filename string | @id string | sameAs string | linsearch string | subject string | title string | abstract string | all@id string | all_sameAs string | linsearch_num int64 | __index_level_0__ int64 |
|---|---|---|---|---|---|---|---|---|---|---|
3A1655110497.jsonld | ['gnd:4047441-0', 'gnd:4121387-7'] | ['Projektmanagement', 'Großprojekt'] | ['pae'] | [['(classificationName=bk, id=181570734)85.27 - Betriebswirtschaftliche Steuerlehre, Betriebliches Prüfungswesen', '(classificationName=bk, id=106408682)85.06 - Unternehmensführung', 'Multiprojektmanagement', '(classificationName=linseach:mapping)oek', '(classificationName=ddc)658.404', 'Project management', '(classificationName=linseach:mapping)pae', '(classificationName=rvk)QP 360']] | ['The Oxford handbook of megaproject management'] | ['This handbook is currently in development, with individual articles publishing online in advance of print publication. At this time, we cannot add information about unpublished articles in this handbook, however the table of contents will continue to grow as additional articles pass through the review process and are added to the site. Please note that the online publication date for this handbook is the date that the first article in the title was published online.'] | ['gnd:137517874', 'gnd:4047441-0', 'gnd:4121387-7', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655110497'] | ['Flyvbjerg, Bent', 'Projektmanagement', 'Großprojekt'] | 20 | 9,849 |
3A1655117688.jsonld | ['gnd:4191521-5', 'gnd:4151200-5', 'gnd:4480489-1'] | ['Eigenwert', 'Toeplitz-Operator', 'Extremer Eigenwert'] | ['mat'] | [['Mathematics, general', '(classificationName=ddc)510', '(classificationName=linseach:mapping)mat', '(classificationName=rvk)SI 850', '(classificationName=bk, id=181569965)31.47 - Operatortheorie', 'Mathematics', '(classificationName=loc)QA1-939']] | ['Extreme Eigen Values of Toeplitz Operators'] | ['Hilbert space background — Small eigen values -- The fourier transform theorem -- The fourier series theorem -- Hilbert space theory — Large eigen values -- The fourier series and fourier transform theorems.'] | ['gnd:1081328533', 'gnd:4151200-5', 'gnd:4191521-5', 'gnd:4480489-1', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655117688'] | ['Hirschman, Isidore Isaac', 'Eigenwert', 'Toeplitz-Operator', 'Extremer Eigenwert'] | 16 | 9,850 |
3A1655124773.jsonld | ['gnd:4012248-7', 'gnd:4021285-3'] | ['Differentialgeometrie', 'Globale Analysis'] | ['mat'] | [['Functions of complex variables.', '(classificationName=loc)QA641-670', 'Differential geometry.', '(classificationName=msc)00B30', 'Manifolds (Mathematics).', '(classificationName=bk, id=106408100)31.52 - Differentialgeometrie', 'Global differential geometry', 'Global analysis', '(classificationName=linseach:mapping)mat', 'Differential equations, partial', '(classificationName=msc)14-06', 'Global analysis (Mathematics).', '(classificationName=msc)32-06', '(classificationName=msc)53Cxx', '(classificationName=msc)32Qxx', '(classificationName=msc)11-06', '(classificationName=msc)*00B15', '(classificationName=ddc)516.36', '(classificationName=rvk)SA 1055', 'Mathematics', '(classificationName=msc)58-06', '(classificationName=msc)53-06', '(classificationName=bk, id=106407546)31.55 - Globale Analysis']] | ['Geometry and Analysis on Manifolds : In Memory of Professor Shoshichi Kobayashi'] | [['This volume is dedicated to the memory of Shoshichi Kobayashi, and gathers contributions from distinguished researchers working on topics close to his research areas. The book is organized into three parts, with the first part presenting an overview of Professor Shoshichi Kobayashi’s career. This is followed by two expository course lectures (the second part) on recent topics in extremal Kähler metrics and value distribution theory, which will be helpful for graduate students in mathematics interested in new topics in complex geometry and complex analysis. Lastly, the third part of the volume collects authoritative research papers on differential geometry and complex analysis. Professor Shoshichi Kobayashi was a recognized international leader in the areas of differential and complex geometry. He contributed crucial ideas that are still considered fundamental in these fields. The book will be of interest to researchers in the fields of differential geometry, complex geometry, and several complex variables geometry, as well as to graduate students in mathematics', '1.Preface -- 2.Academic Genealogy of Shoshichi Kobayashi -- 3.About Professor Shoshichi Kobayashi -- 4.Shoshichi Kobayashi’s Publications -- 5.Course Lectures -- 5.1Toshiki Mabuchi (Osaka University): The Existence Problem of Extremal Kähler Metrics on Polarized Algebraic Manifolds -- 5.2Katsuhiro Yamanoi (Tokyo Institute of Technology): Kobayashi Hyperbolicity and Higher Dimensional Nevanlinna Theory -- 6.Contributed Articles: Jean Pierre Bourguignon, Akito Futaki, Nigel Hitchin, Gary Jensen, Shinichiro Matsuo, Joel Merker, Reiko Miyaoka, Hiraku Nakajima, Junjiro Noguchi, Takeo Ohsawa, Makiko Sumi Tanaka, Yoshihiko Suyama, Hajime Tsuji, Paul Vojta, Shing-Tung Yau, Jae-Hyun Yang, Keizo Hasegawa, and possibly others']] | ['gnd:132610248', 'gnd:172286816', 'gnd:4012248-7', 'gnd:4021285-3', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655124773'] | ['Maeda, Yoshiaki', 'Noguchi, Junjiro', 'Differentialgeometrie', 'Globale Analysis'] | 16 | 9,851 |
3A1655126830.jsonld | ['gnd:4165212-5', 'gnd:4176848-6'] | ['Konvexe Menge', 'Radon-Nikodymscher Satz'] | ['mat'] | [['(classificationName=ddc)515', 'Analysis', '(classificationName=loc)QA299.6-433', 'Global analysis (Mathematics)', 'Mathematical analysis.', 'Mathematics', '(classificationName=linseach:mapping)mat', '(classificationName=rvk)SI 850']] | ['Geometric Aspects of Convex Sets with the Radon-Nikodým Property'] | ['Background -- Basic results -- Extreme points -- Dual spaces -- Asplund spaces and the GSP -- Integral representations -- Selected topics.'] | ['gnd:4165212-5', 'gnd:4176848-6', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655126830'] | ['Konvexe Menge', 'Radon-Nikodymscher Satz'] | 16 | 9,852 |
3A1655128418.jsonld | ['gnd:4038390-8', 'gnd:4300046-0', 'gnd:4183697-2', 'gnd:4047989-4', 'gnd:4063491-7'] | ['Mehrkörpersystem', 'Quantenmechanik', 'Vielteilchensystem', 'Streutheorie', 'Quantenmechanisches System'] | ['mat'] | [['Mathematical physics', 'Quantum physics.', '(classificationName=loc)QC19.2-20.85', '(classificationName=linseach:mapping)mat', 'Physics', '(classificationName=ddc)530.1', 'Mathematical and Computational Physics', '(classificationName=rvk)SI 850']] | ['Scattering Theory for Many-Body Quantum Mechanical Systems — : Rigorous Results'] | ['Spectral decomposition -- Two-space scattering theory -- Scattering theory for N-body systems -- Exact parametrices -- Quasibound states and the finiteness of the discrete spectrum -- Boundary values of the resolvent. General single-channel case -- Boundary values of the resolvent. The general case -- Non-dilation-analytic potentials -- Instability of quasibound-state and embedded eigenvalues.'] | ['gnd:110612043', 'gnd:4038390-8', 'gnd:4047989-4', 'gnd:4063491-7', 'gnd:4183697-2', 'gnd:4300046-0', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655128418'] | ['Sigal, Israel Michael', 'Mehrkörpersystem', 'Quantenmechanik', 'Vielteilchensystem', 'Streutheorie', 'Quantenmechanisches System'] | 16 | 9,853 |
3A1655132954.jsonld | ['gnd:4139970-5', 'gnd:4139972-9'] | ['Endliche Präsentation', 'S-arithmetische Gruppe'] | ['mat'] | [['Group theory', 'Topological Groups', 'Lie groups.', '(classificationName=loc)QA174-183', '(classificationName=ddc)512.2', '(classificationName=linseach:mapping)mat', '(classificationName=msc)20F16', 'Mathematics', '(classificationName=rvk)SI 850', '(classificationName=msc)20G30', '(classificationName=msc)*20F05', '(classificationName=msc)20G25', '(classificationName=bk, id=106408445)31.21 - Gruppentheorie', 'Topological Groups, Lie Groups', '(classificationName=msc)20-02', 'Group Theory and Generalizations']] | ['Finite Presentability of S-Arithmetic Groups Compact Presentability of Solvable Groups'] | ['The problem of determining which S-arithmetic groups have a finite presentation is solved for arbitrary linear algebraic groups over finite extension fields of #3. For certain solvable topological groups this problem may be reduced to an analogous problem, that of compact presentability. Most of this monograph deals with this question. The necessary background material and the general framework in which the problem arises are given partly in a detailed account, partly in survey form. In the last two chapters the application to S-arithmetic groups is given: here the reader is assumed to have some background in algebraic and arithmetic group. The book will be of interest to readers working on infinite groups, topological groups, and algebraic and arithmetic groups'] | ['gnd:4139970-5', 'gnd:4139972-9', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655132954'] | ['Endliche Präsentation', 'S-arithmetische Gruppe'] | 16 | 9,854 |
3A1655141228.jsonld | [] | [] | ['mat'] | [['K-theory', 'Group theory', '(classificationName=msc)14P99', '(classificationName=bk, id=106408119)31.51 - Algebraische Geometrie', 'Group Theory and Generalizations', '(classificationName=loc)QA564-609', 'Mathematics', '(classificationName=msc)14-02', '(classificationName=msc)*14F25', '(classificationName=linseach:mapping)mat', '(classificationName=msc)18B25', '(classificationName=msc)14F20', '(classificationName=rvk)SI 850', '(classificationName=msc)19F27', '(classificationName=msc)18F10', 'K-Theory', '(classificationName=ddc)516.35', '(classificationName=msc)12G05', 'Algebraic Geometry', 'Algebraic geometry.', 'Geometry, algebraic', '(classificationName=msc)18F20']] | ['Real and Étale Cohomology'] | ['This book makes a systematic study of the relations between the étale cohomology of a scheme and the orderings of its residue fields. A major result is that in high degrees, étale cohomology is cohomology of the real spectrum. It also contains new contributions in group cohomology and in topos theory. It is of interest to graduate students and researchers who work in algebraic geometry (not only real) and have some familiarity with the basics of étale cohomology and Grothendieck sites. Independently, it is of interest to people working in the cohomology theory of groups or in topos theory'] | ['gnd:4153071-8', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655141228'] | ['Etalkohomologie'] | 16 | 9,855 |
3A1655143972.jsonld | ['gnd:4130355-6', 'gnd:4304027-5'] | ['Lie-Algebra', 'Lie-Superalgebra'] | ['mat'] | [['(classificationName=loc)QA150-272', '(classificationName=ddc)512', 'Algebra', '(classificationName=bk, id=106418971)31.23 - Ideale, Ringe, Moduln, Algebren', '(classificationName=linseach:mapping)mat', '(classificationName=rvk)SI 850', 'Mathematics']] | ['The Theory of Lie Superalgebras : An Introduction'] | ['Preparatory remarks -- Formal constructions -- Simple Lie superalgebras -- A survey of some further developments.'] | ['gnd:4130355-6', 'gnd:4304027-5', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655143972'] | ['Lie-Algebra', 'Lie-Superalgebra'] | 16 | 9,856 |
3A1655148141.jsonld | ['gnd:4158469-7', 'gnd:4044292-5', 'gnd:4014651-0'] | ['Endliche Gruppe', 'p-adische Zahl', 'Gruppenring'] | ['mat'] | [['Group theory', '(classificationName=linseach:mapping)mat', '(classificationName=ddc)512.2', '(classificationName=loc)QA174-183', '(classificationName=rvk)SI 850', 'Mathematics', 'Group Theory and Generalizations']] | ['Group Rings of Finite Groups Over p-adic Integers'] | ['Graduated and graduable orders -- The conductor formula for graduated hulls of selfdual orders -- Selfdual orders with decomposition numbers 0 and 1 -- Blocks of multiplicity 1 -- Examples of group rings -- The principal 2-block of SL2(q) for odd prime powers q -- Blocks with cyclic defect groups.'] | ['gnd:4014651-0', 'gnd:4044292-5', 'gnd:4158469-7', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655148141'] | ['Endliche Gruppe', 'p-adische Zahl', 'Gruppenring'] | 16 | 9,857 |
3A1655158767.jsonld | ['gnd:4014306-5', 'gnd:4158123-4', 'gnd:4207852-0', 'gnd:4150912-2'] | ['Elektromagnetismus', 'Dyadische Differentialrechnung', 'Green-Funktion', 'Unendlichdimensionaler Raum'] | ['mat'] | [['(classificationName=linseach:mapping)mat', 'Electricity, electromagnetism & magnetism ; bicssc', '(classificationName=msc)78A25', '(classificationName=bk, id=106407880)33.16 - Elektrizität, Magnetismus', "Green's functions", '(classificationName=ddc)530.1/41', '(classificationName=linseach:mapping)phy', '(classificationName=msc)*78-02', '(classificationName=msc)00A79', 'Electromagnetic theory', '(classificationName=bk, id=106407937)33.06 - Mathematische Methoden der Physik', 'SCIENCE / Physics / Electricity ; bisacsh', 'Electromagnetic theory ; Mathematics', '(classificationName=msc)78M99', 'Electricity, electromagnetism & magnetism', 'SCIENCE / Physics / Electricity']] | ['Infinite-space dyadic Green functions in electromagnetism'] | ['In any linear system the input and the output are connected by means of a linear operator. When the input can be notionally represented by a function that is null valued everywhere except at a specific location in spacetime, the corresponding output is called the Green function in field theories. Dyadic Green functions are commonplace in electromagnetics, because both the input and the output are vector functions of space and time. This book provides a survey of the state-of-the-art knowledge of infinite-space dyadic Green functions. Part of Series on Electromagnetics and Metamaterials'] | ['gnd:118006460', 'gnd:4014306-5', 'gnd:4150912-2', 'gnd:4158123-4', 'gnd:4207852-0', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655158767'] | ['Lakhtakia, Akhlesh', 'Elektromagnetismus', 'Dyadische Differentialrechnung', 'Green-Funktion', 'Unendlichdimensionaler Raum'] | 16 | 9,858 |
3A1655158767.jsonld | ['gnd:4014306-5', 'gnd:4158123-4', 'gnd:4207852-0', 'gnd:4150912-2'] | ['Elektromagnetismus', 'Dyadische Differentialrechnung', 'Green-Funktion', 'Unendlichdimensionaler Raum'] | ['phy'] | [['(classificationName=linseach:mapping)mat', 'Electricity, electromagnetism & magnetism ; bicssc', '(classificationName=msc)78A25', '(classificationName=bk, id=106407880)33.16 - Elektrizität, Magnetismus', "Green's functions", '(classificationName=ddc)530.1/41', '(classificationName=linseach:mapping)phy', '(classificationName=msc)*78-02', '(classificationName=msc)00A79', 'Electromagnetic theory', '(classificationName=bk, id=106407937)33.06 - Mathematische Methoden der Physik', 'SCIENCE / Physics / Electricity ; bisacsh', 'Electromagnetic theory ; Mathematics', '(classificationName=msc)78M99', 'Electricity, electromagnetism & magnetism', 'SCIENCE / Physics / Electricity']] | ['Infinite-space dyadic Green functions in electromagnetism'] | ['In any linear system the input and the output are connected by means of a linear operator. When the input can be notionally represented by a function that is null valued everywhere except at a specific location in spacetime, the corresponding output is called the Green function in field theories. Dyadic Green functions are commonplace in electromagnetics, because both the input and the output are vector functions of space and time. This book provides a survey of the state-of-the-art knowledge of infinite-space dyadic Green functions. Part of Series on Electromagnetics and Metamaterials'] | ['gnd:118006460', 'gnd:4014306-5', 'gnd:4150912-2', 'gnd:4158123-4', 'gnd:4207852-0', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655158767'] | ['Lakhtakia, Akhlesh', 'Elektromagnetismus', 'Dyadische Differentialrechnung', 'Green-Funktion', 'Unendlichdimensionaler Raum'] | 22 | 9,859 |
3A1655162004.jsonld | ['gnd:4181701-1', 'gnd:4164610-1', 'gnd:4523143-6', 'gnd:4056139-2', 'gnd:4128084-2', 'gnd:4116561-5'] | ['Spektrum', 'Spektraltheorie', 'Ring (Mathematik)', 'Kohomologietheorie', 'Smash-Produkt', 'Ringspektrum'] | ['mat'] | [['(classificationName=rvk)SI 850', '(classificationName=ddc)512', 'Mathematics', '(classificationName=loc)QA150-272', 'Algebra', '(classificationName=linseach:mapping)mat']] | ['H∞ Ring Spectra and their Applications'] | ['Extended powers and H? ring spectra -- Miscellaneous applications in stable homotopy theory -- Homology operations for H? and Hn ring spectra -- The homotopy theory of H? ring spectra -- The homotopy groups of H? ring spectra -- The adams spectral sequence of H? ring spectra -- H? ring spectra via space-level homotopy theory -- Power operations in H ? d ring theories -- The mod p k-theory of QX.'] | ['gnd:1013862600', 'gnd:1157353797', 'gnd:4056139-2', 'gnd:4116561-5', 'gnd:4128084-2', 'gnd:4164610-1', 'gnd:4181701-1', 'gnd:4523143-6', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655162004'] | ['Bruner, Robert R.', 'McClure, James E.', 'Spektrum', 'Spektraltheorie', 'Ring (Mathematik)', 'Kohomologietheorie', 'Smash-Produkt', 'Ringspektrum'] | 16 | 9,860 |
3A1655170309.jsonld | ['gnd:4293830-2', 'gnd:4079013-7', 'gnd:4067486-1', 'gnd:4126466-6', 'gnd:4056995-0', 'gnd:4064324-4', 'gnd:4451047-0', 'gnd:4150968-7', 'gnd:4126478-2'] | ['Statistik', 'Wahrscheinlichkeitsrechnung', 'Zeitreihenanalyse', 'Wahrscheinlichkeitstheorie', 'Martingal', 'Stochastisches Integral', 'Ebene', 'Parameter (Mathematik)', 'Robuste Statistik'] | ['mat'] | [['Zeitreihenanalyse', '(classificationName=rvk)SI 850', 'Wahrscheinlichkeitstheorie', 'Statistics, general', 'Statistics', 'Mathematics', '(classificationName=ddc)519.2', 'Probabilities.', 'Probability Theory and Stochastic Processes', '(classificationName=loc)QA274-274.9', '(classificationName=linseach:mapping)mat', '(classificationName=loc)QA273.A1-274.9', 'Statistische Methodenlehre', 'Distribution (Probability theory)']] | ['Lectures in Probability and Statistics : Lectures given at the Winter School in Probability and Statistics held in Santiago de Chile'] | ['Theorie de la robustesse -- On the behavior of the hydrodynamical limit for stochastic particle systems -- Topics in advanced time series analysis -- Martingales with a multidimensional parameter and stochastic integrals in the plane.'] | ['gnd:17234915X', 'gnd:4056995-0', 'gnd:4064324-4', 'gnd:4067486-1', 'gnd:4079013-7', 'gnd:4126466-6', 'gnd:4126478-2', 'gnd:4150968-7', 'gnd:4293830-2', 'gnd:4451047-0', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655170309'] | ['Rost, Hermann', 'Statistik', 'Wahrscheinlichkeitsrechnung', 'Zeitreihenanalyse', 'Wahrscheinlichkeitstheorie', 'Martingal', 'Stochastisches Integral', 'Ebene', 'Parameter (Mathematik)', 'Robuste Statistik'] | 16 | 9,861 |
3A1655173782.jsonld | ['gnd:4332335-2', 'gnd:4332336-4'] | ['Regularisierte Reihe', 'Regularisiertes Produkt'] | ['mat'] | [['Global analysis (Mathematics)', 'Number Theory', 'Analysis', '(classificationName=loc)QA241-247.5', '(classificationName=ddc)512.7', 'Topological Groups, Lie Groups', '(classificationName=msc)11-06', 'Differential Geometry', '(classificationName=rvk)SI 850', 'Mathematical analysis.', 'Global differential geometry', 'Mathematics', 'Topological Groups', '(classificationName=msc)*00B15', '(classificationName=msc)30-06', 'Lie groups.', 'Geometry, Differential.', '(classificationName=linseach:mapping)mat', 'Number theory']] | ['Explicit Formulas for Regularized Products and Series'] | ['The theory of explicit formulas for regularized products and series forms a natural continuation of the analytic theory developed in LNM 1564. These explicit formulas can be used to describe the quantitative behavior of various objects in analytic number theory and spectral theory. The present book deals with other applications arising from Gaussian test functions, leading to theta inversion formulas and corresponding new types of zeta functions which are Gaussian transforms of theta series rather than Mellin transforms, and satisfy additive functional equations. Their wide range of applications includes the spectral theory of a broad class of manifolds and also the theory of zeta functions in number theory and representation theory. Here the hyperbolic 3-manifolds are given as a significant example'] | ['gnd:119305119', 'gnd:139157026', 'gnd:4332335-2', 'gnd:4332336-4', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655173782'] | ['Lang, Serge', 'Jorgenson, Jay', 'Regularisierte Reihe', 'Regularisiertes Produkt'] | 16 | 9,862 |
3A1655181440.jsonld | ['gnd:4040195-9', 'gnd:4489056-4'] | ['Moor', 'Klimazeuge'] | ['geo'] | [['Climatic changes', '(classificationName=loc)GB621', '(classificationName=ddc)577.68/7', 'NATURE ; Ecology', 'Soils and climate', 'Electronic books', 'Moor', 'SCIENCE ; Life Sciences ; Ecology', 'Klimaänderung', 'Ökosystem', 'SCIENCE ; Environmental Science (see also Chemistry ; Environmental)', 'NATURE ; Ecosystems & Habitats ; Wilderness', 'Peatlands', '(classificationName=linseach:mapping)geo', '(classificationName=ddc)577.687']] | ['Peatlands : evolution and records of environmental and climate changes'] | ["'In the past two decades there has been considerable work on global climatic change and its effect on the ecosphere, as well as on local and global environmental changes triggered by human activities. From the tropics to the Arctic, peatlands have developed under various geological conditions, and they provide good records of global and local changes since the Late Pleistocene. The objectives of the book are to analyze topics such as geological evolution of major peatlands basins; peatlands as self sustaining ecosystems; chemical environment of peatlands: water and peat chemistry; peatlands as archives of environmental changes; influence of peatlands on atmosphere: circular complex interactions; remote sensing studies of peatlands; peatlands as a resource; peatlands degradation, restoration, plus more.' * Presents an interdisciplinary approach, with an emphasis on Earth Science, and addresses the need for integration between subdisciplines and the developing of new approaches * Synthesizes the evolutionary, ecological, and chemical characteristics of major peatlands, as well as focuses on the environmental changes, from climate changes to surface ares changes due to human activities * Covers topical studies of worldwide interest and provides examples from many different countries"] | ['gnd:123728320', 'gnd:4040195-9', 'gnd:4489056-4', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655181440'] | ['Martini, I. P.', 'Moor', 'Klimazeuge'] | 8 | 9,863 |
3A1655185616.jsonld | [] | [] | ['mat'] | [['(classificationName=ddc)515', 'Mathematics', 'Mathematical analysis.', 'Mathematics, general', '(classificationName=loc)QA1-939', '(classificationName=bk, id=106408186)31.41 - Reelle Analysis', '(classificationName=rvk)SI 850', '(classificationName=ddc)510', '(classificationName=linseach:mapping)mat']] | ['Singular Integrals'] | ['Preliminaries -- Convolutions -- Fourier transforms -- The Hilbert Transform -- Singular integrals in En -- Preface -- Notation -- Distributions and Fourier transforms -- Singular integrals and Sobolev spaces -- Spherical harmonics -- Singular integral operators.'] | ['gnd:1145483844', 'gnd:4181533-6', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655185616'] | ['Neri, Umberto', 'Singuläres Integral'] | 16 | 9,864 |
3A1655188178.jsonld | ['gnd:4408112-1', 'gnd:4236037-7', 'gnd:4070505-5', 'gnd:4671155-7'] | ['Distribution (Funktionalanalysis)', 'Unbeschränkter Operator', 'Quotientenraum', 'Trajektorienraum'] | ['mat'] | [['(classificationName=loc)QA299.6-433', 'Analysis', '(classificationName=linseach:mapping)mat', '(classificationName=bk, id=106411217)31.46 - Funktionalanalysis', '(classificationName=rvk)SI 850', 'Mathematical analysis.', 'Global analysis (Mathematics)', 'Mathematics', '(classificationName=ddc)515']] | ['Trajectory Spaces, Generalized Functions and Unbounded Operators'] | ["Prologue -- Analyticity spaces, trajectory spaces and linear mappings between them -- Illustrative examples of analyticity spaces -- Compound spaces, tensor products and kernel theorems -- Algebras of continuous linear mappings on analyticity spaces and trajectory spaces -- A mathematical interpretation of Dirac's formalism for quantum mechanics."] | ['gnd:1089185103', 'gnd:4070505-5', 'gnd:4236037-7', 'gnd:4408112-1', 'gnd:4671155-7', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655188178'] | ['Eijndhoven, Stephanus Jacobus Louis', 'Distribution (Funktionalanalysis)', 'Unbeschränkter Operator', 'Quotientenraum', 'Trajektorienraum'] | 16 | 9,865 |
3A1655189786.jsonld | ['gnd:4183925-0', 'gnd:4194873-7', 'gnd:4182162-2', 'gnd:4013396-5'] | ['Dynamisches System', 'Spektraldarstellung', 'Substitution', 'Unitärer Operator'] | ['mat'] | [['(classificationName=rvk)SI 850', 'Discrete mathematics.', 'Topological Groups', '(classificationName=loc)QA387', 'Number Theory', '(classificationName=msc)28-02', 'Lie groups.', 'Combinatorics', 'Analysis', 'Number theory', '(classificationName=loc)QA252.3', 'Topological Groups, Lie Groups', '(classificationName=linseach:mapping)mat', 'Mathematics', '(classificationName=msc)11K55', '(classificationName=ddc)512.55', '(classificationName=msc)*28D99', '(classificationName=ddc)512.482', 'Mathematical analysis.', '(classificationName=msc)11-02', 'Global analysis (Mathematics)']] | ['Substitution Dynamical Systems-Spectral Analysis'] | ['The algebra M(T) -- Spectral theory of unitary operators -- Spectral theory of dynamical systems -- Dynamical systems associated to sequences -- Dynamical systems aristing from substitutions -- Eigenvalues of substitution dynamical system -- Matrices of measures -- Matrix riesz products -- Bijective automata or substitutions -- Maximal spectral type of general automata -- Spectral multiplicity of general automata.'] | ['gnd:4013396-5', 'gnd:4182162-2', 'gnd:4183925-0', 'gnd:4194873-7', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655189786'] | ['Dynamisches System', 'Spektraldarstellung', 'Substitution', 'Unitärer Operator'] | 16 | 9,866 |
3A1655199315.jsonld | ['gnd:4040708-1', 'gnd:4120997-7'] | ['Multivariate Analyse', 'Berechnung'] | ['mat'] | [['(classificationName=rvk)SI 850', '(classificationName=bk, id=106418963)31.12 - Kombinatorik, Graphentheorie', 'Mathematics, general', '(classificationName=linseach:mapping)mat', '(classificationName=ddc)510', '(classificationName=bk, id=106418998)31.73 - Mathematische Statistik', '(classificationName=loc)QA1-939', 'Algebras, Linear.', 'Mathematics', '(classificationName=ddc)512.5']] | ['Techniques of Multivariate Calculation'] | ['and brief survey -- Transforms -- Locally compact groups and Haar measure -- Wishart’s paper -- The noncentral Wishart density function -- Manifolds and exterior differential forms -- Invariant measures on manifolds -- Decompositions of matrices -- Examples using differential forms -- Cross sections and maximal invariants -- Random variable techniques -- The construction of zonal polynomials -- Problems for users of zonal polynomials.'] | ['gnd:4040708-1', 'gnd:4120997-7', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655199315'] | ['Multivariate Analyse', 'Berechnung'] | 16 | 9,867 |
3A1655205684.jsonld | ['gnd:4141839-6', 'gnd:4127386-2'] | ['Transformationsgruppe', 'Algebraische K-Theorie'] | ['mat'] | [['(classificationName=linseach:mapping)mat', '(classificationName=msc)57Q10', '(classificationName=msc)57S15', '(classificationName=msc)55R91', '(classificationName=loc)QA612-612.8', '(classificationName=msc)19Jxx', 'Algebraic topology', '(classificationName=bk, id=106407708)31.65 - Mannigfaltigkeiten, Zellkomplexe', '(classificationName=msc)57Q12', 'Mathematics', '(classificationName=msc)*57S17', '(classificationName=bk, id=106408437)31.27 - Kategorientheorie', '(classificationName=msc)57R91', '(classificationName=msc)57-02', '(classificationName=msc)57Q91', '(classificationName=msc)19-02', '(classificationName=msc)55R12', '(classificationName=bk, id=106407716)31.61 - Algebraische Topologie', '(classificationName=msc)57R67', 'Algebraic Topology', '(classificationName=rvk)SI 850', '(classificationName=ddc)514.2']] | ['Transformation Groups and Algebraic K-Theory'] | ['The book focuses on the relation between transformation groups and algebraic K-theory. The general pattern is to assign to a geometric problem an invariant in an algebraic K-group which determines the problem. The algebraic K-theory of modules over a category is studied extensively and appplied to the fundamental category of G-space. Basic details of the theory of transformation groups sometimes hard to find in the literature, are collected here (Chapter I) for the benefit of graduate students. Chapters II and III contain advanced new material of interest to researchers working in transformation groups, algebraic K-theory or related fields'] | ['gnd:4127386-2', 'gnd:4141839-6', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655205684'] | ['Transformationsgruppe', 'Algebraische K-Theorie'] | 16 | 9,868 |
3A1655211137.jsonld | ['gnd:4195660-6', 'gnd:4001161-6'] | ['Algebraische Geometrie', 'Algebraische Fläche'] | ['mat'] | [['Mathematics', '(classificationName=ddc)510', '(classificationName=loc)QA1-939', 'Mathematics, general', '(classificationName=rvk)SI 850', '(classificationName=linseach:mapping)mat']] | ['An Introduction to the Theory of Algebraic Surfaces : Notes by James Cohn, Harvard University, 1957–58'] | ['Homogeneous and non-homogeneous point coordinates -- Coordinate rings of irreducible varieties -- Normal varieties -- Divisorial cycles on a normal projective variety V/k (dim(V)=r?1) -- Linear systems -- Divisors on an arbitrary variety V -- Intersection theory on algebraic surfaces (k algebraically closed) -- Differentials -- The canonical system on a variety V -- Trace of a differential -- The arithemetic genus -- Normalization and complete systems -- The Hilbert characteristic function and the arithmetic genus of a variety -- The Riemann-Roch theorem -- Subadjoint polynomials -- Proof of the fundamental lemma.'] | ['gnd:119042940', 'gnd:4001161-6', 'gnd:4195660-6', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655211137'] | ['Zariski, Oscar', 'Algebraische Geometrie', 'Algebraische Fläche'] | 16 | 9,869 |
3A1655213113.jsonld | ['gnd:4140476-2', 'gnd:4128503-7'] | ['Untermannigfaltigkeit', 'Kritischer Punkt'] | ['mat'] | [['(classificationName=msc)53C42', '(classificationName=msc)58-02', '(classificationName=rvk)SI 850', '(classificationName=ddc)516', '(classificationName=msc)53-02', '(classificationName=msc)53C40', 'Geometry', 'Real Functions', 'Mathematics—Study and teaching .', '(classificationName=linseach:mapping)mat', 'Topology.', '(classificationName=msc)*49-02', '(classificationName=msc)58E05', 'Mathematics', '(classificationName=loc)QA440-699']] | ['Critical Point Theory and Submanifold Geometry'] | ['Preliminaries -- Local geometry of submanifolds -- Weingarten Surfaces in three dimensional space forms -- Focal points -- Transformation groups -- Isoparametric submanifolds -- Proper Fredholm submanifolds in Hilbert spaces -- Topology of isoparametric submanifolds -- Elementary critical point theory -- Advanced critical point theory -- The calculus of variations.'] | ['gnd:141996048', 'gnd:4128503-7', 'gnd:4140476-2', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655213113'] | ['Palais, Richard S.', 'Untermannigfaltigkeit', 'Kritischer Punkt'] | 16 | 9,870 |
3A1655219596.jsonld | [] | [] | ['mat'] | [['Analysis', 'Mathematics', 'Mathematical analysis.', '(classificationName=msc)*46F99', '(classificationName=rvk)SI 850', '(classificationName=ddc)515', '(classificationName=linseach:mapping)mat', '(classificationName=msc)46F10', '(classificationName=bk, id=106411217)31.46 - Funktionalanalysis', '(classificationName=loc)QA299.6-433', 'Global analysis (Mathematics)', '(classificationName=msc)46F05']] | ['A Nonlinear Theory of Generalized Functions'] | ["This book provides a simple introduction to a nonlinear theory of generalized functions introduced by J.F. Colombeau, which gives a meaning to any multiplication of distributions. This theory extends from pure mathematics (it presents a faithful generalization of the classical theory of C? functions and provides a synthesis of most existing multiplications of distributions) to physics (it permits the resolution of ambiguities that appear in products of distributions), passing through the theory of partial differential equations both from the theoretical viewpoint (it furnishes a concept of weak solution of pde's leading to existence-uniqueness results in many cases where no distributional solution exists) and the numerical viewpoint (it introduces new and efficient methods developed recently in elastoplasticity, hydrodynamics and acoustics). This text presents basic concepts and results which until now were only published in article form. It is in- tended for mathematicians but, since the theory and applications are not dissociated it may also be useful for physicists and engineers. The needed prerequisites for its reading are essentially reduced to the classical notions of differential calculus and the theory of integration over n-dimensional euclidean spaces"] | ['gnd:4070505-5', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655219596'] | ['Distribution (Funktionalanalysis)'] | 16 | 9,871 |
3A1655225669.jsonld | ['gnd:4063491-7', 'gnd:4057630-9', 'gnd:4064937-4', 'gnd:4026302-2'] | ['Hydrodynamik', 'Stochastischer Prozess', 'Vielteilchensystem', 'Wechselwirkung'] | ['mat'] | [['Statistical Physics', 'Mathematics', '(classificationName=msc)60-02', '(classificationName=msc)*60K35', '(classificationName=loc)QA274-274.9', '(classificationName=loc)QA273.A1-274.9', '(classificationName=linseach:mapping)mat', 'Mathematical physics.', 'Probability Theory and Stochastic Processes', '(classificationName=msc)82B05', '(classificationName=rvk)SI 850', 'Statistical physics', 'Distribution (Probability theory)', 'Probabilities.', '(classificationName=ddc)519.2', 'System theory.']] | ['Mathematical Methods for Hydrodynamic Limits'] | ["Entropy inequalities, correlation functions, couplings between stochastic processes are powerful techniques which have been extensively used to give arigorous foundation to the theory of complex, many component systems and to its many applications in a variety of fields as physics, biology, population dynamics, economics, .. The purpose of the book is to make theseand other mathematical methods accessible to readers with a limited background in probability and physics by examining in detail a few models where the techniques emerge clearly, while extra difficulties arekept to a minimum. Lanford's method and its extension to the hierarchy of equations for the truncated correlation functions, the v-functions, are presented and applied to prove the validity of macroscopic equations forstochastic particle systems which are perturbations of the independent and of the symmetric simple exclusion processes. Entropy inequalities are discussed in the frame of the Guo-Papanicolaou-Varadhan technique and of theKipnis-Olla-Varadhan super exponential estimates, with reference to zero-range models. Discrete velocity Boltzmann equations, reaction diffusion equations and non linear parabolic equations are considered, as limits of particles models. Phase separation phenomena are discussed in the context of Glauber+Kawasaki evolutions and reaction diffusion equations. Although the emphasis is onthe mathematical aspects, the physical motivations are explained through theanalysis of the single models, without attempting, however to survey the entire subject of hydrodynamical limits"] | ['gnd:4026302-2', 'gnd:4057630-9', 'gnd:4063491-7', 'gnd:4064937-4', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655225669'] | ['Hydrodynamik', 'Stochastischer Prozess', 'Vielteilchensystem', 'Wechselwirkung'] | 16 | 9,872 |
3A165522722X.jsonld | ['gnd:4165213-7', 'gnd:4046876-8', 'gnd:4002498-2'] | ['Approximation', 'Positiver Operator', 'Konvexer Kegel'] | ['mat'] | [['(classificationName=ddc)515', '(classificationName=msc)41-02', 'Analysis', 'Mathematical analysis.', '(classificationName=msc)*41A65', 'Mathematics', 'Global analysis (Mathematics)', '(classificationName=bk, id=106411217)31.46 - Funktionalanalysis', '(classificationName=loc)QA299.6-433', '(classificationName=rvk)SI 850', '(classificationName=linseach:mapping)mat']] | ['Ordered Cones and Approximation'] | ['This book presents a unified approach to Korovkin-type approximation theorems. It includes classical material on the approximation of real-valuedfunctions as well as recent and new results on set-valued functions and stochastic processes, and on weighted approximation. The results are notonly of qualitative nature, but include quantitative bounds on the order of approximation. The book is addressed to researchers in functional analysis and approximation theory as well as to those that want to applythese methods in other fields. It is largely self- contained, but the readershould have a solid background in abstract functional analysis. The unified approach is based on a new notion of locally convex ordered cones that are not embeddable in vector spaces but allow Hahn-Banach type separation and extension theorems. This concept seems to be of independent interest'] | ['gnd:4002498-2', 'gnd:4046876-8', 'gnd:4165213-7', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A165522722X'] | ['Approximation', 'Positiver Operator', 'Konvexer Kegel'] | 16 | 9,873 |
3A1655228390.jsonld | ['gnd:4208537-8', 'gnd:4001183-5', 'gnd:4132100-5'] | ['Algorithmus', 'Polyedrische Kombinatorik', 'Netzwerktopologie'] | ['oek'] | [['Optimization', '(classificationName=rvk)SI 850', 'Communications Engineering, Networks', 'Numerical and Computational Methods in Engineering', '(classificationName=msc)90B18', '(classificationName=bk, id=106417320)85.03 - Methoden und Techniken der Betriebswirtschaft', '(classificationName=msc)90C10', 'System theory.', 'Mathematical optimization', '(classificationName=rvk)SK 890', 'Control theory.', 'Systems Theory, Control', '(classificationName=ddc)519', 'Engineering—Data processing.', '(classificationName=linseach:mapping)oek', '(classificationName=loc)Q295', 'Telecommunication', 'Mathematics', 'Calculus of variations.', '(classificationName=msc)*90C27', '(classificationName=loc)QA402.3-402.37', 'Engineering mathematics.', 'Systems theory', 'Chemistry', 'Chemometrics.', 'Computer science—Mathematics.', 'Calculus of Variations and Optimal Control', '(classificationName=ddc)620', 'Probabilities.', '(classificationName=linseach:mapping)mat', 'Math. Applications in Chemistry']] | ['Design of Survivable Networks'] | ['The problem of designing a cost-efficient network that survives the failure of one or more nodes or edges of the network is critical to modern telecommunications engineering. The method developed in this book is designed to solve such problems to optimality. In particular, a cutting plane approach is described, based on polyhedral combinatorics, that is ableto solve real-world problems of this type in short computation time. These results are of interest for practitioners in the area of communication network design. The book is addressed especially to the combinatorial optimization community, but also to those who want to learn polyhedral methods. In addition, interesting new research problemsare formulated'] | ['gnd:4001183-5', 'gnd:4132100-5', 'gnd:4208537-8', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655228390'] | ['Algorithmus', 'Polyedrische Kombinatorik', 'Netzwerktopologie'] | 19 | 9,874 |
3A1655228390.jsonld | ['gnd:4208537-8', 'gnd:4001183-5', 'gnd:4132100-5'] | ['Algorithmus', 'Polyedrische Kombinatorik', 'Netzwerktopologie'] | ['mat'] | [['Optimization', '(classificationName=rvk)SI 850', 'Communications Engineering, Networks', 'Numerical and Computational Methods in Engineering', '(classificationName=msc)90B18', '(classificationName=bk, id=106417320)85.03 - Methoden und Techniken der Betriebswirtschaft', '(classificationName=msc)90C10', 'System theory.', 'Mathematical optimization', '(classificationName=rvk)SK 890', 'Control theory.', 'Systems Theory, Control', '(classificationName=ddc)519', 'Engineering—Data processing.', '(classificationName=linseach:mapping)oek', '(classificationName=loc)Q295', 'Telecommunication', 'Mathematics', 'Calculus of variations.', '(classificationName=msc)*90C27', '(classificationName=loc)QA402.3-402.37', 'Engineering mathematics.', 'Systems theory', 'Chemistry', 'Chemometrics.', 'Computer science—Mathematics.', 'Calculus of Variations and Optimal Control', '(classificationName=ddc)620', 'Probabilities.', '(classificationName=linseach:mapping)mat', 'Math. Applications in Chemistry']] | ['Design of Survivable Networks'] | ['The problem of designing a cost-efficient network that survives the failure of one or more nodes or edges of the network is critical to modern telecommunications engineering. The method developed in this book is designed to solve such problems to optimality. In particular, a cutting plane approach is described, based on polyhedral combinatorics, that is ableto solve real-world problems of this type in short computation time. These results are of interest for practitioners in the area of communication network design. The book is addressed especially to the combinatorial optimization community, but also to those who want to learn polyhedral methods. In addition, interesting new research problemsare formulated'] | ['gnd:4001183-5', 'gnd:4132100-5', 'gnd:4208537-8', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655228390'] | ['Algorithmus', 'Polyedrische Kombinatorik', 'Netzwerktopologie'] | 16 | 9,875 |
3A1655229869.jsonld | ['gnd:4129610-2', 'gnd:4169315-2'] | ['Strömungsmesstechnik', 'Mehrphasenströmung'] | ['che'] | [['Alimonti', 'Petroleum pipelines', '(classificationName=loc)TN879.5', '(classificationName=bk, id=106417746)58.21 - Brennstoffe, Kraftstoffe, Explosivstoffe', 'Flow meters', 'Hewitt', '(classificationName=ssg)13', '(classificationName=linseach:mapping)che', 'Multiphase flow', '(classificationName=ddc)665.544', '(classificationName=bk, id=106413783)50.33 - Technische Strömungsmechanik', 'Petroleum pipelines ; Fluid dynamics', 'Fluid dynamics', 'Electronic books', '(classificationName=linseach:mapping)phy', '(classificationName=linseach:mapping)cet']] | ['Multiphase flow metering : principles and applications'] | ["Over the last two decades the development, evaluation and use of MFM systems has been a major focus for the Oil & Gas industry worldwide. Since the early 1990's, when the first commercial meters started to appear, there have been around 2,000 field applications of MFM for field allocation, production optimisation and well testing. So far, many alternative metering systems have been developed, but none of them can be referred to as generally applicable or universally accurate. Both established and novel technologies suitable to measure the flow rates of gas, oil and water in a three-phase flow are reviewed and assessed within this book. Those technologies already implemented in the various commercial meters are evaluated in terms of operational and economical advantages or shortcomings from an operator point of view. The lessons learned about the practical reliability, accuracy and use of the available technology is discussed. The book suggests where the research to develop the next generation of MFM devices will be focused in order to meet the as yet unsolved problems. The book provides a critical and independent review of the current status and future trends of MFM, supported by the authors' strong background on multiphase flow and by practical examples. These are based on the authors' direct experience on MFM, gained over many years of research in connection with both operators and service companies"] | ['gnd:4129610-2', 'gnd:4169315-2', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655229869'] | ['Strömungsmesstechnik', 'Mehrphasenströmung'] | 5 | 9,876 |
3A1655229869.jsonld | ['gnd:4129610-2', 'gnd:4169315-2'] | ['Strömungsmesstechnik', 'Mehrphasenströmung'] | ['phy'] | [['Alimonti', 'Petroleum pipelines', '(classificationName=loc)TN879.5', '(classificationName=bk, id=106417746)58.21 - Brennstoffe, Kraftstoffe, Explosivstoffe', 'Flow meters', 'Hewitt', '(classificationName=ssg)13', '(classificationName=linseach:mapping)che', 'Multiphase flow', '(classificationName=ddc)665.544', '(classificationName=bk, id=106413783)50.33 - Technische Strömungsmechanik', 'Petroleum pipelines ; Fluid dynamics', 'Fluid dynamics', 'Electronic books', '(classificationName=linseach:mapping)phy', '(classificationName=linseach:mapping)cet']] | ['Multiphase flow metering : principles and applications'] | ["Over the last two decades the development, evaluation and use of MFM systems has been a major focus for the Oil & Gas industry worldwide. Since the early 1990's, when the first commercial meters started to appear, there have been around 2,000 field applications of MFM for field allocation, production optimisation and well testing. So far, many alternative metering systems have been developed, but none of them can be referred to as generally applicable or universally accurate. Both established and novel technologies suitable to measure the flow rates of gas, oil and water in a three-phase flow are reviewed and assessed within this book. Those technologies already implemented in the various commercial meters are evaluated in terms of operational and economical advantages or shortcomings from an operator point of view. The lessons learned about the practical reliability, accuracy and use of the available technology is discussed. The book suggests where the research to develop the next generation of MFM devices will be focused in order to meet the as yet unsolved problems. The book provides a critical and independent review of the current status and future trends of MFM, supported by the authors' strong background on multiphase flow and by practical examples. These are based on the authors' direct experience on MFM, gained over many years of research in connection with both operators and service companies"] | ['gnd:4129610-2', 'gnd:4169315-2', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655229869'] | ['Strömungsmesstechnik', 'Mehrphasenströmung'] | 22 | 9,877 |
3A1655229869.jsonld | ['gnd:4129610-2', 'gnd:4169315-2'] | ['Strömungsmesstechnik', 'Mehrphasenströmung'] | ['cet'] | [['Alimonti', 'Petroleum pipelines', '(classificationName=loc)TN879.5', '(classificationName=bk, id=106417746)58.21 - Brennstoffe, Kraftstoffe, Explosivstoffe', 'Flow meters', 'Hewitt', '(classificationName=ssg)13', '(classificationName=linseach:mapping)che', 'Multiphase flow', '(classificationName=ddc)665.544', '(classificationName=bk, id=106413783)50.33 - Technische Strömungsmechanik', 'Petroleum pipelines ; Fluid dynamics', 'Fluid dynamics', 'Electronic books', '(classificationName=linseach:mapping)phy', '(classificationName=linseach:mapping)cet']] | ['Multiphase flow metering : principles and applications'] | ["Over the last two decades the development, evaluation and use of MFM systems has been a major focus for the Oil & Gas industry worldwide. Since the early 1990's, when the first commercial meters started to appear, there have been around 2,000 field applications of MFM for field allocation, production optimisation and well testing. So far, many alternative metering systems have been developed, but none of them can be referred to as generally applicable or universally accurate. Both established and novel technologies suitable to measure the flow rates of gas, oil and water in a three-phase flow are reviewed and assessed within this book. Those technologies already implemented in the various commercial meters are evaluated in terms of operational and economical advantages or shortcomings from an operator point of view. The lessons learned about the practical reliability, accuracy and use of the available technology is discussed. The book suggests where the research to develop the next generation of MFM devices will be focused in order to meet the as yet unsolved problems. The book provides a critical and independent review of the current status and future trends of MFM, supported by the authors' strong background on multiphase flow and by practical examples. These are based on the authors' direct experience on MFM, gained over many years of research in connection with both operators and service companies"] | ['gnd:4129610-2', 'gnd:4169315-2', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655229869'] | ['Strömungsmesstechnik', 'Mehrphasenströmung'] | 4 | 9,878 |
3A1655231340.jsonld | ['gnd:4180293-7', 'gnd:4012469-1', 'gnd:4027229-1'] | ['Diskretisierung', 'Integralgleichung', 'Schwache Singularität'] | ['mat'] | [['(classificationName=msc)*65R20', '(classificationName=loc)QA299.6-433', '(classificationName=msc)65-02', '(classificationName=bk, id=106411217)31.46 - Funktionalanalysis', 'Analysis', 'Mathematical analysis.', '(classificationName=ddc)515', 'Global analysis (Mathematics)', 'Numerical Analysis', '(classificationName=bk, id=106408194)31.76 - Numerische Mathematik', 'Mathematics', '(classificationName=rvk)SI 850', 'Numerical analysis', '(classificationName=linseach:mapping)mat', '(classificationName=msc)45E10', '(classificationName=msc)45G05', '(classificationName=bk, id=10640816X)31.45 - Partielle Differentialgleichungen']] | ['Multidimensional Weakly Singular Integral Equations'] | ['The final aim of the book is to construct effective discretization methods to solve multidimensional weakly singular integral equations of the second kind on a region of Rn e.g. equations arising in the radiation transfer theory. To this end, the smoothness of the solution is examined proposing sharp estimates of the growth of the derivatives of the solution near the boundary G. The superconvergence effect of collocation methods at the collocation points is established. This is a book for graduate students and researchers in the fields of analysis, integral equations, mathematical physics and numerical methods. No special knowledge beyond standard undergraduate courses is assumed'] | ['gnd:103337075', 'gnd:4012469-1', 'gnd:4027229-1', 'gnd:4180293-7', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655231340'] | ['Vainikko, Gennadi', 'Diskretisierung', 'Integralgleichung', 'Schwache Singularität'] | 16 | 9,879 |
3A1655233017.jsonld | ['gnd:4144932-0', 'gnd:4261008-4', 'gnd:4134834-5'] | ['Funktionenraum', 'Beste Approximation', 'Näherungsfunktion'] | ['mat'] | [['Real Functions', '(classificationName=bk, id=106411217)31.46 - Funktionalanalysis', '(classificationName=rvk)SI 850', '(classificationName=msc)41A30', 'Mathematics', '(classificationName=bk, id=10641898X)31.49 - Analysis: Sonstiges', 'Functions of real variables.', '(classificationName=ddc)515.8', '(classificationName=linseach:mapping)mat', '(classificationName=msc)*41A50', '(classificationName=loc)QA331.5', '(classificationName=msc)41-02']] | ['Spaces of Approximating Functions with Haar-like Conditions'] | ['Tchebycheff (or Haar) and weak Tchebycheff spaces play a central role when considering problems of best approximation from finite dimensional spaces. The aim of this book is to introduce Haar-like spaces, which are Haar and weak Tchebycheff spaces under special conditions. It studies topics of subclasses of Haar-like spaces, that is, classes of Tchebycheff or weak Tchebycheff spaces, spaces of vector-valued monotone increasing or convex functions and spaces of step functions. The notion of Haar-like spaces provides a general point of view which includes the theories of approximation from the above spaces. The contents are largely new. Graduate students and researchers in approximation theory will be able to read this book with only basic knowledge of analysis, functional analysis and linear algebra'] | ['gnd:4134834-5', 'gnd:4144932-0', 'gnd:4261008-4', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655233017'] | ['Funktionenraum', 'Beste Approximation', 'Näherungsfunktion'] | 16 | 9,880 |
3A1655233890.jsonld | ['gnd:4046939-6', 'gnd:4163599-1'] | ['Potenzialtheorie', 'Kern (Mathematik)'] | ['mat'] | [['(classificationName=linseach:mapping)mat', '(classificationName=ddc)510', 'Mathematics, general', '(classificationName=bk, id=106408070)31.70 - Wahrscheinlichkeitsrechnung', 'Mathematics', '(classificationName=rvk)SI 850', '(classificationName=loc)QA1-939']] | ['Order and Potential Resolvent Families of Kernels'] | ['?-lattice cones -- The potential theory of a single Kernel -- Potential theory associated with a resolvent family of Kernels -- Domination principle and Hunt’s theorem -- The energy -- Positive supermartingales as excessive elements.'] | ['gnd:4046939-6', 'gnd:4163599-1', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655233890'] | ['Potenzialtheorie', 'Kern (Mathematik)'] | 16 | 9,881 |
3A1655241540.jsonld | ['gnd:4025801-4', 'gnd:4013021-6', 'gnd:4127664-4'] | ['Drittes Reich', 'Homosexueller', 'Verfolgung'] | ['sow'] | [['(classificationName=ddc)306.766094309043', 'Geschichte 1933-1945', 'National Socialism', 'Cross-dressers', '(classificationName=bk, id=106412663)71.32 - Mann', 'Third Reich', 'National socialism and homosexuality', 'HISTORY / General', '(classificationName=ddc)306.76/620943', '(classificationName=bk, id=181569701)15.43 - Deutsche Geschichte des 19. Jahrhunderts bis zur Gegenwart', '(classificationName=ddc)943.086008664', 'National socialism', 'Gays', 'Gay men', 'Intersex people', '(classificationName=bk, id=106414607)89.21 - Faschismus', '(classificationName=linseach:mapping)sow', '(classificationName=bk, id=106416960)89.58 - Politische Gewalt', 'Lesbians', '(classificationName=loc)HQ76.2.G4 H65 2014', 'Transvestites', '(classificationName=rvk)NQ 2350', '(classificationName=loc)HQ76.2.G4', '(classificationName=rvk)NQ 2340', '(classificationName=rvk)NQ 2306', '(classificationName=linseach:mapping)his', 'homosexuality', '(classificationName=ddc)306.09']] | ['Homosexuelle im Nationalsozialismus : neue Forschungsperspektiven zu Lebenssituationen von lesbischen, schwulen, bi-, trans- und intersexuellen Menschen 1933 bis 1945'] | ['How did homosexual, bisexual, transsexual, and intersexual persons live during the Nazi era? What persecutory measures did they face? This compendium addresses these and other questions. A focus is placed on the police and justice system as well as political, administrative, and social repression.'] | ['gnd:133931374', 'gnd:4011882-4', 'gnd:4013021-6', 'gnd:4025801-4', 'gnd:4127664-4', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655241540'] | ['Schwartz, Michael', 'Deutschland', 'Drittes Reich', 'Homosexueller', 'Verfolgung'] | 25 | 9,882 |
3A1655241540.jsonld | ['gnd:4025801-4', 'gnd:4013021-6', 'gnd:4127664-4'] | ['Drittes Reich', 'Homosexueller', 'Verfolgung'] | ['his'] | [['(classificationName=ddc)306.766094309043', 'Geschichte 1933-1945', 'National Socialism', 'Cross-dressers', '(classificationName=bk, id=106412663)71.32 - Mann', 'Third Reich', 'National socialism and homosexuality', 'HISTORY / General', '(classificationName=ddc)306.76/620943', '(classificationName=bk, id=181569701)15.43 - Deutsche Geschichte des 19. Jahrhunderts bis zur Gegenwart', '(classificationName=ddc)943.086008664', 'National socialism', 'Gays', 'Gay men', 'Intersex people', '(classificationName=bk, id=106414607)89.21 - Faschismus', '(classificationName=linseach:mapping)sow', '(classificationName=bk, id=106416960)89.58 - Politische Gewalt', 'Lesbians', '(classificationName=loc)HQ76.2.G4 H65 2014', 'Transvestites', '(classificationName=rvk)NQ 2350', '(classificationName=loc)HQ76.2.G4', '(classificationName=rvk)NQ 2340', '(classificationName=rvk)NQ 2306', '(classificationName=linseach:mapping)his', 'homosexuality', '(classificationName=ddc)306.09']] | ['Homosexuelle im Nationalsozialismus : neue Forschungsperspektiven zu Lebenssituationen von lesbischen, schwulen, bi-, trans- und intersexuellen Menschen 1933 bis 1945'] | ['How did homosexual, bisexual, transsexual, and intersexual persons live during the Nazi era? What persecutory measures did they face? This compendium addresses these and other questions. A focus is placed on the police and justice system as well as political, administrative, and social repression.'] | ['gnd:133931374', 'gnd:4011882-4', 'gnd:4013021-6', 'gnd:4025801-4', 'gnd:4127664-4', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655241540'] | ['Schwartz, Michael', 'Deutschland', 'Drittes Reich', 'Homosexueller', 'Verfolgung'] | 9 | 9,883 |
3A1655261010.jsonld | ['gnd:4128509-8', 'gnd:4001161-6', 'gnd:4437000-3'] | ['Algebraische Geometrie', 'Algebraische Mannigfaltigkeit', 'Arithmetischer Quotient'] | ['mat'] | [['(classificationName=msc)*14K10', 'Mathematics', 'Topological Groups, Lie Groups', 'Lie groups.', '(classificationName=bk, id=106408119)31.51 - Algebraische Geometrie', '(classificationName=loc)QA564-609', 'Geometry, algebraic', '(classificationName=msc)14J30', 'Algebraic Geometry', 'Number Theory', 'Topological Groups', 'Algebraic geometry.', 'Number theory', '(classificationName=msc)11F55', 'Geometry, Differential.', 'Analysis', '(classificationName=linseach:mapping)mat', '(classificationName=msc)32M15', '(classificationName=rvk)SI 850', '(classificationName=ddc)516.35', '(classificationName=msc)14M17', 'Global analysis (Mathematics)', 'Differential Geometry', 'Global differential geometry', 'Mathematical analysis.', '(classificationName=msc)22E40']] | ['The Geometry of some special Arithmetic Quotients'] | ['The book discusses a series of higher-dimensional moduli spaces, of abelian varieties, cubic and K3 surfaces, which have embeddings in projective spaces as very special algebraic varieties. Many of these were known classically, but in the last chapter a new such variety, a quintic fourfold, is introduced and studied. The text will be of interest to all involved in the study of moduli spaces with symmetries, and contains in addition a wealth of material which has been only accessible in very old sources, including a detailed presentation of the solution of the equation of 27th degree for the lines on a cubic surface'] | ['gnd:1145581587', 'gnd:4001161-6', 'gnd:4128509-8', 'gnd:4437000-3', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655261010'] | ['Hunt, Bruce', 'Algebraische Geometrie', 'Algebraische Mannigfaltigkeit', 'Arithmetischer Quotient'] | 16 | 9,884 |
3A1655261851.jsonld | ['gnd:4123258-6', 'gnd:4139972-9'] | ['Gebäude (Mathematik)', 'S-arithmetische Gruppe'] | ['mat'] | [['K-theory', 'Group Theory and Generalizations', '(classificationName=msc)20J05', '(classificationName=msc)20G30', 'K-Theory', 'Group theory', '(classificationName=ddc)512.2', '(classificationName=rvk)SI 850', 'Mathematics', 'Geometry', '(classificationName=msc)20E42', '(classificationName=msc)51E24', '(classificationName=msc)*20-02', '(classificationName=loc)QA174-183', '(classificationName=msc)20F65', '(classificationName=linseach:mapping)mat', '(classificationName=bk, id=106408445)31.21 - Gruppentheorie']] | ['Twin Buildings and Applications to S-Arithmetic Groups'] | ['This book is addressed to mathematicians and advanced students interested in buildings, groups and their interplay. Its first part introduces - presupposing good knowledge of ordinary buildings - the theory of twin buildings, discusses its group-theoretic background (twin BN-pairs), investigates geometric aspects of twin buildings and applies them to determine finiteness properties of certain S-arithmetic groups. This application depends on topological properties of some subcomplexes of spherical buildings. The background of this problem, some examples and the complete solution for all "sufficiently large" classical buildings are covered in detail in the second part of the book'] | ['gnd:4123258-6', 'gnd:4139972-9', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655261851'] | ['Gebäude (Mathematik)', 'S-arithmetische Gruppe'] | 16 | 9,885 |
3A165526348X.jsonld | ['gnd:4017790-7', 'gnd:4331460-0'] | ['Folge (Mathematik)', 'Verteilung modulo 1'] | ['mat'] | [['(classificationName=ddc)515/.24', '(classificationName=rvk)SI 850', '(classificationName=msc)11K38', '(classificationName=ddc)512.7', '(classificationName=bk, id=106408186)31.41 - Reelle Analysis', 'Number theory', '(classificationName=dbn)27', '(classificationName=bk, id=106423258)31.40 - Analysis: Allgemeines', '(classificationName=ddc)510 s', '(classificationName=msc)11K45', '(classificationName=msc)65C10', '(classificationName=msc)11-02', '(classificationName=linseach:mapping)mat', '(classificationName=loc)QA241-247.5', '(classificationName=loc)QA3', '(classificationName=msc)*11K06', '(classificationName=msc)65D30', '(classificationName=loc)QA292', 'Mathematics', '(classificationName=bk, id=106408461)31.14 - Zahlentheorie']] | ['Sequences, Discrepancies and Applications'] | ['The main purpose of this book is to give an overview of the developments during the last 20 years in the theory of uniformly distributed sequences. The authors focus on various aspects such as special sequences, metric theory, geometric concepts of discrepancy, irregularities of distribution, continuous uniform distribution and uniform distribution in discrete spaces. Specific applications are presented in detail: numerical integration, spherical designs, random number generation and mathematical finance. Furthermore over 1000 references are collected and discussed. While written in the style of a research monograph, the book is readable with basic knowledge in analysis, number theory and measure theory'] | ['gnd:131835718', 'gnd:4017790-7', 'gnd:4331460-0', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A165526348X'] | ['Drmota, Michael', 'Folge (Mathematik)', 'Verteilung modulo 1'] | 16 | 9,886 |
3A1655263765.jsonld | ['gnd:4072278-8', 'gnd:4232802-0', 'gnd:4128420-3'] | ['Hamilton-Operator', 'Störungstheorie', 'Periodisches Potenzial'] | ['mat'] | [['Differential equations.', '(classificationName=bk, id=106407910)33.23 - Quantenphysik', '(classificationName=msc)35P20', '(classificationName=ddc)515.35', '(classificationName=dbn)27', '(classificationName=linseach:mapping)mat', 'Mathematical physics', '(classificationName=loc)QA370-380', '(classificationName=msc)*35-02', '(classificationName=ddc)515/.7242', 'Mathematics', '(classificationName=msc)35B20', '(classificationName=dbn)29', '(classificationName=loc)QA3', '(classificationName=msc)81Q05', '(classificationName=ddc)515.353', 'Differential equations, partial', '(classificationName=rvk)SI 850', '(classificationName=linseach:mapping)phy', '(classificationName=msc)35J10', '(classificationName=msc)81Q10', '(classificationName=msc)35P15', '(classificationName=bk, id=10640816X)31.45 - Partielle Differentialgleichungen']] | ['Perturbation Theory for the Schrödinger Operator with a Periodic Potential'] | ['The book is devoted to perturbation theory for the Schrödinger operator with a periodic potential, describing motion of a particle in bulk matter. The Bloch eigenvalues of the operator are densely situated in a high energy region, so regular perturbation theory is ineffective. The mathematical difficulties have a physical nature - a complicated picture of diffraction inside the crystal. The author develops a new mathematical approach to this problem. It provides mathematical physicists with important results for this operator and a new technique that can be effective for other problems. The semiperiodic Schrödinger operator, describing a crystal with a surface, is studied. Solid-body theory specialists can find asymptotic formulae, which are necessary for calculating many physical values'] | ['gnd:4072278-8', 'gnd:4128420-3', 'gnd:4232802-0', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655263765'] | ['Hamilton-Operator', 'Störungstheorie', 'Periodisches Potenzial'] | 16 | 9,887 |
3A1655263765.jsonld | ['gnd:4072278-8', 'gnd:4232802-0', 'gnd:4128420-3'] | ['Hamilton-Operator', 'Störungstheorie', 'Periodisches Potenzial'] | ['phy'] | [['Differential equations.', '(classificationName=bk, id=106407910)33.23 - Quantenphysik', '(classificationName=msc)35P20', '(classificationName=ddc)515.35', '(classificationName=dbn)27', '(classificationName=linseach:mapping)mat', 'Mathematical physics', '(classificationName=loc)QA370-380', '(classificationName=msc)*35-02', '(classificationName=ddc)515/.7242', 'Mathematics', '(classificationName=msc)35B20', '(classificationName=dbn)29', '(classificationName=loc)QA3', '(classificationName=msc)81Q05', '(classificationName=ddc)515.353', 'Differential equations, partial', '(classificationName=rvk)SI 850', '(classificationName=linseach:mapping)phy', '(classificationName=msc)35J10', '(classificationName=msc)81Q10', '(classificationName=msc)35P15', '(classificationName=bk, id=10640816X)31.45 - Partielle Differentialgleichungen']] | ['Perturbation Theory for the Schrödinger Operator with a Periodic Potential'] | ['The book is devoted to perturbation theory for the Schrödinger operator with a periodic potential, describing motion of a particle in bulk matter. The Bloch eigenvalues of the operator are densely situated in a high energy region, so regular perturbation theory is ineffective. The mathematical difficulties have a physical nature - a complicated picture of diffraction inside the crystal. The author develops a new mathematical approach to this problem. It provides mathematical physicists with important results for this operator and a new technique that can be effective for other problems. The semiperiodic Schrödinger operator, describing a crystal with a surface, is studied. Solid-body theory specialists can find asymptotic formulae, which are necessary for calculating many physical values'] | ['gnd:4072278-8', 'gnd:4128420-3', 'gnd:4232802-0', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655263765'] | ['Hamilton-Operator', 'Störungstheorie', 'Periodisches Potenzial'] | 22 | 9,888 |
3A1655264214.jsonld | ['gnd:4172021-0', 'gnd:4242580-3', 'gnd:4195664-3', 'gnd:4165249-6'] | ['Folgenraum', 'Norm (Mathematik)', 'Funktion', 'Hardy-Ungleichung'] | ['mat'] | [['(classificationName=msc)47B37', '(classificationName=msc)40A10', 'Mathematics', '(classificationName=msc)26-02', '(classificationName=msc)26D10', '(classificationName=dbn)27', 'Summability theory', '(classificationName=linseach:mapping)mat', '(classificationName=msc)40A05', '(classificationName=ddc)515.732', 'Operator theory', '(classificationName=bk, id=106423258)31.40 - Analysis: Allgemeines', '(classificationName=rvk)SI 850', '(classificationName=msc)40-02', '(classificationName=msc)46B45', 'Normed linear spaces', '(classificationName=loc)QA329-329.9', 'Inequalities (Mathematics)', '(classificationName=msc)*26D15', '(classificationName=ddc)515.724', 'Functions of real variables.', '(classificationName=bk, id=10641898X)31.49 - Analysis: Sonstiges']] | ['The Blocking Technique, Weighted Mean Operators and Hardy’s Inequality'] | ['This book presents the first comprehensive treatment of the blocking technique which consists in transforming norms in section form into norms in block form, and vice versa. Such norms appear throughout analysis. The blocking technique is a powerful, yet elementary, tool whose usefulnes is demonstrated in the book. In particular, it is shown to lead to the solution of three recent problems of Bennett concerning the inequalities of Hardy and Copson. The book is addressed to researchers and graduate students. An interesting feature is that it contains a dictionary of transformations between section and block norms and will thus be useful to researchers as a reference text. The book requires no knowledge beyond an introductory course in functional analysis'] | ['gnd:4165249-6', 'gnd:4172021-0', 'gnd:4195664-3', 'gnd:4242580-3', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655264214'] | ['Folgenraum', 'Norm (Mathematik)', 'Funktion', 'Hardy-Ungleichung'] | 16 | 9,889 |
3A1655264567.jsonld | ['gnd:4004402-6', 'gnd:4262911-1'] | ['Banach-Raum', 'Vektorwertige Funktion'] | ['mat'] | [['Mathematics', '(classificationName=bk, id=106411217)31.46 - Funktionalanalysis', '(classificationName=msc)46B25', '(classificationName=ddc)510 s', '(classificationName=ddc)515/.732', '(classificationName=dbn)27', 'Operator theory.', '(classificationName=loc)QA3', '(classificationName=loc)QA319-329.9', '(classificationName=rvk)SI 850', '(classificationName=linseach:mapping)mat', '(classificationName=msc)46E30', '(classificationName=msc)*46E40', '(classificationName=msc)46-02', 'Functional analysis', '(classificationName=ddc)515.7', '(classificationName=loc)QA322.2']] | ['Banach Spaces of Vector-Valued Functions'] | ['"When do the Lebesgue-Bochner function spaces contain a copy or a complemented copy of any of the classical sequence spaces?" This problem and the analogous one for vector- valued continuous function spaces have attracted quite a lot of research activity in the last twenty-five years. The aim of this monograph is to give a detailed exposition of the answers to these questions, providing a unified and self-contained treatment. It presents a great number of results, methods and techniques, which are useful for any researcher in Banach spaces and, in general, in Functional Analysis. This book is written at a graduate student level, assuming the basics in Banach space theory'] | ['gnd:4004402-6', 'gnd:4262911-1', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655264567'] | ['Banach-Raum', 'Vektorwertige Funktion'] | 16 | 9,890 |
3A1655264710.jsonld | ['gnd:4218313-3', 'gnd:4003972-9', 'gnd:4185175-4'] | ['Automorphe Form', 'Thetafunktion', 'Metaplektische Gruppe'] | ['mat'] | [['(classificationName=ddc)512.7', '(classificationName=rvk)SI 850', '(classificationName=msc)11F30', '(classificationName=dbn)27', '(classificationName=bk, id=106408461)31.14 - Zahlentheorie', '(classificationName=loc)QA241-247.5', '(classificationName=msc)11-02', '(classificationName=msc)11F60', '(classificationName=linseach:mapping)mat', 'Number theory', '(classificationName=msc)*11F55', 'Mathematics']] | ['Cubic Metaplectic Forms and Theta Functions'] | ["The book is an introduction to the theory of cubic metaplectic forms on the 3-dimensional hyperbolic space and the author's research on cubic metaplectic forms on special linear and symplectic groups of rank 2. The topics include: Kubota and Bass-Milnor-Serre homomorphisms, cubic metaplectic Eisenstein series, cubic theta functions, Whittaker functions. A special method is developed and applied to find Fourier coefficients of the Eisenstein series and cubic theta functions. The book is intended for readers, with beginning graduate-level background, interested in further research in the theory of metaplectic forms and in possible applications"] | ['gnd:4003972-9', 'gnd:4185175-4', 'gnd:4218313-3', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655264710'] | ['Automorphe Form', 'Thetafunktion', 'Metaplektische Gruppe'] | 16 | 9,891 |
3A1655265598.jsonld | ['gnd:4013396-5', 'gnd:4406251-5', 'gnd:4571165-3'] | ['Dynamisches System', 'Trajektorie (Mathematik)', 'Qualitative Theorie'] | ['mat'] | [['Differentiable dynamical systems', '(classificationName=linseach:mapping)mat', '(classificationName=loc)QA614.85', '(classificationName=ddc)510 s', 'Mathematics', 'Dynamical systems.', 'Global analysis (Mathematics).', '(classificationName=bk, id=106418947)30.20 - Nichtlineare Dynamik', '(classificationName=msc)*37C50', '(classificationName=rvk)SI 850', 'Global analysis', 'Manifolds (Mathematics).', '(classificationName=msc)37-02', '(classificationName=ddc)514.74', '(classificationName=loc)QA3', '(classificationName=ddc)515/.352', '(classificationName=loc)QA614-614.97']] | ['Shadowing in Dynamical Systems'] | ['This book is an introduction to the theory of shadowing of approximate trajectories in dynamical systems by exact ones. This is the first book completely devoted to the theory of shadowing. It shows the importance of shadowing theory for both the qualitative theory of dynamical systems and the theory of numerical methods. Shadowing Methods allow us to estimate differences between exact and approximate solutions on infinite time intervals and to understand the influence of error terms. The book is intended for specialists in dynamical systems, for researchers and graduate students in the theory of numerical methods'] | ['gnd:121192865', 'gnd:4013396-5', 'gnd:4406251-5', 'gnd:4571165-3', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655265598'] | ['Piljugin, Sergej Ju.', 'Dynamisches System', 'Trajektorie (Mathematik)', 'Qualitative Theorie'] | 16 | 9,892 |
3A1655265733.jsonld | ['gnd:4117265-6', 'gnd:4529578-5', 'gnd:4529576-1'] | ['Turbulente Strömung', 'KPZ-Gleichung', 'Burgers-Gleichung'] | ['mat'] | [['Distribution (Probability theory)', '(classificationName=msc)*60-02', '(classificationName=rvk)SI 850', '(classificationName=ddc)515.353', '(classificationName=msc)60K40', 'Differential equations, partial', '(classificationName=bk, id=106408070)31.70 - Wahrscheinlichkeitsrechnung', '(classificationName=msc)60G60', '(classificationName=msc)60H15', '(classificationName=bk, id=10640816X)31.45 - Partielle Differentialgleichungen', 'Differential equations.', '(classificationName=ddc)515.35', '(classificationName=dbn)27', '(classificationName=linseach:mapping)mat', 'Probabilities.', 'Mathematics', '(classificationName=dbn)29', '(classificationName=loc)QA370-380']] | ['Burgers-KPZ Turbulence : Göttingen Lectures'] | ["These lecture notes are woven around the subject of Burgers' turbulence/KPZ model of interface growth, a study of the nonlinear parabolic equation with random initial data. The analysis is conducted mostly in the space-time domain, with less attention paid to the frequency-domain picture. However, the bibliography contains a more complete information about other directions in the field which over the last decade enjoyed a vigorous expansion. The notes are addressed to a diverse audience, including mathematicians, statisticians, physicists, fluid dynamicists and engineers, and contain both rigorous and heuristic arguments. Because of the multidisciplinary audience, the notes also include a concise exposition of some classical topics in probability theory, such as Brownian motion, Wiener polynomial chaos, etc"] | ['gnd:120518147', 'gnd:4117265-6', 'gnd:4529576-1', 'gnd:4529578-5', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655265733'] | ['Woyczyński, Wojbor A.', 'Turbulente Strömung', 'KPZ-Gleichung', 'Burgers-Gleichung'] | 16 | 9,893 |
3A1655265881.jsonld | ['gnd:4187472-9', 'gnd:4129366-6'] | ['Operatoralgebra', 'Vektorwertiges Maß'] | ['mat'] | [['(classificationName=loc)QA323', '(classificationName=loc)QA329-329.9', '(classificationName=msc)*47B40', '(classificationName=rvk)SI 850', '(classificationName=msc)47-02', '(classificationName=linseach:mapping)mat', '(classificationName=loc)QA3', '(classificationName=msc)06E15', '(classificationName=ddc)510 s', '(classificationName=dbn)27', '(classificationName=bk, id=181569965)31.47 - Operatortheorie', '(classificationName=msc)47L10', '(classificationName=ddc)515.724', '(classificationName=ddc)512/.55', 'Mathematics', '(classificationName=msc)28B05', 'Operator theory']] | ['Operator Algebras Generated by Commuting Projections: A Vector Measure Approach'] | ['This book presents a systematic investigation of the theory of those commutative, unital subalgebras (of bounded linear operators acting in a Banach space) which are closed for some given topology and are generated by a uniformly bounded Boolean algebra of projections. One of the main aims is to employ the methods of vector measures and integration as a unifying theme throughout. This yields proofs of several classical results which are quite different to the classical ones. This book is directed to both those wishing to learn this topic for the first time and to current experts in the field'] | ['gnd:4129366-6', 'gnd:4187472-9', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655265881'] | ['Operatoralgebra', 'Vektorwertiges Maß'] | 16 | 9,894 |
3A165527211X.jsonld | [] | [] | ['mat'] | [['(classificationName=linseach:mapping)mat', '(classificationName=loc)QA274-274.9', 'Probabilities.', '(classificationName=loc)QA273.A1-274.9', 'Mathematics', 'Distribution (Probability theory)', '(classificationName=rvk)SI 850', '(classificationName=ddc)519.2', 'Probability Theory and Stochastic Processes']] | ['Multiple Wiener-Itô Integrals : With Applications to Limit Theorems'] | ['On a limit problem -- Wick polynomials -- Random spectral measures -- Multiple Wiener-Itô integrals -- The proof of Itô’s formula. The diagram formula and some of its consequences -- Subordinated fields, construction of self-similar fields -- On the original Wiener-Itô integral -- Non-central limit theorems -- History of the problems. Comments.'] | ['gnd:4189868-0', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A165527211X'] | ['Wiener-Itô-Integral'] | 16 | 9,895 |
3A1655272659.jsonld | [] | [] | ['oek'] | [['Wissensgesellschaft', 'Wissensmanagement', '(classificationName=linseach:mapping)oek', 'Economic aspects', 'Knowledge economy', 'Technological innovations', '(classificationName=loc)HC79.T4', 'Wissenschaft', '(classificationName=ddc)338.064', 'Technischer Fortschritt', 'Information theory in economics', 'Innovation', '(classificationName=loc)HC79.I55', 'Science and industry', 'Informationsökonomik', '(classificationName=rvk)QR 700', 'Electronic books']] | ['Recent developments in the economics of information'] | [['This volume presents a compilation of key papers chronicling the evolution of the economics of information into the economics of knowledge. It traces the unfolding of the fertile ambiguity and ambivalence of the notion of information with the identification and eventual separation of its two basic, quite distinct meanings: knowledge and signals. It documents the progressive understanding that it is not only necessary to search, screen and understand signals, but also to assess and select them so as to distinguish between true, false and fake ones. The capability to process signals and transform them into actual information stems from the stock of competence and knowledge that individuals and organizations possess and mobilize. The success of information economics paves the way to the economics of knowledge and this review will be an indispensable research tool for all those working and studying in the field', "19. Joseph E. Stiglitz (2000), 'The Contributions of the Economics of Information to Twentieth Century Economics', Quarterly Journal of Economics, 115 (4), November, 1441-78 -- 20. Kenneth J. Arrow (1969), 'Classificatory Notes on the Production and Transmission of Technological Knowledge', American Economic Review: Papers and Proceedings, 59 (2), May, 29-35 -- 21. Larry Samuelson (2004), 'Modeling Knowledge in Economic Analysis', Journal of Economic Literature, XLII (2), June, 367-403 -- 22. Bo Carlsson and Gunnar Eliasson (1994), 'The Nature and Importance of Economic Competence', Industrial and Corporate Change, 3 (3), 687-711 -- 23. Patrick Bolton and Mathias Dewatripont (1994), 'The Firm as a Communication Network', Quarterly Journal of Economics, CIX (4), November, 809-39 -- 24. Luis Garicano (2000), 'Hierarchies and the Organization of Knowledge in Production', Journal of Political Economy, 108 (5), October, 874-904 -- 25. Alice Lam (2000), 'Tacit Knowledge, Organizational Learning and Societal Institutions: An Integrated Framework', Organization Studies, 21 (3), May, 487-513 -- 26. Luis Garicano and Yanhui Wu (2012), 'Knowledge, Communication, and Organizational Capabilities', Organization Science, 23 (5), September-October, 1382-97 -- 27. Robin Cowan and Nicolas Jonard (2004), 'Network Structure and the Diffusion of Knowledge', Journal of Economic Dynamics and Control, 28 (8), June, 1557-75 -- 28. Richard Blundell and Thomas M. Stoker (2005), 'Heterogeneity and Aggregation', Journal of Economic Literature, XLIII (2), June, 347-91 -- 29. Simon Loertscher, Leslie M. Marx and Tom Wilkening (2015), 'A Long Way Coming: Designing Centralized Markets with Privately Informed Buyers and Sellers', Journal of Economic Literature, 53 (4), December, 857-97 -- 30. Simone Landini, Mauro Gallegati and Joseph E. Stiglitz (2015), 'Economies with Heterogeneous Interacting Learning Agents', Journal of Economic Interaction and Coordination: Special Issue in Honor of Masanao Aoki, 10 (1), April, 91-118 -- 31. Alan Kirman (1997), 'The Economy as an Evolving Network', Journal of Evolutionary Economics, 7 (4), December, 339-53 -- 32. Alan Kirman (2011), 'Learning in Agent-based Models', Eastern Economic Journal: Symposium on Agent-based Computational Economics, 37 (1), Winter, 20-27 -- 33. David Colander, Peter Howitt, Alan Kirman, Axel Leijonhufvud and Perry Mehrling (2008), 'Beyond DSGE Models: Toward an Empirically Based Macroeconomics', American Economic Review: Papers and Proceedings, 98 (2), May, 236-40", "Recommended readings (Machine generated): 1.MichaelSpence(2002),'SignalinginRetrospectandtheInformationalStructureofMarkets',AmericanEconomicReview,92(3),June,434-59 -- 2. George A. Akerlof (2002), 'Behavioral Macroeconomics and Macroeconomic Behavior', American Economic Review, 92 (3), June, 411-33 -- 3. Joseph E. Stiglitz (2002), 'Information and the Change in the Paradigm in Economics', American Economic Review, 92 (3), June, 460-501 -- 4. John G. Riley (2001), 'Silver Signals: Twenty-Five Years of Screening and Signaling', Journal of Economic Literature, XXXIX (2), June, 432-78 -- 5. Kenneth J. Arrow (1996), 'The Economics of Information: An Exposition', Empirica, 23 (2), June, 119-28 -- 6. W. Bentley MacLeod (2007), 'Reputations, Relationships, and Contract Enforcement', Journal of Economic Literature, XLV (3), September, 595-628 -- 7. Bengt Holmström (1999), 'Managerial Incentive Problems: A Dynamic Perspective', Review of Economic Studies, Special Issue: Contracts, 66 (1), January, 169-82 -- 8. Jeffrey C. Ely and Juuso Välimäki (2003), 'Bad Reputation', Quarterly Journal of Economics, CXVIII (3), August, 785-814 -- 9. Johannes Hörner (2002), 'Reputation and Competition', American Economic Review, 92 (3), June, 644-63 -- 10. Mathias Dewatripont and Jean Tirole (2005), 'Modes of Communication', Journal of Political Economy, 113 (6), December, 1217-38 -- 11. Richard Rogerson, Robert Shimer and Randall Wright (2005), 'Search-Theoretic Models of the Labor Market: A Survey', Journal of Economic Literature, XLIII (4), December, 959-88 -- 12. Dean Karlan, Markus Mobius, Tanya Rosenblat and Adam Szeidl (2009), 'Trust and Social Collateral', Quarterly Journal of Economics, 124 (3), August, 1307-61 -- 13. Abhijit V. Banerjee (1992), 'A Simple Model of Herd Behavior', Quarterly Journal of Economics, CVII (3), August, 797-817 -- 14. Yannis M. Ioannides and Linda Datcher Loury (2004), 'Job Information Networks, Neighborhood Effects, and Inequality', Journal of Economic Literature, XLII (4), December, 1056-93 -- 15. Matthew O. Jackson (2014), 'Networks in the Understanding of Economic Behaviors', Journal of Economic Perspectives, 28 (4), Fall, 3-22 -- 16. H. Peyton Young (2009), 'Innovation Diffusion in Heterogeneous Populations: Contagion, Social Influence, and Social Learning', American Economic Review, 99 (5), December, 1899-924 -- 17. Sushil Bikhchandani, David Hirshleifer and Ivo Welch (1992), 'A Theory of Fads, Fashion, Custom, and Cultural Change as Informational Cascades', Journal of Political Economy, 100 (5), October, 992-1026 -- 18. Roland Benabou and Guy Laroque (1992), 'Using Privileged Information to Manipulate Markets: Insiders, Gurus, and Credibility', Quarterly Journal of Economics, CVII (3), August, 921-58"]] | ['gnd:133684814', 'gnd:4161671-6', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655272659'] | ['Antonelli, Cristiano', 'Informationsökonomie'] | 19 | 9,896 |
3A1655276816.jsonld | ['gnd:4190746-2', 'gnd:4048395-2', 'gnd:4149772-7', 'gnd:4135967-7'] | ['Randwertproblem', 'Hodge-Theorie', 'Differentialform', 'Zerlegung (Mathematik)'] | ['mat'] | [['(classificationName=msc)31B20', '(classificationName=bk, id=106423258)31.40 - Analysis: Allgemeines', '(classificationName=msc)35J40', '(classificationName=rvk)SI 850', 'Manifolds (Mathematics).', '(classificationName=linseach:mapping)mat', '(classificationName=bk, id=106408194)31.76 - Numerische Mathematik', '(classificationName=ddc)515.96', '(classificationName=msc)58J32', 'Cell aggregation', 'Manifolds and Cell Complexes (incl. Diff.Topology)', 'Potential theory (Mathematics)', 'Mathematics', '(classificationName=msc)*58-02', '(classificationName=loc)QA404.7-405', '(classificationName=msc)58A14', '(classificationName=msc)35F15', 'Potential Theory']] | ['Hodge Decomposition—A Method for Solving Boundary Value Problems'] | ['Hodge theory is a standard tool in characterizing differ- ential complexes and the topology of manifolds. This book is a study of the Hodge-Kodaira and related decompositions on manifolds with boundary under mainly analytic aspects. It aims at developing a method for solving boundary value problems. Analysing a Dirichlet form on the exterior algebra bundle allows to give a refined version of the classical decomposition results of Morrey. A projection technique leads to existence and regularity theorems for a wide class of boundary value problems for differential forms and vector fields. The book links aspects of the geometry of manifolds with the theory of partial differential equations. It is intended to be comprehensible for graduate students and mathematicians working in either of these fields'] | ['gnd:1175996262', 'gnd:4048395-2', 'gnd:4135967-7', 'gnd:4149772-7', 'gnd:4190746-2', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655276816'] | ['Schwarz, Günter', 'Randwertproblem', 'Hodge-Theorie', 'Differentialform', 'Zerlegung (Mathematik)'] | 16 | 9,897 |
3A1655280074.jsonld | ['gnd:4149767-3', 'gnd:4193468-4', 'gnd:4030157-6', 'gnd:4077459-4'] | ['Keim (Mathematik)', 'Singularität (Mathematik)', 'Diffeomorphismus', 'Auflösung'] | ['mat'] | [['(classificationName=ddc)514', '(classificationName=loc)QA611-614.97', '(classificationName=rvk)SI 850', 'Topology', 'Mathematics', '(classificationName=linseach:mapping)mat']] | ['Germs of Diffeomorphisms in the Plane'] | ['Summary, some motivation and acknowledgments -- Introduction, definitions, formal study and statement of the results -- Stability of type I-and type II-singularities -- Stability of type III-singularities -- Proof of the C? results -- Proof of the topological results.'] | ['gnd:4030157-6', 'gnd:4077459-4', 'gnd:4149767-3', 'gnd:4193468-4', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655280074'] | ['Keim (Mathematik)', 'Singularität (Mathematik)', 'Diffeomorphismus', 'Auflösung'] | 16 | 9,898 |
3A1655287796.jsonld | ['gnd:4130529-2', 'gnd:4173060-4'] | ['Operator', 'Padé-Näherung'] | ['mat'] | [['(classificationName=linseach:mapping)mat', 'Mathematics', '(classificationName=rvk)SI 850', '(classificationName=ddc)518', 'Numerical analysis', '(classificationName=loc)QA297-299.4', 'Numerical Analysis', 'Operator theory.']] | ['Padé Approximants for Operators: Theory and Applications'] | ['Abstract pade approximants in operator theory -- Multivariate pade approximants -- The solution of nonlinear operator equations.'] | ['gnd:4130529-2', 'gnd:4173060-4', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655287796'] | ['Operator', 'Padé-Näherung'] | 16 | 9,899 |
3A1655292617.jsonld | ['gnd:4134656-7', 'gnd:4136693-1'] | ['Derivation (Algebra)', 'C-Stern-Algebra'] | ['mat'] | [['Global analysis (Mathematics)', 'Mathematical analysis.', '(classificationName=linseach:mapping)mat', 'Analysis', '(classificationName=loc)QA299.6-433', 'Mathematics', 'Lie groups.', 'Topological Groups', '(classificationName=rvk)SI 850', 'Topological Groups, Lie Groups', '(classificationName=ddc)515']] | ['Derivations, Dissipations and Group Actions on C*-algebras'] | ['with historical remarks -- General theory of derivations -- Noncommutative vectorfields -- Dissipations -- Additional remarks.'] | ['gnd:4134656-7', 'gnd:4136693-1', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655292617'] | ['Derivation (Algebra)', 'C-Stern-Algebra'] | 16 | 9,900 |
3A1655301888.jsonld | [] | [] | ['mat'] | [['(classificationName=loc)QA1-939', '(classificationName=bk, id=10640847X)31.10 - Mathematische Logik, Mengenlehre', '(classificationName=ddc)510', '(classificationName=linseach:mapping)mat', '(classificationName=rvk)SI 850', 'Mathematics', 'Mathematics, general']] | ['Higher Set Theory : Proceedings, Oberwolfach, Germany, April 13–23, 1977'] | ['Wellordered subclasses of proper classes -- A proof of foundation from axioms of cumulation -- Categoricity with respect to ordinals -- Classically and intuitionistically provably recursive functions -- Hierarchies of sets definably by means of infinitary languages -- Some results on degrees of constructibility -- Constructive universes I -- The evolution of large cardinal axioms in set theory -- Forcing in analysis -- Recursivity and compactness -- Fine structure theory of the constructible universe in ?- and ?-recursion theory -- On a class of models of the n-th order arithmetic -- O# and the p-point problem -- A combinatorial characterization of inaccessible cardinals -- Singular cardinals and analytic games -- Regressive functions and stationary sets -- Cardinals in the inner model HOD -- Partitions of the real line into X 1 closed sets -- Gödel numbers of product spaces -- A note on increasing sequences of constructibility degrees.'] | ['gnd:1055806601', 'gnd:1090819455', 'gnd:4074715-3', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655301888'] | ['Müller, Gert H.', 'Scott, Dana S.', 'Mengenlehre'] | 16 | 9,901 |
3A1655304216.jsonld | ['gnd:4057630-9', 'gnd:4197507-8', 'gnd:4042805-9'] | ['Numerische Mathematik', 'Stochastischer Prozess', 'Average-case-Komplexität'] | ['mat'] | [['(classificationName=dbn)27', '(classificationName=rvk)SI 850', '(classificationName=rvk)SK 900', '(classificationName=msc)*65Y20', '(classificationName=loc)QA297-299.4', '(classificationName=linseach:mapping)mat', '(classificationName=msc)65K10', '(classificationName=msc)65Dxx', '(classificationName=bk, id=10641898X)31.49 - Analysis: Sonstiges', '(classificationName=ddc)518', '(classificationName=msc)65H05', '(classificationName=bk, id=106408070)31.70 - Wahrscheinlichkeitsrechnung', 'Mathematics', 'Numerical analysis', '(classificationName=ddc)519.4', '(classificationName=loc)QA3.L28 no. 1733', '(classificationName=bk, id=106408194)31.76 - Numerische Mathematik', '(classificationName=rvk)SK 910', 'Statistics', '(classificationName=ddc)510 s', '(classificationName=msc)65C20', '(classificationName=msc)65-02', '(classificationName=loc)QA297', '(classificationName=dbn)28']] | ['Average-Case Analysis of Numerical Problems'] | ['The average-case analysis of numerical problems is the counterpart of the more traditional worst-case approach. The analysis of average error and cost leads to new insight on numerical problems as well as to new algorithms. The book provides a survey of results that were mainly obtained during the last 10 years and also contains new results. The problems under consideration include approximation/optimal recovery and numerical integration of univariate and multivariate functions as well as zero-finding and global optimization. Background material, e.g. on reproducing kernel Hilbert spaces and random fields, is provided'] | ['gnd:4042805-9', 'gnd:4057630-9', 'gnd:4197507-8', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655304216'] | ['Numerische Mathematik', 'Stochastischer Prozess', 'Average-case-Komplexität'] | 16 | 9,902 |
3A1655306553.jsonld | ['gnd:4033335-8', 'gnd:4141839-6'] | ['K-Theorie', 'Algebraische K-Theorie'] | ['mat'] | [['(classificationName=linseach:mapping)mat', '(classificationName=bk, id=106408437)31.27 - Kategorientheorie', '(classificationName=ddc)510', 'Algebra.', '(classificationName=loc)QA1-939', '(classificationName=ddc)512', 'Mathematics', '(classificationName=rvk)SI 850']] | ['Algebraic K-theory'] | ['From the Introduction: "These notes are taken from a course on algebraic K-theory [given] at the University of Chicago in 1967. They also include some material from an earlier course on abelian categories, elaborating certain parts of Gabriel\'s thesis. The results on K-theory are mostly of a very general nature'] | ['gnd:4033335-8', 'gnd:4141839-6', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655306553'] | ['K-Theorie', 'Algebraische K-Theorie'] | 16 | 9,903 |
3A1655332996.jsonld | ['gnd:4015332-0', 'gnd:4014988-2', 'gnd:4069491-4', 'gnd:4060095-6', 'gnd:4316357-9'] | ['Enzym', 'Ernährung', 'Tierernährung', 'Biotechnologie', 'Mikrobiologie'] | ['hor'] | [['Probiotics', 'Electronic books', '(classificationName=linseach:mapping)hor', '(classificationName=linseach:mapping)che', '(classificationName=ddc)572/.7', '(classificationName=rvk)WX 1050', '(classificationName=linseach:mapping)meda', 'Gastrointestinal Tract', 'Animal Nutritional Physiological Phenomena', 'Animal nutrition', 'Enzymes', '(classificationName=rvk)ZD 21100', '(classificationName=rvk)VK 8700', '(classificationName=ddc)572.7', 'Enzymes in animal nutrition', '(classificationName=loc)QP601', 'SCIENCE ; Life Sciences ; Biochemistry']] | ['Enzymes in human and animal nutrition : principles and perspectives'] | ['Enzymes in Human and Animal Nutrition is a detailed reference on enzymes covering detailed information on all relevant aspects fundamental for final use of enzymes in human and animal nutrition. Topics explored include selection, engineering and expression of microbial enzymes, effects of probiotics on enzymes in the digestive tract, potential new sources of enzymes, valorization of plant biomass by food and feed enzymes. Economics and intellectual property issues are also examined'] | ['gnd:4014988-2', 'gnd:4015332-0', 'gnd:4060095-6', 'gnd:4069491-4', 'gnd:4316357-9', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655332996'] | ['Enzym', 'Ernährung', 'Tierernährung', 'Biotechnologie', 'Mikrobiologie'] | 10 | 9,904 |
3A1655332996.jsonld | ['gnd:4015332-0', 'gnd:4014988-2', 'gnd:4069491-4', 'gnd:4060095-6', 'gnd:4316357-9'] | ['Enzym', 'Ernährung', 'Tierernährung', 'Biotechnologie', 'Mikrobiologie'] | ['che'] | [['Probiotics', 'Electronic books', '(classificationName=linseach:mapping)hor', '(classificationName=linseach:mapping)che', '(classificationName=ddc)572/.7', '(classificationName=rvk)WX 1050', '(classificationName=linseach:mapping)meda', 'Gastrointestinal Tract', 'Animal Nutritional Physiological Phenomena', 'Animal nutrition', 'Enzymes', '(classificationName=rvk)ZD 21100', '(classificationName=rvk)VK 8700', '(classificationName=ddc)572.7', 'Enzymes in animal nutrition', '(classificationName=loc)QP601', 'SCIENCE ; Life Sciences ; Biochemistry']] | ['Enzymes in human and animal nutrition : principles and perspectives'] | ['Enzymes in Human and Animal Nutrition is a detailed reference on enzymes covering detailed information on all relevant aspects fundamental for final use of enzymes in human and animal nutrition. Topics explored include selection, engineering and expression of microbial enzymes, effects of probiotics on enzymes in the digestive tract, potential new sources of enzymes, valorization of plant biomass by food and feed enzymes. Economics and intellectual property issues are also examined'] | ['gnd:4014988-2', 'gnd:4015332-0', 'gnd:4060095-6', 'gnd:4069491-4', 'gnd:4316357-9', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655332996'] | ['Enzym', 'Ernährung', 'Tierernährung', 'Biotechnologie', 'Mikrobiologie'] | 5 | 9,905 |
3A1655332996.jsonld | ['gnd:4015332-0', 'gnd:4014988-2', 'gnd:4069491-4', 'gnd:4060095-6', 'gnd:4316357-9'] | ['Enzym', 'Ernährung', 'Tierernährung', 'Biotechnologie', 'Mikrobiologie'] | ['meda'] | [['Probiotics', 'Electronic books', '(classificationName=linseach:mapping)hor', '(classificationName=linseach:mapping)che', '(classificationName=ddc)572/.7', '(classificationName=rvk)WX 1050', '(classificationName=linseach:mapping)meda', 'Gastrointestinal Tract', 'Animal Nutritional Physiological Phenomena', 'Animal nutrition', 'Enzymes', '(classificationName=rvk)ZD 21100', '(classificationName=rvk)VK 8700', '(classificationName=ddc)572.7', 'Enzymes in animal nutrition', '(classificationName=loc)QP601', 'SCIENCE ; Life Sciences ; Biochemistry']] | ['Enzymes in human and animal nutrition : principles and perspectives'] | ['Enzymes in Human and Animal Nutrition is a detailed reference on enzymes covering detailed information on all relevant aspects fundamental for final use of enzymes in human and animal nutrition. Topics explored include selection, engineering and expression of microbial enzymes, effects of probiotics on enzymes in the digestive tract, potential new sources of enzymes, valorization of plant biomass by food and feed enzymes. Economics and intellectual property issues are also examined'] | ['gnd:4014988-2', 'gnd:4015332-0', 'gnd:4060095-6', 'gnd:4069491-4', 'gnd:4316357-9', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655332996'] | ['Enzym', 'Ernährung', 'Tierernährung', 'Biotechnologie', 'Mikrobiologie'] | 18 | 9,906 |
3A1655352938.jsonld | [] | [] | ['oek'] | [['(classificationName=rvk)QH 233', '(classificationName=ddc)650', 'Economics', '(classificationName=loc)HD30.23', 'Artificial intelligence', 'Decision making.', 'Mathematical logic.', 'Logic, Symbolic and mathematical', 'Economics/Management Science', '(classificationName=ddc)658.403', 'Management science.', 'Operations research', '(classificationName=ddc)658.40301', '(classificationName=linseach:mapping)oek']] | ['Multi-criteria Decision Making Methods: A Comparative Study'] | ["Multi-Criteria Decision Making (MCDM) has been one of the fastest growing problem areas in many disciplines. The central problem is how to evaluate a set of alternatives in terms of a number of criteria. Although this problem is very relevant in practice, there are few methods available and their quality is hard to determine. Thus, the question `Which is the best method for a given problem?' has become one of the most important and challenging ones. This is exactly what this book has as its focus and why it is important. The author extensively compares, both theoretically and empirically, real-life MCDM issues and makes the reader aware of quite a number of surprising `abnormalities' with some of these methods. What makes this book so valuable and different is that even though the analyses are rigorous, the results can be understood even by the non-specialist. Audience: Researchers, practitioners, and students; it can be used as a textbook for senior undergraduate or graduate courses in business and engineering"] | ['gnd:4126083-1', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655352938'] | ['Multikriteria-Entscheidung'] | 19 | 9,907 |
3A1655355783.jsonld | ['gnd:4128130-5', 'gnd:4044779-0'] | ['Partielle Differentialgleichung', 'Numerisches Verfahren'] | ['mat'] | [['(classificationName=msc)*35-02', '(classificationName=ddc)510', '(classificationName=loc)QA1-939', 'Analysis (Mathematics).', '(classificationName=linseach:mapping)mat', '(classificationName=msc)35G10', '(classificationName=msc)65Mxx', 'Mathematical analysis.', '(classificationName=bk, id=10640816X)31.45 - Partielle Differentialgleichungen', '(classificationName=rvk)SK 920', '(classificationName=msc)35E15', '(classificationName=bk, id=106408194)31.76 - Numerische Mathematik', '(classificationName=ddc)515', 'Mathematics', '(classificationName=msc)35B35']] | ['Time-dependent Partial Differential Equations and Their Numerical Solution'] | ['In these notes we study time-dependent partial differential equations and their numerical solution. The analytic and the numerical theory are developed in parallel. For example, we discuss well-posed linear and nonlinear problems, linear and nonlinear stability of difference approximations and error estimates. Special emphasis is given to boundary conditions and their discretization. We develop a rather general theory of admissible boundary conditions based on energy estimates or Laplace transform techniques. These results are fundamental for the mathematical and numerical treatment of large classes of applications like Newtonian and non-Newtonian flows, two-phase flows and geophysical problems'] | ['gnd:122643615', 'gnd:4044779-0', 'gnd:4128130-5', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655355783'] | ['Kreiss, Heinz-Otto', 'Partielle Differentialgleichung', 'Numerisches Verfahren'] | 16 | 9,908 |
3A1655356402.jsonld | ['gnd:4128509-8', 'gnd:4141714-8', 'gnd:4627078-4'] | ['Algebraische Mannigfaltigkeit', 'Homologietheorie', 'Torsion (Mathematik)'] | ['mat'] | [['(classificationName=bk, id=106407716)31.61 - Algebraische Topologie', '(classificationName=rvk)SK 300', '(classificationName=loc)QA1-939', '(classificationName=msc)57R57', '(classificationName=bk, id=106407708)31.65 - Mannigfaltigkeiten, Zellkomplexe', '(classificationName=msc)57Q10', '(classificationName=msc)57M27', '(classificationName=msc)*57-02', '(classificationName=msc)19J10', '(classificationName=ddc)516', '(classificationName=ddc)510', '(classificationName=linseach:mapping)mat', '(classificationName=msc)57M25', 'Geometry.', 'Mathematics']] | ['Introduction to Combinatorial Torsions'] | ['This book is an introduction to combinatorial torsions of cellular spaces and manifolds with special emphasis on torsions of 3-dimensional manifolds. The first two chapters cover algebraic foundations of the theory of torsions and various topological constructions of torsions due to K. Reidemeister, J.H.C. Whitehead, J. Milnor and the author. We also discuss connections between the torsions and the Alexander polynomials of links and 3-manifolds. The third (and last) chapter of the book deals with so-called refined torsions and the related additional structures on manifolds, specifically homological orientations and Euler structures. As an application, we give a construction of the multivariable Conway polynomial of links in homology 3-spheres. At the end of the book, we briefly describe the recent results of G. Meng, C.H. Taubes and the author on the connections between the refined torsions and the Seiberg-Witten invariant of 3-manifolds. The exposition is aimed at students, professional mathematicians and physicists interested in combinatorial aspects of topology and/or in low dimensional topology. The necessary background for the reader includes the elementary basics of topology and homological algebra'] | ['gnd:122717791', 'gnd:4128509-8', 'gnd:4141714-8', 'gnd:4627078-4', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655356402'] | ['Turaev, Vladimir G.', 'Algebraische Mannigfaltigkeit', 'Homologietheorie', 'Torsion (Mathematik)'] | 16 | 9,909 |
3A1655359045.jsonld | ['gnd:4163599-1', 'gnd:4150118-4'] | ['Dirac-Operator', 'Kern (Mathematik)'] | ['mat'] | [['Mathematical analysis.', '(classificationName=ddc)515', '(classificationName=bk, id=181569965)31.47 - Operatortheorie', 'Mathematics', '(classificationName=bk, id=106407708)31.65 - Mannigfaltigkeiten, Zellkomplexe', '(classificationName=bk, id=10640816X)31.45 - Partielle Differentialgleichungen', '(classificationName=rvk)SK 540', '(classificationName=loc)QA299.6-433', '(classificationName=rvk)SK 350', '(classificationName=rvk)SK 620', 'Global analysis (Mathematics)', '(classificationName=linseach:mapping)mat']] | ['The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator'] | [['1 Introduction -- 1.1 The Holomorphic Lefschetz Fixed Point Formula -- 1.2 The Heat Kernel -- 1.3 The Results -- 2 The Dolbeault-Dirac Operator -- 2.1 The Dolbeault Complex -- 2.2 The Dolbeault-Dirac Operator -- 3 Clifford Modules -- 3.1 The Non-Kähler Case -- 3.2 The Clifford Algebra -- 3.3 The Supertrace -- 3.4 The Clifford Bundle -- 4 The Spin Group and the Spin-c Group -- 4.1 The Spin Group -- 4.2 The Spin-c Group -- 4.3 Proof of a Formula for the Supertrace -- 5 The Spin-c Dirac Operator -- 5.1 The Spin-c Frame Bundle and Connections -- 5.2 Definition of the Spin-c Dirac Operator -- 6 Its Square -- 6.1 Its Square -- 6.2 Dirac Operators on Spinor Bundles -- 6.3 The Kähler Case -- 7 The Heat Kernel Method -- 7.1 Traces -- 7.2 The Heat Diffusion Operator -- 8 The Heat Kernel Expansion -- 8.1 The Laplace Operator -- 8.2 Construction of the Heat Kernel -- 8.3 The Square of the Geodesic Distance -- 8.4 The Expansion -- 9 The Heat Kernel on a Principal Bundle -- 9.1 Introduction -- 9.2 The Laplace Operator on P -- 9.3 The Zero Order Term -- 9.4 The Heat Kernel -- 9.5 The Expansion -- 10 The Automorphism -- 10.1 Assumptions -- 10.2 An Estimate for Geodesies in P -- 10.3 The Expansion -- 11 The Hirzebruch-Riemann-Roch Integrand -- 11.1 Introduction -- 11.2 Computations in the Exterior Algebra -- 11.3 The Short Time Limit of the Supertrace -- 12 The Local Lefschetz Fixed Point Formula -- 12.1 The Element g0 of the Structure Group -- 12.2 The Short Time Limit -- 12.3 The Kähler Case -- 13 Characteristic Classes -- 13.1 Weil’s Homomorphism -- 13.2 The Chern Matrix and the Riemann-Roch Formula -- 13.3 The Lefschetz Formula -- 13.4 A Simple Example -- 14 The Orbifold Version -- 14.1 Orbifolds -- 14.2 The Virtual Character -- 14.3 The Heat Kernel Method -- 14.4 The Fixed Point Orbifolds -- 14.5 The Normal Eigenbundles -- 14.6 The Lefschetz Formula -- 15 Application to Symplectic Geometry -- 15.1 Symplectic Manifolds -- 15.2 Hamiltonian Group Actions and Reduction -- 15.3 The Complex Line Bundle -- 15.4 Lifting the Action -- 15.5 The Spin-c Dirac Operator -- 16 Appendix: Equivariant Forms -- 16.1 Equivariant Cohomology -- 16.2 Existence of a Connection Form -- 16.3 Henri Cartan’s Theorem -- 16.4 Proof of Weil’s Theorem -- 16.5 General Actions.', 'When visiting M.I.T. for two weeks in October 1994, Victor Guillemin made me enthusiastic about a problem in symplectic geometry which involved the use of the so-called spin-c Dirac operator. Back in Berkeley, where I had l spent a sabbatical semester , I tried to understand the basic facts about this operator: its definition, the main theorems about it, and their proofs. This book is an outgrowth of the notes in which I worked this out. For me this was a great learning experience because of the many beautiful mathematical structures which are involved. I thank the Editorial Board of Birkhauser, especially Haim Brezis, for sug\xad gesting the publication of these notes as a book. I am also very grateful for the suggestions by the referees, which have led to substantial improvements in the presentation. Finally I would like to express special thanks to Ann Kostant for her help and her prodding me, in her charming way, into the right direction. J.J. Duistermaat Utrecht, October 16, 1995.']] | ['gnd:4150118-4', 'gnd:4163599-1', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655359045'] | ['Dirac-Operator', 'Kern (Mathematik)'] | 16 | 9,910 |
3A1655367277.jsonld | ['gnd:4129061-6', 'gnd:4112491-1'] | ['Allgemeine Relativitätstheorie', 'Evolutionsgleichung'] | ['phy'] | [['(classificationName=msc)83C40', 'Partial differential equations.', '(classificationName=ddc)519', '(classificationName=linseach:mapping)phy', 'Geometry, Differential.', 'Gravitation.', '(classificationName=bk, id=106407937)33.06 - Mathematische Methoden der Physik', 'Applied mathematics.', 'Physics.', 'Mathematical physics', 'Differential equations, partial', '(classificationName=rvk)UH 8300', 'Engineering mathematics.', '(classificationName=rvk)SK 370', '(classificationName=bk, id=106407899)33.21 - Relativität, Gravitation', 'Differential equations.', '(classificationName=msc)83C05', 'Differential geometry.', '(classificationName=ddc)530.1', '(classificationName=msc)*83-02', 'Mathematics', 'Global differential geometry', 'Functional analysis.', '(classificationName=linseach:mapping)mat', '(classificationName=loc)T57-57.97']] | ['The Evolution Problem in General Relativity'] | [['1 Introduction -- 1.1 Generalities about Lorentz manifolds -- 1.2 The Einstein equations -- 1.3 Local existence for Einstein’s vacuum equations -- 1.4 Appendix -- 2 Analytic Methods in the Study of the Initial Value Problem -- 2.1 Local and global existence for systems of nonlinear wave equations -- 2.2 Weyl fields and Bianchi equations in Minkowski spacetime -- 2.3 Global nonlinear stability of Minkowski spacetime -- 2.4 Structure of the work -- 3 Definitions and Results -- 3.1 Connection coefficients -- 3.2 Bianchi equations in an Einstein vacuum spacetime -- 3.3 Canonical double null foliation of the spacetime -- 3.4 Deformation tensors -- 3.5 The definitions of the fundamental norms -- 3.6 The initial data -- 3.7 The Main Theorem -- 4 Estimates for the Connection Coefficients -- 4.1 Preliminary results -- 4.2 Proof of Theorem Ml -- 4.3 Proof of Theorem 4.2.1 and estimates for the zero and first derivatives of the connection coefficents -- 4.4 Proof of Theorem 4.2.2 and estimates for the second derivatives of the connection coefficients -- 4.5 Proof of Theorem 4.2.3 and control of third derivatives of the connection coefficients -- 4.6 Rotation tensor estimates -- 4.7 Proof of Theorem M2 and estimates for the D norms of the rotation deformation tensors -- 4.8 Appendix -- 5 Estimates for the Riemann Curvature Tensor -- 5.1 Preliminary tools -- 5.2 Appendix -- 6 The Error Estimates -- 6.1 Definitions and prerequisites -- 6.3 The error terms ?2 -- 6.4 Appendix -- 7 The Initial Hypersurface and the Last Slice -- 7.1 Initial hypersurface foliations -- 7.2 The initial hypersurface connection estimates -- 7.3 The last slice foliation -- 7.4 The last slice connection estimates -- 7.5 The last slice rotation deformation estimates -- 7.6 The extension argument -- 7.7 Appendix -- 8 Conclusions -- 8.1 The spacetime null infinity -- 8.2 The behavior of the curvature tensor at the null-outgoing infinity -- 8.3 The behavior of the connection coefficients at the null-outgoing infinity. -- 8.4 The null-outgoing infinity limit of the structure equations -- 8.5 The Bondi mass -- 8.6 Asymptotic behavior of null-outgoing hypersurfaces -- Reference.', 'The main goal of this work is to revisit the proof of the global stability of Minkowski space by D. Christodoulou and S. Klainerman, [Ch-KI]. We provide a new self-contained proof of the main part of that result, which concerns the full solution of the radiation problem in vacuum, for arbitrary asymptotically flat initial data sets. This can also be interpreted as a proof of the global stability of the external region of Schwarzschild spacetime. The proof, which is a significant modification of the arguments in [Ch-Kl], is based on a double null foliation of spacetime instead of the mixed null-maximal foliation used in [Ch-Kl]. This approach is more naturally adapted to the radiation features of the Einstein equations and leads to important technical simplifications. In the first chapter we review some basic notions of differential geometry that are sys\xad tematically used in all the remaining chapters. We then introduce the Einstein equations and the initial data sets and discuss some of the basic features of the initial value problem in general relativity. We shall review, without proofs, well-established results concerning local and global existence and uniqueness and formulate our main result. The second chapter provides the technical motivation for the proof of our main theorem.']] | ['gnd:114637934X', 'gnd:172678056', 'gnd:4112491-1', 'gnd:4129061-6', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655367277'] | ['Nicolò, Francesco', 'Klainerman, Sergiu', 'Allgemeine Relativitätstheorie', 'Evolutionsgleichung'] | 22 | 9,911 |
3A1655367277.jsonld | ['gnd:4129061-6', 'gnd:4112491-1'] | ['Allgemeine Relativitätstheorie', 'Evolutionsgleichung'] | ['mat'] | [['(classificationName=msc)83C40', 'Partial differential equations.', '(classificationName=ddc)519', '(classificationName=linseach:mapping)phy', 'Geometry, Differential.', 'Gravitation.', '(classificationName=bk, id=106407937)33.06 - Mathematische Methoden der Physik', 'Applied mathematics.', 'Physics.', 'Mathematical physics', 'Differential equations, partial', '(classificationName=rvk)UH 8300', 'Engineering mathematics.', '(classificationName=rvk)SK 370', '(classificationName=bk, id=106407899)33.21 - Relativität, Gravitation', 'Differential equations.', '(classificationName=msc)83C05', 'Differential geometry.', '(classificationName=ddc)530.1', '(classificationName=msc)*83-02', 'Mathematics', 'Global differential geometry', 'Functional analysis.', '(classificationName=linseach:mapping)mat', '(classificationName=loc)T57-57.97']] | ['The Evolution Problem in General Relativity'] | [['1 Introduction -- 1.1 Generalities about Lorentz manifolds -- 1.2 The Einstein equations -- 1.3 Local existence for Einstein’s vacuum equations -- 1.4 Appendix -- 2 Analytic Methods in the Study of the Initial Value Problem -- 2.1 Local and global existence for systems of nonlinear wave equations -- 2.2 Weyl fields and Bianchi equations in Minkowski spacetime -- 2.3 Global nonlinear stability of Minkowski spacetime -- 2.4 Structure of the work -- 3 Definitions and Results -- 3.1 Connection coefficients -- 3.2 Bianchi equations in an Einstein vacuum spacetime -- 3.3 Canonical double null foliation of the spacetime -- 3.4 Deformation tensors -- 3.5 The definitions of the fundamental norms -- 3.6 The initial data -- 3.7 The Main Theorem -- 4 Estimates for the Connection Coefficients -- 4.1 Preliminary results -- 4.2 Proof of Theorem Ml -- 4.3 Proof of Theorem 4.2.1 and estimates for the zero and first derivatives of the connection coefficents -- 4.4 Proof of Theorem 4.2.2 and estimates for the second derivatives of the connection coefficients -- 4.5 Proof of Theorem 4.2.3 and control of third derivatives of the connection coefficients -- 4.6 Rotation tensor estimates -- 4.7 Proof of Theorem M2 and estimates for the D norms of the rotation deformation tensors -- 4.8 Appendix -- 5 Estimates for the Riemann Curvature Tensor -- 5.1 Preliminary tools -- 5.2 Appendix -- 6 The Error Estimates -- 6.1 Definitions and prerequisites -- 6.3 The error terms ?2 -- 6.4 Appendix -- 7 The Initial Hypersurface and the Last Slice -- 7.1 Initial hypersurface foliations -- 7.2 The initial hypersurface connection estimates -- 7.3 The last slice foliation -- 7.4 The last slice connection estimates -- 7.5 The last slice rotation deformation estimates -- 7.6 The extension argument -- 7.7 Appendix -- 8 Conclusions -- 8.1 The spacetime null infinity -- 8.2 The behavior of the curvature tensor at the null-outgoing infinity -- 8.3 The behavior of the connection coefficients at the null-outgoing infinity. -- 8.4 The null-outgoing infinity limit of the structure equations -- 8.5 The Bondi mass -- 8.6 Asymptotic behavior of null-outgoing hypersurfaces -- Reference.', 'The main goal of this work is to revisit the proof of the global stability of Minkowski space by D. Christodoulou and S. Klainerman, [Ch-KI]. We provide a new self-contained proof of the main part of that result, which concerns the full solution of the radiation problem in vacuum, for arbitrary asymptotically flat initial data sets. This can also be interpreted as a proof of the global stability of the external region of Schwarzschild spacetime. The proof, which is a significant modification of the arguments in [Ch-Kl], is based on a double null foliation of spacetime instead of the mixed null-maximal foliation used in [Ch-Kl]. This approach is more naturally adapted to the radiation features of the Einstein equations and leads to important technical simplifications. In the first chapter we review some basic notions of differential geometry that are sys\xad tematically used in all the remaining chapters. We then introduce the Einstein equations and the initial data sets and discuss some of the basic features of the initial value problem in general relativity. We shall review, without proofs, well-established results concerning local and global existence and uniqueness and formulate our main result. The second chapter provides the technical motivation for the proof of our main theorem.']] | ['gnd:114637934X', 'gnd:172678056', 'gnd:4112491-1', 'gnd:4129061-6', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655367277'] | ['Nicolò, Francesco', 'Klainerman, Sergiu', 'Allgemeine Relativitätstheorie', 'Evolutionsgleichung'] | 16 | 9,912 |
3A1655372459.jsonld | ['gnd:4002623-1', 'gnd:4048737-4', 'gnd:4121654-4'] | ['Arbeitnehmer', 'Recht', 'Selbstständiger'] | ['jur'] | [['Arbeitsorganisation', '(classificationName=bk, id=106416340)83.14 - Einkommen, Beschäftigung, Arbeitsmarkt', '(classificationName=linseach:mapping)jur', '(classificationName=ddc-dbn)320', 'Deutschland', 'Werkvertrag', 'Arbeits- und Industriesoziologie', 'Arbeitsrechtsprechung', 'Arbeitsvertrag', '(classificationName=bk, id=18157019X)86.77 - Arbeitsrecht: Sonstiges', '(classificationName=ddc)344.012', 'Erwerbseinkommen', '(classificationName=rvk)QV 200', 'Selbstständigkeit', '(classificationName=linseach:mapping)oek', 'Rechtsstatus', 'Scheinselbständige', 'Arbeitsmarktanalyse', 'Freie Mitarbeiter', 'Arbeitsrecht', 'Arbeitsmarkt- und Berufsforschung', '(classificationName=ddc)344.43012', 'Arbeitnehmer']] | ['Scheinselbständigkeit in Deutschland : rechtliche Grundlagen und empirische Befunde'] | ['This study on false self-employment (which the Institute for Employment Research (IAB) performed in cooperation with the German Federal Ministry of Labour and Social Affairs) is based on 4,500 quantitative interviews with the active workforce in Germany. The study delivers a representative overview of the working population in Germany, especially regarding their work relations and their social situation. The empirical study is based on an expertise prepared by Professor Wank (Ruhr-University Bochum) that reviews the prevailing jurisdiction and relevant legal reference works. The study answers three key questions: How widespread is the phenomenon of false self-employment? Who is affected and how are the false self-employed economically active? What is the correlation between legal status and earned income? Für diese Studie zur Scheinselbständigkeit (in Kooperation mit dem Bundesministerium für Arbeit und Soziales) hat das IAB 4.500 Personen zu ihrer Erwerbstätigkeit und sozialen Lage befragt. Die quantitative Untersuchung greift zur Bestimmung von Scheinselbständigkeit auf ein Rechtsgutachten von Professor Dr. Wank (Ruhr-Universität Bochum) zurück, das die aktuelle Rechtsprechung sowie die relevante Rechtsliteratur aufarbeitet und die empirische Analyse fundiert. Die Studie beantwortet drei Kernfragen: Wie verbreitet ist das Phänomen der Scheinselbständigkeit? Wer ist davon betroffen bzw. wie sind Scheinselbständige erwerbstätig? Welcher Zusammenhang besteht zwischen dem rechtlichen Status und dem Erwerbseinkommen?'] | ['gnd:1135755329', 'gnd:133810313', 'gnd:142069361', 'gnd:4002623-1', 'gnd:4011882-4', 'gnd:4048737-4', 'gnd:4121654-4', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655372459'] | ['Patzina, Alexander', 'Dietrich, Hans', 'Wank, Rolf', 'Arbeitnehmer', 'Deutschland', 'Recht', 'Selbstständiger'] | 12 | 9,913 |
3A1655372459.jsonld | ['gnd:4002623-1', 'gnd:4048737-4', 'gnd:4121654-4'] | ['Arbeitnehmer', 'Recht', 'Selbstständiger'] | ['oek'] | [['Arbeitsorganisation', '(classificationName=bk, id=106416340)83.14 - Einkommen, Beschäftigung, Arbeitsmarkt', '(classificationName=linseach:mapping)jur', '(classificationName=ddc-dbn)320', 'Deutschland', 'Werkvertrag', 'Arbeits- und Industriesoziologie', 'Arbeitsrechtsprechung', 'Arbeitsvertrag', '(classificationName=bk, id=18157019X)86.77 - Arbeitsrecht: Sonstiges', '(classificationName=ddc)344.012', 'Erwerbseinkommen', '(classificationName=rvk)QV 200', 'Selbstständigkeit', '(classificationName=linseach:mapping)oek', 'Rechtsstatus', 'Scheinselbständige', 'Arbeitsmarktanalyse', 'Freie Mitarbeiter', 'Arbeitsrecht', 'Arbeitsmarkt- und Berufsforschung', '(classificationName=ddc)344.43012', 'Arbeitnehmer']] | ['Scheinselbständigkeit in Deutschland : rechtliche Grundlagen und empirische Befunde'] | ['This study on false self-employment (which the Institute for Employment Research (IAB) performed in cooperation with the German Federal Ministry of Labour and Social Affairs) is based on 4,500 quantitative interviews with the active workforce in Germany. The study delivers a representative overview of the working population in Germany, especially regarding their work relations and their social situation. The empirical study is based on an expertise prepared by Professor Wank (Ruhr-University Bochum) that reviews the prevailing jurisdiction and relevant legal reference works. The study answers three key questions: How widespread is the phenomenon of false self-employment? Who is affected and how are the false self-employed economically active? What is the correlation between legal status and earned income? Für diese Studie zur Scheinselbständigkeit (in Kooperation mit dem Bundesministerium für Arbeit und Soziales) hat das IAB 4.500 Personen zu ihrer Erwerbstätigkeit und sozialen Lage befragt. Die quantitative Untersuchung greift zur Bestimmung von Scheinselbständigkeit auf ein Rechtsgutachten von Professor Dr. Wank (Ruhr-Universität Bochum) zurück, das die aktuelle Rechtsprechung sowie die relevante Rechtsliteratur aufarbeitet und die empirische Analyse fundiert. Die Studie beantwortet drei Kernfragen: Wie verbreitet ist das Phänomen der Scheinselbständigkeit? Wer ist davon betroffen bzw. wie sind Scheinselbständige erwerbstätig? Welcher Zusammenhang besteht zwischen dem rechtlichen Status und dem Erwerbseinkommen?'] | ['gnd:1135755329', 'gnd:133810313', 'gnd:142069361', 'gnd:4002623-1', 'gnd:4011882-4', 'gnd:4048737-4', 'gnd:4121654-4', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655372459'] | ['Patzina, Alexander', 'Dietrich, Hans', 'Wank, Rolf', 'Arbeitnehmer', 'Deutschland', 'Recht', 'Selbstständiger'] | 19 | 9,914 |
3A1655374338.jsonld | [] | [] | ['mat'] | [['Topology', '(classificationName=linseach:mapping)mat', '(classificationName=bk, id=106408461)31.14 - Zahlentheorie', 'Mathematical logic.', 'Mathematics', 'Logic, Symbolic and mathematical', 'Geschichte Anfänge-1970', '(classificationName=loc)QA8.9-10.3', '(classificationName=ddc)511.3', '(classificationName=rvk)SK 150', '(classificationName=rvk)CC 2600', '(classificationName=bk, id=10640847X)31.10 - Mathematische Logik, Mengenlehre']] | ['The Higher Infinite : Large Cardinals in Set Theory from Their Beginnings'] | ['The theory of large cardinals is currently a broad mainstream of modern set theory, the main area of investigation for the analysis of the relative consistency of mathematical propositions and possible new axioms for mathematics. The first of a projected multi-volume series, this book provides a comprehensive account of the theory of large cardinals from its beginnings and some of the direct outgrowths leading to the frontiers of contempory research. A "genetic" approach is taken, presenting the subject in the context of its historical development. With hindsight the consequential avenues are pursued and the most elegant or accessible expositions given. With open questions and speculations provided throughout the reader should not only come to appreciate the scope and coherence of the overall enterpreise but also become prepared to pursue research in several specific areas by studying the relevant sections'] | ['gnd:4360394-4', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655374338'] | ['Transfinite Kardinalzahl'] | 16 | 9,915 |
3A1655374699.jsonld | ['gnd:4127386-2', 'gnd:4251836-2', 'gnd:4035695-4'] | ['Lie-Gruppe', 'Transformationsgruppe', 'Lie-Theorie'] | ['mat'] | [['Manifolds (Mathematics).', 'Algebraic topology', '(classificationName=ddc)512.55', 'Geometry, algebraic', '(classificationName=linseach:mapping)mat', 'Algebraic geometry.', 'Mathematics', '(classificationName=loc)QA252.3', 'Lie groups.', 'Geometry, Differential.', 'Global differential geometry', '(classificationName=rvk)SK 340', 'Topological Groups', '(classificationName=loc)QA387', 'Cell aggregation', '(classificationName=ddc)512.482']] | ['Lie Groups and Lie Algebras I : Foundations of Lie Theory Lie Transformation Groups'] | ['From the reviews: "This volume consists of two parts. .. Part I is devoted to a systematic development of the theory of Lie groups. The Lie algebras are studied only in connection with Lie groups, i.e. a systematic study of the Lie algebras is included here. Neither the structural theory of the Lie groups and Lie algebras nor a systematic study of the topology of Lie groups form the subject of this volume. On the other hand, Part I contains a very interesting chapter on generalizations of Lie groups including very recent results. We find here Lie groups over non-archimedian fields, formal groups, infinite dimensional Lie groups and also analytic loops. Part II deals on an advanced level with actions of Lie groups on manifolds and includes subjec ts like Lie groups actions on manifolds, transitive actions, actions of compact Lie groups on low-dimensional manifolds. Though the authors state that the geometry and topology of Lie groups is almost entirely beyond the scope of this survey, one can learn a lot in these directions. Both parts are very nicely written and can be strongly recommended." European Mathematical Society Newsletter, 1993 ".. the book must be of great help for a researcher who already has some idea of Lie theory, wants to employ it in his everyday research and/or teaching, and needs a source for customary reference on the subject. From my viewpoint, the volume is perfectly fit to serve as such a source.. This is a hand- rather than a textbook. .. On the whole, it is quite a pleasure, after making yourself comfortable in that favourite office armchair of yours, just to keep the volume gently in your hands and browse it slowly and thoughtfully; and after all, what more on Earth can one expect of any book?" The New Zealand Mathematical Society Newsletter, 1994'] | ['gnd:112427359', 'gnd:4035695-4', 'gnd:4127386-2', 'gnd:4251836-2', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655374699'] | ['Oniščik, Arkadij L.', 'Lie-Gruppe', 'Transformationsgruppe', 'Lie-Theorie'] | 16 | 9,916 |
3A165537544X.jsonld | ['gnd:4018935-1', 'gnd:4277015-4'] | ['Funktionentheorie', 'Mehrere Variable'] | ['mat'] | [['(classificationName=rvk)SK 750', '(classificationName=linseach:mapping)mat', '(classificationName=msc)32A27', '(classificationName=msc)*32-06', 'Mathematics', '(classificationName=ddc)510', '(classificationName=msc)32-02', '(classificationName=msc)32B15', '(classificationName=loc)QA299.6-433', '(classificationName=bk, id=106415638)31.43 - Funktionen mit mehreren komplexen Variablen', 'Mathematical analysis.', '(classificationName=ddc)515', 'Global analysis (Mathematics)', '(classificationName=msc)32A25']] | ['Introduction to Complex Analysis'] | ['From the reviews of the first printing, published as Volume 7 of the Encyclopaedia of Mathematical Sciences:"... In this volume, we find an introductory essay entitled "Remarkable Facts of Complex Analysis" by Vitushkin.. This is followed by articles by G.M.Khenkin on integral formulas in complex analysis, by E.M.Chirka on complex analytic sets, by Vitushkin on the geometry of hypersurfaces and by P.Dolbeault, on the theory of residues in several variables. .. In sum, the volume under review is the first quarter of an important work that surveys an active branch of modern mathematics. Some of the individual articles are reminiscent in style of the early volumes of the first Ergebnisse series and will probably prove to be equally useful as a reference; all contain substantial lists of references." Bulletin of the American Mathematical Society, 1991 ".. This remarkable book has a helpfully informal style, abundant motivation, outlined proofs followed by precise references, and an extensive bibliography; it will be an invaluable reference and a companion to modern courses on several complex variables." ZAMP, Zeitschrift für Angewandte Mathematik und Physik 1990 ".. comprehensive and authoritative survey of results in contemporary mathematics, indications of the directions of its future development, the material presented around pivotal facts whose understanding enables one to have a general view of the area, no proofs or only the outline of proofs, and extensive bibliographies. .. Browsing through this collection of surveys gives one a feeling of awe and admiration. Truly, complex analysis is vigorously alive. .. They are highly recommended to everyone with an interest in complex analysis." Medelingen van het wiskundig genootshap, 1992'] | ['gnd:128427132', 'gnd:170945626', 'gnd:4018935-1', 'gnd:4277015-4', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A165537544X'] | ['Vituškin, Anatolij G.', 'Chenkin, Gennadij M.', 'Funktionentheorie', 'Mehrere Variable'] | 16 | 9,917 |
3A1655378740.jsonld | ['gnd:4030958-7', 'gnd:4123037-1'] | ['Klassifikation', 'Datenanalyse'] | ['inf'] | [['(classificationName=ddc)330.9', '(classificationName=loc)HB1-846.8', '(classificationName=rvk)QH 234', 'Distribution (Probability theory)', '(classificationName=msc)62-06', 'Economics', 'Statistics', '(classificationName=linseach:mapping)inf', 'Physiology', 'Economics/Management Science', '(classificationName=rvk)SS 1993', 'Mathematics', 'Econometrics.', '(classificationName=linseach:mapping)oek', 'Biomathematics.', 'Probabilities.', '(classificationName=msc)*00B15', 'Biometry.', '(classificationName=ddc)330.1']] | ['New Approaches in Classification and Data Analysis'] | ['The subject of this book is the analysis and processing of structural or quantitative data with emphasis on classification methods, new algorithms as well as applications in various fields related to data analysis and classification. The book presents the state of the art in world-wide research and application of methods from the fields indicated above and consists of survey papers as well as research papers'] | ['gnd:1013969758', 'gnd:4030958-7', 'gnd:4123037-1', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655378740'] | ['Schader, Martin', 'Klassifikation', 'Datenanalyse'] | 11 | 9,918 |
3A1655378740.jsonld | ['gnd:4030958-7', 'gnd:4123037-1'] | ['Klassifikation', 'Datenanalyse'] | ['oek'] | [['(classificationName=ddc)330.9', '(classificationName=loc)HB1-846.8', '(classificationName=rvk)QH 234', 'Distribution (Probability theory)', '(classificationName=msc)62-06', 'Economics', 'Statistics', '(classificationName=linseach:mapping)inf', 'Physiology', 'Economics/Management Science', '(classificationName=rvk)SS 1993', 'Mathematics', 'Econometrics.', '(classificationName=linseach:mapping)oek', 'Biomathematics.', 'Probabilities.', '(classificationName=msc)*00B15', 'Biometry.', '(classificationName=ddc)330.1']] | ['New Approaches in Classification and Data Analysis'] | ['The subject of this book is the analysis and processing of structural or quantitative data with emphasis on classification methods, new algorithms as well as applications in various fields related to data analysis and classification. The book presents the state of the art in world-wide research and application of methods from the fields indicated above and consists of survey papers as well as research papers'] | ['gnd:1013969758', 'gnd:4030958-7', 'gnd:4123037-1', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655378740'] | ['Schader, Martin', 'Klassifikation', 'Datenanalyse'] | 19 | 9,919 |
3A1655384392.jsonld | ['gnd:4031996-9', 'gnd:4197102-4', 'gnd:4197103-6'] | ['Komplexe Mannigfaltigkeit', 'Stratifikation (Mathematik)', 'Morse-Theorie'] | ['mat'] | [['Geometry, algebraic', '(classificationName=loc)QA564-609', '(classificationName=bk, id=106407716)31.61 - Algebraische Topologie', 'Cell aggregation', 'Morsesche Theorie', '(classificationName=linseach:mapping)mat', 'Manifolds (Mathematics).', '(classificationName=bk, id=106407708)31.65 - Mannigfaltigkeiten, Zellkomplexe', '(classificationName=rvk)SK 280', '(classificationName=ddc)516.35', '(classificationName=rvk)SK 300', 'Global analysis (Mathematics).', 'Global analysis', 'Algebraic geometry.', 'Mathematics']] | ['Stratified Morse Theory'] | ['Due to the lack of proper bibliographical sources stratification theory seems to be a "mysterious" subject in contemporary mathematics. This book contains a complete and elementary survey - including an extended bibliography - on stratification theory, including its historical development. Some further important topics in the book are: Morse theory, singularities, transversality theory, complex analytic varieties, Lefschetz theorems, connectivity theorems, intersection homology, complements of affine subspaces and combinatorics. The book is designed for all interested students or professionals in this area'] | ['gnd:1022423711', 'gnd:4031996-9', 'gnd:4197102-4', 'gnd:4197103-6', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655384392'] | ['Goresky, Mark', 'Komplexe Mannigfaltigkeit', 'Stratifikation (Mathematik)', 'Morse-Theorie'] | 16 | 9,920 |
3A1655385186.jsonld | ['gnd:4031996-9', 'gnd:4195660-6'] | ['Komplexe Mannigfaltigkeit', 'Algebraische Fläche'] | ['mat'] | [['(classificationName=rvk)SK 240', '(classificationName=ddc)510', '(classificationName=linseach:mapping)mat', 'Mathematics', '(classificationName=rvk)SK 350', 'Geometry, algebraic', '(classificationName=ddc)516.35', 'Algebraic geometry.', '(classificationName=loc)QA564-609']] | ['Compact Complex Surfaces'] | ['Contents: Introduction. - Standard Notations. - Preliminaries. - Curves on Surfaces. - Mappings of Surfaces. - Some General Properties of Surfaces. - Examples. - The Enriques-Kodaira Classification. - Surfaces of General Type. - K3-Surfaces and Enriques Surfaces. - Bibliography. - Subject Index'] | ['gnd:121105687', 'gnd:4031996-9', 'gnd:4195660-6', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655385186'] | ['Ven, Alphons A. F.', 'Komplexe Mannigfaltigkeit', 'Algebraische Fläche'] | 16 | 9,921 |
3A1655390260.jsonld | ['gnd:4069342-9', 'gnd:4730203-3'] | ['Berufsbildung', 'Geringe Qualifikation'] | ['pae'] | [['(classificationName=rvk)DL 4000', 'Tagungsband', 'Fachkräftemangel', '(classificationName=linseach:mapping)pae', 'Fachkräftemangel; Grundbildung; Alphabetisierung; Arbeitsgemeinschaft Berufsbildungsforschungsnetz; Berufsbildungsforschung; berufliche Integration; Bildungssoziologie; Benachteiligte; arbeitsplatzorientierte Grundbildung; Tagungsband', 'Alphabetisierung', 'Arbeitsgemeinschaft Berufsbildungsforschungsnetz', 'Berufsbildungsforschung', '(classificationName=bk, id=18157148X)81.91 - Betriebliche Berufsbildung', 'Grundbildung', 'Benachteiligte', 'Berufliche Integration', 'Bildungssoziologie', '(classificationName=ddc)370', 'arbeitsplatzorientierte Grundbildung']] | ['Berufsbildung für Geringqualifizierte : Barrieren und Erträge'] | ['Educational offerings where semi-skilled persons relearn how to study and, at the same time, manage the transition to work, are a central topic of this anthology. Following an introduction into the life situation and potential of semi-skilled and unskilled workers, the authors present model projects in their contributions, in which basic education is combined with vocational training. The second thread is concerned with validation of non-formally or informally acquired vocational skills. The aim is the use of new concepts and assessment criteria to break the association between entry into the world of work and formally acquired and certified educational qualifications. Bildungsangebote, mit denen Geringqualifizierte das Lernen wieder lernen und gleichzeitig den Übergang in den Beruf bewältigen, sind ein zentrales Thema dieses Sammelbandes. Nach einer Einführung in die Lebenssituation und Potenziale An- und Ungelernter stellen die Autor:innen in ihren Beiträgen Modellprojekte vor, in denen Grundbildung mit berufsfachlicher Ausbildung kombiniert wird. Der zweite Themenstrang befasst sich mit der Validierung nonformal oder informell erworbener beruflicher Kompetenzen. Durch neue Konzepte und Bewertungskriterien soll der berufliche Einstieg von der Bindung an formal erworbene und zertifizierte Bildungsabschlüsse entkoppelt werden.'] | ['gnd:114200319', 'gnd:124562728', 'gnd:4011882-4', 'gnd:4069342-9', 'gnd:4730203-3', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655390260'] | ['Severing, Eckart', 'Matthes, Britta', 'Deutschland', 'Berufsbildung', 'Geringe Qualifikation'] | 20 | 9,922 |
3A1655392948.jsonld | [] | [] | ['mat'] | [['(classificationName=rvk)SK 830', '(classificationName=linseach:mapping)mat', '(classificationName=loc)QA276-280', '(classificationName=msc)*62H25', '(classificationName=loc)QA278.5', 'Mathematical statistics', '(classificationName=bk, id=106418998)31.73 - Mathematische Statistik', '(classificationName=ddc)519.5/35', '(classificationName=dbn)27', '(classificationName=ddc)519.5', '(classificationName=msc)62-02', 'Statistics']] | ['Principal Component Analysis'] | [['Principal component analysis is central to the study of multivariate data. Although one of the earliest multivariate techniques, it continues to be the subject of much research, ranging from new model-based approaches to algorithmic ideas from neural networks. It is extremely versatile, with applications in many disciplines. The first edition of this book was the first comprehensive text written solely on principal component analysis. The second edition updates and substantially expands the original version, and is once again the definitive text on the subject. It includes core material, current research and a wide range of applications. Its length is nearly double that of the first edition. Researchers in statistics, or in other fields that use principal component analysis, will find that the book gives an authoritative yet accessible account of the subject. It is also a valuable resource for graduate courses in multivariate analysis. The book requires some knowledge of matrix algebra. Ian Jolliffe is Professor of Statistics at the University of Aberdeen. He is author or co-author of over 60 research papers and three other books. His research interests are broad, but aspects of principal component analysis have fascinated him and kept him busy for over 30 years.', 'Mathematical and Statistical Properties of Population Principal Components -- Mathematical and Statistical Properties of Sample Principal Components -- Principal Components as a Small Number of Interpretable Variables: Some Examples -- Graphical Representation of Data Using Principal Components -- Choosing a Subset of Principal Components or Variables -- Principal Component Analysis and Factor Analysis -- Principal Components in Regression Analysis -- Principal Components Used with Other Multivariate Techniques -- Outlier Detection, Influential Observations, Stability, Sensitivity, and Robust Estimation of Principal Components -- Rotation and Interpretation of Principal Components -- Principal Component Analysis for Time Series and Other Non-Independent Data -- Principal Component Analysis for Special Types of Data -- Generalizations and Adaptations of Principal Component Analysis.']] | ['gnd:111240816', 'gnd:4129174-8', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655392948'] | ['Jolliffe, Ian T.', 'Hauptkomponentenanalyse'] | 16 | 9,923 |
3A1655392980.jsonld | ['gnd:4057630-9', 'gnd:4372302-0'] | ['Stochastischer Prozess', 'Exponentialfamilie'] | ['mat'] | [['(classificationName=msc)62M09', 'Mathematics.', '(classificationName=msc)62-02', '(classificationName=ddc)519.2', '(classificationName=ddc)519.5', '(classificationName=loc)QA274', 'Probabilities.', '(classificationName=loc)QA276-280', 'Statistics', '(classificationName=msc)*60E05', '(classificationName=rvk)SK 820', '(classificationName=msc)62E10', '(classificationName=bk, id=106408070)31.70 - Wahrscheinlichkeitsrechnung', '(classificationName=msc)60-02', '(classificationName=linseach:mapping)mat']] | ['Exponential Families of Stochastic Processes'] | [['Natural Exponential Families of Léevy Processes -- Definitions and Examples -- First Properties -- Random Time Transformations -- Exponential Families of Markov Processes -- The Envelope Families -- Likelihood Theory -- Linear Stochastic Differential Equations with Time Delay -- Sequential Methods -- The Semimartingale Approach -- Alternative Definitions.', 'Exponential families of stochastic processes are parametric stochastic p- cess models for which the likelihood function exists at all ?nite times and has an exponential representation where the dimension of the canonical statistic is ?nite and independent of time. This de?nition not only covers manypracticallyimportantstochasticprocessmodels,italsogivesrisetoa rather rich theory. This book aims at showing both aspects of exponential families of stochastic processes. Exponential families of stochastic processes are tractable from an a- lytical as well as a probabilistic point of view. Therefore, and because the theory covers many important models, they form a good starting point for an investigation of the statistics of stochastic processes and cast interesting light on basic inference problems for stochastic processes. Exponential models play a central role in classical statistical theory for independent observations, where it has often turned out to be informative and advantageous to view statistical problems from the general perspective of exponential families rather than studying individually speci?c expon- tial families of probability distributions. The same is true of stochastic process models. Thus several published results on the statistics of parti- lar process models can be presented in a uni?ed way within the framework of exponential families of stochastic processes.']] | ['gnd:134302761', 'gnd:4057630-9', 'gnd:4372302-0', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655392980'] | ['Küchler, Uwe', 'Stochastischer Prozess', 'Exponentialfamilie'] | 16 | 9,924 |
3A1655396684.jsonld | [] | [] | ['mat'] | [['(classificationName=bk, id=106408461)31.14 - Zahlentheorie', 'Number theory', 'Mathematics', '(classificationName=rvk)SI 990', '(classificationName=loc)QA241-247.5', '(classificationName=linseach:mapping)mat', '(classificationName=rvk)SK 230', '(classificationName=rvk)SK 180', '(classificationName=ddc)512.7']] | ['Cyclotomic Fields I and II'] | ["This book is a combined edition of the books previously published as Cyclotomic Fields, Vol. I and II. It continues to provide a basic introduction to the theory of these number fields, which are of great interest in classical number theory, as well as in other areas, such as K-theory. Cyclotomic Fields begins with basic material on character sums, and proceeds to treat class number formulas, p-adic L-functions, Iwasawa theory, Lubin-Tate theory, and explicit reciprocity laws, and the Ferrero-Washington theorems, which prove Iwasawa's conjecture on the growth of the p-primary part of the ideal class group"] | ['gnd:119305119', 'gnd:4165607-6', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655396684'] | ['Lang, Serge', 'Kreiskörper'] | 16 | 9,925 |
3A1655401033.jsonld | [] | [] | ['mat'] | [['Mathematics', 'Algebraic topology', '(classificationName=ddc)514.2', '(classificationName=loc)QA612-612.8', '(classificationName=ddc)510', '(classificationName=rvk)SK 300', '(classificationName=linseach:mapping)mat', '(classificationName=bk, id=106407708)31.65 - Mannigfaltigkeiten, Zellkomplexe']] | ['A Course in Simple-Homotopy Theory'] | [['This book grew out of courses which I taught at Cornell University and the University of Warwick during 1969 and 1970. I wrote it because of a strong belief that there should be readily available a semi-historical and geo\xad metrically motivated exposition of J. H. C. Whitehead\'s beautiful theory of simple-homotopy types; that the best way to understand this theory is to know how and why it was built. This belief is buttressed by the fact that the major uses of, and advances in, the theory in recent times-for example, the s-cobordism theorem (discussed in §25), the use of the theory in surgery, its extension to non-compact complexes (discussed at the end of §6) and the proof of topological invariance (given in the Appendix)-have come from just such an understanding. A second reason for writing the book is pedagogical. This is an excellent subject for a topology student to "grow up" on. The interplay between geometry and algebra in topology, each enriching the other, is beautifully illustrated in simple-homotopy theory. The subject is accessible (as in the courses mentioned at the outset) to students who have had a good one\xad semester course in algebraic topology. I have tried to write proofs which meet the needs of such students. (When a proof was omitted and left as an exercise, it was done with the welfare of the student in mind. He should do such exercises zealously.', 'I. Introduction -- §1. Homotopy equivalence -- §2. Whitehead’s combinatorial approach to homotopy theory -- §3. CW complexes -- II. A Geometric Approach to Homotopy Theory -- §4. Formal deformations -- §5. Mapping cylinders and deformations -- §6. The Whitehead group of a CW comple -- §7. Simplifying a homotopically trivial CW pair -- §8. Matrices and formal deformations -- III. Algebra -- §9. Algebraic conventions -- §10. The groups KG(R) -- §11. Some information about Whitehead groups -- §12. Complexes with preferred bases [= (R,G)-complexes] -- §13. Acyclic chain complexes -- §14. Stable equivalence of acyclic chain complexes -- §15. Definition of the torsion of an acyclic comple -- §16. Milnor’s definition of torsion -- §17. Characterization of the torsion of a chain comple -- §18. Changing rings -- IV. Whitehead Torsion in the CW Category -- §19. The torsion of a CW pair — definition -- §20. Fundamental properties of the torsion of a pair -- §21. The natural equivalence of Wh(L) and ? Wh (?1Lj) -- §22. The torsion of a homotopy equivalence -- §23. Product and sum theorems -- §24. The relationship between homotopy and simple-homotopy -- §25. Tnvariance of torsion, h-cobordisms and the Hauptvermutung -- V. Lens Spaces -- §26. Definition of lens spaces -- §27. The 3-dimensional spaces Lp,q -- §28. Cell structures and homology groups -- §29. Homotopy classification -- §30. Simple-homotopy equivalence of lens spaces -- §31. The complete classification -- Appendix: Chapman’s proof of the topological invariance of Whitehead Torsion -- Selected Symbols and Abbreviations.']] | ['gnd:4128142-1', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655401033'] | ['Homotopietheorie'] | 16 | 9,926 |
3A1655401416.jsonld | [] | [] | ['mat'] | [['(classificationName=linseach:mapping)mat', '(classificationName=loc)QA1-939', '(classificationName=ddc)512', '(classificationName=bk, id=106407716)31.61 - Algebraische Topologie', 'Algebra.', 'Mathematics', '(classificationName=bk, id=106408119)31.51 - Algebraische Geometrie', '(classificationName=rvk)SI 990', '(classificationName=ddc)510', '(classificationName=bk, id=106408445)31.21 - Gruppentheorie', '(classificationName=rvk)SK 320', '(classificationName=bk, id=106408437)31.27 - Kategorientheorie']] | ['A Course in Homological Algebra'] | [['In this chapter we are largely influenced in our choice of material by the demands of the rest of the book. However, we take the view that this is an opportunity for the student to grasp basic categorical notions which permeate so much of mathematics today, including, of course, algebraic topology, so that we do not allow ourselves to be rigidly restricted by our immediate objectives. A reader totally unfamiliar with category theory may find it easiest to restrict his first reading of Chapter II to Sections 1 to 6; large parts of the book are understandable with the material presented in these sections. Another reader, who had already met many examples of categorical formulations and concepts might, in fact, prefer to look at Chapter II before reading Chapter I. Of course the reader thoroughly familiar with category theory could, in principal, omit Chapter II, except perhaps to familiarize himself with the notations employed. In Chapter III we begin the proper study of homological algebra by looking in particular at the group ExtA(A, B), where A and Bare A-modules. It is shown how this group can be calculated by means of a projective presentation of A, or an injective presentation of B; and how it may also be identified with the group of equivalence classes of extensions of the quotient module A by the submodule B.', 'I. Modules -- II. Categories and Functors -- III. Extensions of Modules -- IV. Derived Functors -- V. The Künneth Formula -- VI. Cohomology of Groups -- VII. Cohomology of Lie Algebras -- VIII. Exact Couples and Spectral Sequences -- IX. Satellites and Homology.']] | ['gnd:4160598-6', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655401416'] | ['Homologische Algebra'] | 16 | 9,927 |
3A1655402072.jsonld | [] | [] | ['mat'] | [['Mathematics', 'Number theory', '(classificationName=linseach:mapping)mat', '(classificationName=bk, id=106408461)31.14 - Zahlentheorie', '(classificationName=ddc)510', '(classificationName=loc)QA241-247.5', '(classificationName=ddc)512.7']] | ['A Classical Introduction to Modern Number Theory'] | ['Bridging the gap between elementary number theory and the systematic study of advanced topics, A Classical Introduction to Modern Number Theory is a well-developed and accessible text that requires only a familiarity with basic abstract algebra. Historical development is stressed throughout, along with wide-ranging coverage of significant results with comparatively elementary proofs, some of them new. An extensive bibliography and many challenging exercises are also included. This second edition has been corrected and contains two new chapters which provide a complete proof of the Mordell-Weil theorem for elliptic curves over the rational numbers, and an overview of recent progress on the arithmetic of elliptic curves'] | ['gnd:4067277-3', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655402072'] | ['Zahlentheorie'] | 16 | 9,928 |
3A1655403257.jsonld | ['gnd:4018014-1', 'gnd:4023453-8'] | ['Fourier-Transformation', 'Harmonische Analyse'] | ['mat'] | [['(classificationName=msc)35-01', '(classificationName=bk, id=10640816X)31.45 - Partielle Differentialgleichungen', '(classificationName=bk, id=181569965)31.47 - Operatortheorie', 'Fourier analysis', '(classificationName=bk, id=106407732)31.35 - Harmonische Analyse', '(classificationName=loc)QA403.5-404.5', '(classificationName=msc)*42-01', '(classificationName=msc)35A22', '(classificationName=msc)42A38', '(classificationName=ddc)515.2433', '(classificationName=msc)44A10', '(classificationName=msc)42B05', '(classificationName=msc)46F12', '(classificationName=linseach:mapping)mat', '(classificationName=msc)44A15', '(classificationName=loc)QA403.5', 'Mathematics', '(classificationName=msc)46F10']] | ['Fourier Analysis and Its Applications'] | [['Introduction -- Preparations -- Laplace and Z Transforms -- Fourier Series -- L^2 Theory -- Separation of Variables -- Fourier Transforms -- Distributions -- Multi-Dimensional Fourier Analysis -- Appendix A: The ubiquitous convolution -- Appendix B: The Discrete Fourier Transform -- Appendix C: Formulae -- Appendix D: Answers to exercises -- Appendix E: Literature.', 'This book presents the basic ideas in Fourier analysis and its applications to the study of partial differential equations. It also covers the Laplace and Zeta transformations and the fundaments of their applications. The author has intended to make his exposition accessible to readers with a limited background, for example, those not acquainted with the Lebesgue integral or with analytic functions of a complex variable. At the same time, he has included discussions of more advanced topics such as the Gibbs phenomenon, distributions, Sturm-Liouville theory, Cesaro summability and multi-dimensional Fourier analysis, topics which one usually will not find in books at this level. Many of the chapters end with a summary of their contents, as well as a short historical note. The text contains a great number of examples, as well as more than 350 exercises. In addition, one of the appendices is a collection of the formulas needed to solve problems in the field. Anders Vretblad is Senior Lecturer of Mathematics at Uppsala University, Sweden.']] | ['gnd:4018014-1', 'gnd:4023453-8', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655403257'] | ['Fourier-Transformation', 'Harmonische Analyse'] | 16 | 9,929 |
3A165540329X.jsonld | ['gnd:4001161-6', 'gnd:4205720-6'] | ['Algebraische Geometrie', 'Schema (Mathematik)'] | ['mat'] | [['(classificationName=rvk)SK 380', '(classificationName=msc)14-01', '(classificationName=bk, id=106407708)31.65 - Mannigfaltigkeiten, Zellkomplexe', '(classificationName=dbn)27', '(classificationName=ddc)516.35', '(classificationName=msc)14D20', '(classificationName=msc)14-02', '(classificationName=msc)14M05', '(classificationName=loc)QA564', '(classificationName=ddc)516.3/5', '(classificationName=bk, id=106408119)31.51 - Algebraische Geometrie', '(classificationName=msc)*14A15', '(classificationName=linseach:mapping)mat', 'Geometry, algebraic', '(classificationName=rvk)SK 240', '(classificationName=loc)QA564-609', 'Mathematics', 'Algebraic geometry.']] | ['The Geometry of Schemes'] | ['Basic Definitions -- Examples -- Projective Schemes -- Classical Constructions -- Local Constructions -- Schemes and Functors.'] | ['gnd:112574718', 'gnd:139999671', 'gnd:4001161-6', 'gnd:4205720-6', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A165540329X'] | ['Harris, Joe', 'Eisenbud, David', 'Algebraische Geometrie', 'Schema (Mathematik)'] | 16 | 9,930 |
3A1655403362.jsonld | ['gnd:4123113-2', 'gnd:4167721-3', 'gnd:4129061-6'] | ['Einparametrige Halbgruppe', 'Evolutionsgleichung', 'Linearer Operator'] | ['mat'] | [['(classificationName=msc)34K30', '(classificationName=msc)34K35', '(classificationName=dbn)27', 'Mathematical analysis.', '(classificationName=bk, id=181569965)31.47 - Operatortheorie', '(classificationName=linseach:mapping)mat', '(classificationName=msc)*47D06', '(classificationName=ddc)515', '(classificationName=msc)47-02', 'Global analysis (Mathematics)', '(classificationName=ddc)515/.353', '(classificationName=loc)QA299.6-433', 'Analysis (Mathematics).', 'Mathematics', '(classificationName=loc)QA329', '(classificationName=msc)35K30', '(classificationName=rvk)SK 620']] | ['One-Parameter Semigroups for Linear Evolution Equations'] | ['Linear Dynamical Systems -- Semigroups, Generators, and Resolvents -- Perturbation and Approximation of Semigroups -- Spectral Theory for Semigroups and Generators -- Asymptotics of Semigroups -- Semigroups Everywhere -- A Brief History of the Exponential Function.'] | ['gnd:141517956', 'gnd:4123113-2', 'gnd:4129061-6', 'gnd:4167721-3', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655403362'] | ['Nagel, Rainer', 'Einparametrige Halbgruppe', 'Evolutionsgleichung', 'Linearer Operator'] | 16 | 9,931 |
3A1655403370.jsonld | [] | [] | ['mat'] | [['(classificationName=bk, id=106407538)31.11 - Ordnungen, allgemeine mathematische Systeme', '(classificationName=loc)QA9.7', '(classificationName=rvk)SK 130', 'Mathematical logic.', 'Logic, Symbolic and mathematical', '(classificationName=msc)*03Cxx', '(classificationName=loc)QA8.9-10.3', '(classificationName=msc)03-01', 'Mathematics', '(classificationName=dbn)27', '(classificationName=bk, id=10640847X)31.10 - Mathematische Logik, Mengenlehre', '(classificationName=rvk)SI 990', '(classificationName=linseach:mapping)mat', '(classificationName=bk, id=106408437)31.27 - Kategorientheorie', '(classificationName=bk, id=106408445)31.21 - Gruppentheorie', '(classificationName=msc)03-02', '(classificationName=ddc)511.3']] | ['Model Theory : An Introduction'] | [["This book is a modern introduction to model theory which stresses applications to algebra throughout the text. The first half of the book includes classical material on model construction techniques, type spaces, prime models, saturated models, countable models, and indiscernibles and their applications. The author also includes an introduction to stability theory beginning with Morley's Categoricity Theorem and concentrating on omega-stable theories. One significant aspect of this text is the inclusion of chapters on important topics not covered in other introductory texts, such as omega-stable groups and the geometry of strongly minimal sets. The author then goes on to illustrate how these ingredients are used in Hrushovski's applications to diophantine geometry. David Marker is Professor of Mathematics at the University of Illinois at Chicago. His main area of research involves mathematical logic and model theory, and their applications to algebra and geometry. This book was developed from a series of lectures given by the author at the Mathematical Sciences Research Institute in 1998.", 'Structures and Theories -- Basic Techniques -- Algebraic Examples -- Realizing and Omitting Types -- Indiscernibles -- ?-Stable Theories -- ?-Stable Groups -- Geometry of Strongly Minimal Sets.']] | ['gnd:172949866', 'gnd:4114617-7', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655403370'] | ['Marker, David', 'Modelltheorie'] | 16 | 9,932 |
3A1655403427.jsonld | [] | [] | ['mat'] | [['(classificationName=loc)QA641-670', '(classificationName=bk, id=106408100)31.52 - Differentialgeometrie', '(classificationName=ddc)516.3/73', 'Mathematics', '(classificationName=bk, id=106407708)31.65 - Mannigfaltigkeiten, Zellkomplexe', '(classificationName=dbn)27', '(classificationName=ddc)516.36', 'Global differential geometry', '(classificationName=loc)QA649', 'Geometry, Differential.', '(classificationName=linseach:mapping)mat']] | ['Riemannian Manifolds : An Introduction to Curvature'] | [['This book is designed as a textbook for a one-quarter or one-semester graduate course on Riemannian geometry, for students who are familiar with topological and differentiable manifolds. It focuses on developing an intimate acquaintance with the geometric meaning of curvature. In so doing, it introduces and demonstrates the uses of all the main technical tools needed for a careful study of Riemannian manifolds. The author has selected a set of topics that can reasonably be covered in ten to fifteen weeks, instead of making any attempt to provide an encyclopedic treatment of the subject. The book begins with a careful treatment of the machinery of metrics, connections, and geodesics,without which one cannot claim to be doing Riemannian geometry. It then introduces the Riemann curvature tensor, and quickly moves on to submanifold theory in order to give the curvature tensor a concrete quantitative interpretation. From then on, all efforts are bent toward proving the four most fundamental theorems relating curvature and topology: the Gauss–Bonnet theorem (expressing the total curvature of a surface in term so fits topological type), the Cartan–Hadamard theorem (restricting the topology of manifolds of nonpositive curvature), Bonnet’s theorem (giving analogous restrictions on manifolds of strictly positive curvature), and a special case of the Cartan–Ambrose–Hicks theorem (characterizing manifolds of constant curvature). Many other results and techniques might reasonably claim a place in an introductory Riemannian geometry course, but could not be included due to time constraints.', 'What Is Curvature? -- Review of Tensors, Manifolds, and Vector Bundles -- Definitions and Examples of Riemannian Metrics -- Connections -- Riemannian Geodesics -- Geodesics and Distance -- Curvature -- Riemannian Submanifolds -- The Gauss-Bonnet Theorem -- Jacobi Fields -- Curvature and Topology.']] | ['gnd:4128295-4', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655403427'] | ['Riemannscher Raum'] | 16 | 9,933 |
3A1655408747.jsonld | ['gnd:4078889-1', 'gnd:4013396-5', 'gnd:4029930-2', 'gnd:4177490-5'] | ['Dynamisches System', 'Katastrophentheorie', 'Verzweigung (Mathematik)', 'Nichtlineare Analysis'] | ['mat'] | [['Global analysis (Mathematics).', 'Global analysis', 'Differential geometry.', '(classificationName=msc)58-01', '(classificationName=ddc)516.36', 'Ergodic theory.', '(classificationName=msc)37Cxx', 'Geometry, Differential.', '(classificationName=rvk)SK 350', '(classificationName=msc)58Cxx', 'Mathematics', '(classificationName=linseach:mapping)mat', '(classificationName=bk, id=106407708)31.65 - Mannigfaltigkeiten, Zellkomplexe', '(classificationName=msc)*37-01', '(classificationName=bk, id=106407546)31.55 - Globale Analysis', '(classificationName=msc)37Dxx', 'Dynamics.', 'Global differential geometry', '(classificationName=bk, id=106418947)30.20 - Nichtlineare Dynamik', 'Differentiable dynamical systems', 'Manifolds (Mathematics).', 'Dynamical systems.', '(classificationName=bk, id=106407724)31.44 - Gewöhnliche Differentialgleichungen', '(classificationName=loc)QA641-670', '(classificationName=msc)58Kxx']] | ['Bifurcations and Catastrophes : Geometry of Solutions to Nonlinear Problems'] | ['Based on a lecture course at the Ecole Polytechnique (Paris), this text gives a rigorous introduction to many of the key ideas in nonlinear analysis, dynamical systems and bifurcation theory including catastrophe theory. Wherever appropriate it emphasizes a geometrical or coordinate-free approach which allows a clear focus on the essential mathematical structures. Taking a unified view, it brings out features common to different branches of the subject while giving ample references for more advanced or technical developments'] | ['gnd:121340201', 'gnd:4013396-5', 'gnd:4029930-2', 'gnd:4078889-1', 'gnd:4177490-5', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655408747'] | ['Demazure, Michel', 'Dynamisches System', 'Katastrophentheorie', 'Verzweigung (Mathematik)', 'Nichtlineare Analysis'] | 16 | 9,934 |
3A1655410741.jsonld | [] | [] | ['mat'] | [['(classificationName=loc)QA8.9-10.3', '(classificationName=ddc)511.3', '(classificationName=rvk)SK 130', '(classificationName=rvk)CC 2600', '(classificationName=linseach:mapping)mat', '(classificationName=linseach:mapping)phi', 'Mathematical logic.', 'Mathematics', 'Logic, Symbolic and mathematical']] | ['Self-Reference and Modal Logic'] | [['It is Sunday, the 7th of September 1930. The place is Konigsberg and the occasion is a small conference on the foundations of mathematics. Arend Heyting, the foremost disciple of L. E. J. Brouwer, has spoken on intuitionism; Rudolf Carnap of the Vienna Circle has expounded on logicism; Johann (formerly Janos and in a few years to be Johnny) von Neumann has explained Hilbert\'s proof theory-- the so-called formalism; and Hans Hahn has just propounded his own empiricist views of mathematics. The floor is open for general discussion, in the midst of which Heyting announces his satisfaction with the meeting. For him, the relationship between formalism and intuitionism has been clarified: There need be no war between the intuitionist and the formalist. Once the formalist has successfully completed Hilbert\'s programme and shown "finitely" that the "idealised" mathematics objected to by Brouwer proves no new "meaningful" statements, even the intuitionist will fondly embrace the infinite. To this euphoric revelation, a shy young man cautions~ "According to the formalist conception one adjoins to the meaningful statements of mathematics transfinite (pseudo-\')statements which in themselves have no meaning but only serve to make the system a well-rounded one just as in geometry one achieves a well\xad rounded system by the introduction of points at infinity.', '0. Introduction -- 1. The Incompleteness Theorems -- 2. Self-Reference -- 3. Things to Come -- 4. The Theory PRA -- 5. Encoding Syntax in PRA -- 6. Additional Arithmetic Prerequisites -- I. The Logic of Provability -- 1. Provability as Modality -- 2. Modal Model Theory -- 3. Arithmetic Interpretations of PRL -- II. Multi-Modal Logic and Self-Reference -- 4. Bi-Modal Logics and Their Arithmetic Interpretations -- 5. Fixed Point Algebras -- III. Non-Extensional Self-Reference -- 6. Rosser Sentences -- 7. An Ubiquitous Fixed Point Calculation.']] | ['gnd:4074914-9', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655410741'] | ['Modallogik'] | 16 | 9,935 |
3A1655410741.jsonld | [] | [] | ['phi'] | [['(classificationName=loc)QA8.9-10.3', '(classificationName=ddc)511.3', '(classificationName=rvk)SK 130', '(classificationName=rvk)CC 2600', '(classificationName=linseach:mapping)mat', '(classificationName=linseach:mapping)phi', 'Mathematical logic.', 'Mathematics', 'Logic, Symbolic and mathematical']] | ['Self-Reference and Modal Logic'] | [['It is Sunday, the 7th of September 1930. The place is Konigsberg and the occasion is a small conference on the foundations of mathematics. Arend Heyting, the foremost disciple of L. E. J. Brouwer, has spoken on intuitionism; Rudolf Carnap of the Vienna Circle has expounded on logicism; Johann (formerly Janos and in a few years to be Johnny) von Neumann has explained Hilbert\'s proof theory-- the so-called formalism; and Hans Hahn has just propounded his own empiricist views of mathematics. The floor is open for general discussion, in the midst of which Heyting announces his satisfaction with the meeting. For him, the relationship between formalism and intuitionism has been clarified: There need be no war between the intuitionist and the formalist. Once the formalist has successfully completed Hilbert\'s programme and shown "finitely" that the "idealised" mathematics objected to by Brouwer proves no new "meaningful" statements, even the intuitionist will fondly embrace the infinite. To this euphoric revelation, a shy young man cautions~ "According to the formalist conception one adjoins to the meaningful statements of mathematics transfinite (pseudo-\')statements which in themselves have no meaning but only serve to make the system a well-rounded one just as in geometry one achieves a well\xad rounded system by the introduction of points at infinity.', '0. Introduction -- 1. The Incompleteness Theorems -- 2. Self-Reference -- 3. Things to Come -- 4. The Theory PRA -- 5. Encoding Syntax in PRA -- 6. Additional Arithmetic Prerequisites -- I. The Logic of Provability -- 1. Provability as Modality -- 2. Modal Model Theory -- 3. Arithmetic Interpretations of PRL -- II. Multi-Modal Logic and Self-Reference -- 4. Bi-Modal Logics and Their Arithmetic Interpretations -- 5. Fixed Point Algebras -- III. Non-Extensional Self-Reference -- 6. Rosser Sentences -- 7. An Ubiquitous Fixed Point Calculation.']] | ['gnd:4074914-9', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655410741'] | ['Modallogik'] | 21 | 9,936 |
3A1655411063.jsonld | [] | [] | ['mat'] | [['(classificationName=rvk)SK 540', '(classificationName=ddc)515.96', '(classificationName=rvk)SK 750', '(classificationName=rvk)SK 560', '(classificationName=msc)65H10', 'Potential theory (Mathematics)', '(classificationName=rvk)SK 820', 'Mathematics', '(classificationName=rvk)SK 500', '(classificationName=loc)QA404.7-405', '(classificationName=msc)60J25', '(classificationName=msc)31B35', '(classificationName=linseach:mapping)mat', '(classificationName=msc)*31-02', '(classificationName=msc)60J45']] | ['Potential Theory : An Analytic and Probabilistic Approach to Balayage'] | [['During the last thirty years potential theory has undergone a rapid development, much of which can still only be found in the original papers. This book deals with one part of this development, and has two aims. The first is to give a comprehensive account of the close connection between analytic and probabilistic potential theory with the notion of a balayage space appearing as a natural link. The second aim is to demonstrate the fundamental importance of this concept by using it to give a straight presentation of balayage theory which in turn is then applied to the Dirichlet problem. We have considered it to be beyond the scope of this book to treat further topics such as duality, ideal boundary and integral representation, energy and Dirichlet forms. The subject matter of this book originates in the relation between classical potential theory and the theory of Brownian motion. Both theories are linked with the Laplace operator. However, the deep connection between these two theories was first revealed in the papers of S. KAKUTANI [1], [2], [3], M. KAC [1] and J. L. DO DB [2] during the period 1944-54: This can be expressed by the·fact that the harmonic measures which occur in the solution of the Dirichlet problem are hitting distri\xad butions for Brownian motion or, equivalently, that the positive hyperharmonic func\xad tions for the Laplace equation are the excessive functions of the Brownian semi\xad group.', '0. Classical Potential Theory -- 1. Harmonic and Hyperharmonic Functions -- 2. Brownian Semigroup -- 3. Excessive Functions -- I. General Preliminaries -- 1. Function Cones -- 2. Choquet Boundary -- 3. Analytic Sets and Capacitances -- 4. Laplace Transforms -- 5. Coercive Bilinear Forms -- II. Excessive Functions -- 1. Kernels -- 2. Supermedian Functions -- 3. Semigroups and Resolvents -- 4. Balayage Spaces -- 5. Continuous Potentials -- 6. Construction of Kernels -- 7. Construction of Resolvents -- 8. Construction of Semigroups -- III. Hyperharmonic Functions -- 1. Harmonic Kernels -- 2. Harmonic Structure of a Balayage Space -- 3. Convergence Properties -- 4. Minimum Principle and Sheaf Properties -- 5. Regularizations -- 6. Potentials -- 7. Absorbing and Finely Isolated Points -- 8. Harmonic Spaces -- IV. Markov Processes -- 1. Stochastic Processes -- 2. Markov Processes -- 3. Transition Functions -- 4. Modifications -- 5. Stopping Times -- 6. Strong Markov Processes -- 7. Hunt Processes -- 8. Four Equivalent Views of Potential Theory -- V. Examples -- 1. Subspaces -- 2. Strong Feller Kernels -- 3. Subordination by Convolution Semigroups -- 4. Riesz Potentials -- 5. Products -- 6. Heat Equation -- 7. Brownian Semigroups on the Infinite Dimensional Torus -- 8. Images -- 9. Further Examples -- VI. Balayage Theory -- 1. Balayage of Functions -- 2. Balayage of Measures -- 3. Probabilistic Interpretation -- 4. Base -- 5. Exceptional Sets -- 6. Essential Base -- 7. Penetration Time -- 8. Fine Support of Potentials -- 9. Fine Properties of Balayage -- 10. Convergence of Balayage Measures -- 11. Accumulation Points of Balayage Measures -- 12. Extreme Representing Measures -- VII. Dirichlet Problem -- 1. Perron Sets -- 2. Generalized Dirichlet Problem -- 3. Regular Points -- 4. Irregular Points -- 5. Simplicial Cones -- 6. Weak Dirichlet Problem -- 7. Characterization of the Generalized Solution -- 8. Fine Dirichlet Problem -- 9. Approximation -- 10. Removable Singularities -- VIII. Partial Differential Equations -- 1. Bauer Spaces -- 2. Semi-El1iptic Differential Operators -- 3. Smooth Bauer Spaces -- 4. Weak Solutions -- 5. Elliptic-Parabolic Differential Operators -- Notes -- Index of Symbols -- Guide to Standard Examples.']] | ['gnd:143393618', 'gnd:4046939-6', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655411063'] | ['Hansen, Wolfhard', 'Potenzialtheorie'] | 16 | 9,937 |
3A1655412434.jsonld | [] | [] | ['mat'] | [['(classificationName=bk, id=106408178)31.42 - Funktionen mit einer komplexen Variablen', 'Global differential geometry', '(classificationName=rvk)SK 750', '(classificationName=msc)30Fxx', '(classificationName=loc)QA641-670', '(classificationName=msc)14H55', 'Geometry, Differential.', '(classificationName=ddc)510', '(classificationName=msc)*30-02', '(classificationName=msc)53-02', 'Mathematics', '(classificationName=ddc)516.36', '(classificationName=linseach:mapping)mat', '(classificationName=msc)14-02', '(classificationName=msc)58E20']] | ['Compact Riemann Surfaces : An Introduction to Contemporary Mathematics'] | ['Although Riemann surfaces are a time-honoured field, this book is novel in its broad perspective that systematically explores the connection with other fields of mathematics. It can serve as an introduction to contemporary mathematics as a whole as it develops background material from algebraic topology, differential geometry, the calculus of variations, elliptic PDE, and algebraic geometry. It is unique among textbooks on Riemann surfaces in including an introduction to Teichmüller theory. The analytic approach is likewise new as it is based on the theory of harmonic maps'] | ['gnd:115774564', 'gnd:4164852-3', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655412434'] | ['Jost, Jürgen', 'Kompakte Riemannsche Fläche'] | 16 | 9,938 |
3A1655412655.jsonld | [] | [] | ['oek'] | [['Probabilities.', '(classificationName=loc)QA273.A1-274.9', '(classificationName=ddc)519.2', '(classificationName=msc)60J60', '(classificationName=loc)QA274-274.9', 'System theory.', 'Control theory.', 'Calculus of variations.', 'Mathematical optimization', 'Mathematical analysis.', '(classificationName=msc)*60Hxx', '(classificationName=rvk)SK 820', 'Distribution (Probability theory)', '(classificationName=rvk)QH 237', '(classificationName=msc)60-01', '(classificationName=msc)93E20', '(classificationName=linseach:mapping)oek', '(classificationName=ddc)330', 'Systems theory', '(classificationName=linseach:mapping)mat', 'Mathematics', '(classificationName=msc)60G35', 'Global analysis (Mathematics)']] | ['Stochastic Differential Equations : An Introduction with Applications'] | ['From the reviews to the first edition: Most of the literature about stochastic differential equations seems to place so much emphasis on rigor and completeness that it scares the nonexperts away. These notes are an attempt to approach the subject from the nonexpert point of view.: Not knowing anything .. about a subject to start with, what would I like to know first of all. My answer would be: 1) In what situations does the subject arise ? 2) What are its essential features? 3) What are the applications and the connections to other fields?" The author, a lucid mind with a fine pedagocical instinct, has written a splendid text that achieves his aims set forward above. He starts out by stating six problems in the introduction in which stochastic differential equations play an essential role in the solution. Then, while developing stochastic calculus, he frequently returns to these problems and variants thereof and to many other problems to show how thetheory works and to motivate the next step in the theoretical development. Needless to say, he restricts himself to stochastic integration with respectto Brownian motion. He is not hesitant to give some basic results without proof in order to leave room for "some more basic applications".. It can be an ideal text for a graduate course, but it is also recommended to analysts (in particular, those working in differential equations and deterministic dynamical systems and control) who wish to learn quickly what stochastic differential equations are all about. From: Acta Scientiarum Mathematicarum, Tom 50, 3-4, 1986'] | ['gnd:4057621-8', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655412655'] | ['Stochastische Differentialgleichung'] | 19 | 9,939 |
3A1655412655.jsonld | [] | [] | ['mat'] | [['Probabilities.', '(classificationName=loc)QA273.A1-274.9', '(classificationName=ddc)519.2', '(classificationName=msc)60J60', '(classificationName=loc)QA274-274.9', 'System theory.', 'Control theory.', 'Calculus of variations.', 'Mathematical optimization', 'Mathematical analysis.', '(classificationName=msc)*60Hxx', '(classificationName=rvk)SK 820', 'Distribution (Probability theory)', '(classificationName=rvk)QH 237', '(classificationName=msc)60-01', '(classificationName=msc)93E20', '(classificationName=linseach:mapping)oek', '(classificationName=ddc)330', 'Systems theory', '(classificationName=linseach:mapping)mat', 'Mathematics', '(classificationName=msc)60G35', 'Global analysis (Mathematics)']] | ['Stochastic Differential Equations : An Introduction with Applications'] | ['From the reviews to the first edition: Most of the literature about stochastic differential equations seems to place so much emphasis on rigor and completeness that it scares the nonexperts away. These notes are an attempt to approach the subject from the nonexpert point of view.: Not knowing anything .. about a subject to start with, what would I like to know first of all. My answer would be: 1) In what situations does the subject arise ? 2) What are its essential features? 3) What are the applications and the connections to other fields?" The author, a lucid mind with a fine pedagocical instinct, has written a splendid text that achieves his aims set forward above. He starts out by stating six problems in the introduction in which stochastic differential equations play an essential role in the solution. Then, while developing stochastic calculus, he frequently returns to these problems and variants thereof and to many other problems to show how thetheory works and to motivate the next step in the theoretical development. Needless to say, he restricts himself to stochastic integration with respectto Brownian motion. He is not hesitant to give some basic results without proof in order to leave room for "some more basic applications".. It can be an ideal text for a graduate course, but it is also recommended to analysts (in particular, those working in differential equations and deterministic dynamical systems and control) who wish to learn quickly what stochastic differential equations are all about. From: Acta Scientiarum Mathematicarum, Tom 50, 3-4, 1986'] | ['gnd:4057621-8', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655412655'] | ['Stochastische Differentialgleichung'] | 16 | 9,940 |
3A1655413244.jsonld | [] | [] | ['mat'] | [['Number theory', '(classificationName=msc)12J25', '(classificationName=msc)*11-01', '(classificationName=msc)11Sxx', '(classificationName=linseach:mapping)mat', '(classificationName=rvk)SK 180', '(classificationName=msc)11S80', '(classificationName=msc)26E30', '(classificationName=loc)QA241-247.5', '(classificationName=bk, id=106408461)31.14 - Zahlentheorie', '(classificationName=msc)30G06', '(classificationName=ddc)512.7', 'Mathematics']] | ['p-adic Numbers : An Introduction'] | ['p-adic numbers are of great theoretical importance in number theory, since they allow the use of the language of analysis to study problems relating toprime numbers and diophantine equations. Further, they offer a realm where one can do things that are very similar to classical analysis, but with results that are quite unusual. The book should be of use to students interested in number theory, but at the same time offers an interesting example of the many connections between different parts of mathematics. The book strives to be understandable to an undergraduate audience. Very little background has been assumed, and the presentation is leisurely. There are many problems, which should help readers who are working on their own (a large appendix with hints on the problem is included). Most of all, the book should offer undergraduates exposure to some interesting mathematics which is off the beaten track. Those who will later specialize in number theory, algebraic geometry, and related subjects will benefit more directly, but all mathematics students can enjoy the book'] | ['gnd:111808863', 'gnd:4044292-5', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655413244'] | ['Gouvêa, Fernando Q.', 'p-adische Zahl'] | 16 | 9,941 |
3A1655414542.jsonld | [] | [] | ['mat'] | [['Markov processes', '(classificationName=loc)QA274-274.9', 'Distribution (Probability theory)', '(classificationName=ddc)519.2', 'Electrical engineering.', 'Mathematics', '(classificationName=msc)60K10', '(classificationName=msc)60J27', '(classificationName=msc)60G60', 'Probabilities.', '(classificationName=msc)*60-02', 'Operations research', '(classificationName=msc)60J10', '(classificationName=loc)QA273.A1-274.9', '(classificationName=linseach:mapping)mat', 'Computer engineering']] | ['Markov Chains : Gibbs Fields, Monte Carlo Simulation, and Queues'] | ['In this book, the author begins with the elementary theory of Markov chains and very progressively brings the reader to the more advanced topics. He gives a useful review of probability that makes the book self-contained, and provides an appendix with detailed proofs of all the prerequisites from calculus, algebra, and number theory. A number of carefully chosen problems of varying difficulty are proposed at the close of each chapter, and the mathematics are slowly and carefully developed, in order to make self-study easier. The author treats the classic topics of Markov chain theory, both in discrete time and continuous time, as well as the connected topics such as finite Gibbs fields, nonhomogeneous Markov chains, discrete- time regenerative processes, Monte Carlo simulation, simulated annealing, and queuing theory. The result is an up-to-date textbook on stochastic processes. Students and researchers in operations research and electrical engineering, as well as in physics and biology, will find it very accessible and relevant'] | ['gnd:1060028131', 'gnd:4037612-6', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655414542'] | ['Brémaud, Pierre', 'Markov-Kette'] | 16 | 9,942 |
3A1655414895.jsonld | ['gnd:4139571-2', 'gnd:4126142-2', 'gnd:4078889-1', 'gnd:4013396-5', 'gnd:4009754-7'] | ['Chaostheorie', 'Dynamisches System', 'Verzweigung (Mathematik)', 'Nichtlineares dynamisches System', 'Vektorfeld'] | ['mat'] | [['Mathematics', 'System theory.', 'Differentiable dynamical systems', 'Engineering', '(classificationName=msc)34C28', 'Dynamics.', '(classificationName=msc)37J15', '(classificationName=msc)70-01', '(classificationName=msc)37D45', '(classificationName=msc)37G05', 'Engineering mathematics', '(classificationName=linseach:mapping)mat', 'Applied mathematics.', '(classificationName=msc)37E10', '(classificationName=msc)37C20', 'Dynamical systems.', '(classificationName=bk, id=10640816X)31.45 - Partielle Differentialgleichungen', '(classificationName=rvk)SK 810', 'Statistical physics.', '(classificationName=msc)37J20', '(classificationName=ddc)515.48', '(classificationName=bk, id=106410555)30.10 - Systemtheorie', '(classificationName=rvk)UG 3900', '(classificationName=msc)34-01', 'Physics', '(classificationName=msc)37D10', '(classificationName=msc)*37-01', '(classificationName=loc)QA614.8', 'Ergodic theory.', '(classificationName=ddc)515.39', '(classificationName=loc)QA313', '(classificationName=ddc)003.85', '(classificationName=rvk)SK 520', 'Mathematical physics.', 'Engineering—Data processing.', '(classificationName=bk, id=106407708)31.65 - Mannigfaltigkeiten, Zellkomplexe']] | ['Introduction to Applied Nonlinear Dynamical Systems and Chaos'] | [['This volume is intended for advanced undergraduate or first-year graduate students as an introduction to applied nonlinear dynamics and chaos. The author has placed emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about the behavior of these systems. He has included the basic core material that is necessary for higher levels of study and research. Thus, people who do not necessarily have an extensive mathematical background, such as students in engineering, physics, chemistry, and biology, will find this text as useful as students of mathematics. This new edition contains extensive new material on invariant manifold theory and normal forms (in particular, Hamiltonian normal forms and the role of symmetry). Lagrangian, Hamiltonian, gradient, and reversible dynamical systems are also discussed. Elementary Hamiltonian bifurcations are covered, as well as the basic properties of circle maps. The book contains an extensive bibliography as well as a detailed glossary of terms, making it a comprehensive book on applied nonlinear dynamical systems from a geometrical and analytical point of view.', 'Equilibrium Solutions, Stability, and Linearized Stability -- Liapunov Functions -- Invariant Manifolds: Linear and Nonlinear Systems -- Periodic Orbits -- Vector Fields Possessing an Integral -- Index Theory -- Some General Properties of Vector Fields: Existence, Uniqueness, Differentiability, and Flows -- Asymptotic Behavior -- The Poincaré-Bendixson Theorem -- Poincaré Maps -- Conjugacies of Maps, and Varying the Cross-Section -- Structural Stability, Genericity, and Transversality -- Lagrange’s Equations -- Hamiltonian Vector Fields -- Gradient Vector Fields -- Reversible Dynamical Systems -- Asymptotically Autonomous Vector Fields -- Center Manifolds -- Normal Forms -- Bifurcation of Fixed Points of Vector Fields -- Bifurcations of Fixed Points of Maps -- On the Interpretation and Application of Bifurcation Diagrams: A Word of Caution -- The Smale Horseshoe -- Symbolic Dynamics -- The Conley-Moser Conditions, or “How to Prove That a Dynamical System is Chaotic” -- Dynamics Near Homoclinic Points of Two-Dimensional Maps -- Orbits Homoclinic to Hyperbolic Fixed Points in Three-Dimensional Autonomous Vector Fields -- Melnikov–s Method for Homoclinic Orbits in Two-Dimensional, Time-Periodic Vector Fields -- Liapunov Exponents -- Chaos and Strange Attractors -- Hyperbolic Invariant Sets: A Chaotic Saddle -- Long Period Sinks in Dissipative Systems and Elliptic Islands in Conservative Systems -- Global Bifurcations Arising from Local Codimension—Two Bifurcations -- Glossary of Frequently Used Terms.']] | ['gnd:4009754-7', 'gnd:4013396-5', 'gnd:4078889-1', 'gnd:4126142-2', 'gnd:4139571-2', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655414895'] | ['Chaostheorie', 'Dynamisches System', 'Verzweigung (Mathematik)', 'Nichtlineares dynamisches System', 'Vektorfeld'] | 16 | 9,943 |
3A1655414968.jsonld | ['gnd:4044779-0', 'gnd:4128130-5'] | ['Partielle Differentialgleichung', 'Numerisches Verfahren'] | ['mat'] | [['(classificationName=msc)*35-01', 'Global analysis (Mathematics)', 'Numerical analysis', '(classificationName=rvk)SK 920', 'Computer science', '(classificationName=loc)QA299.6-433', 'Mathematical physics', '(classificationName=rvk)SK 540', 'Mathematics', '(classificationName=bk, id=106408194)31.76 - Numerische Mathematik', 'Mathematical analysis.', '(classificationName=linseach:mapping)mat', 'Computer science—Mathematics.', 'Physics', '(classificationName=bk, id=10640816X)31.45 - Partielle Differentialgleichungen', '(classificationName=ddc)515']] | ['Introduction to Partial Differential Equations : A Computational Approach'] | [['Setting the Scene -- Two-Point Boundary Value Problems -- The Heat Equation -- Finite Difference Schemes For The Heat Equation -- The Wave Equation -- Maximum Principles -- Poisson’s Equation in Two Space Dimensions -- Orthogonality and General Fourier Series -- Convergence of Fourier Series -- The Heat Equation Revisited -- Reaction-Diffusion Equations -- Applications of the Fourier Transform.', '“It is impossible to exaggerate the extent to which modern applied mathematics has been shaped and fueled by the g- eral availability of fast computers with large memories. Their impact on mathematics, both applied and pure, is comparable to the role of the telescopes in astronomy and microscopes in biology.” — Peter Lax, Siam Rev. Vol. 31 No. 4 Congratulations! You have chosen to study partial di?erential equations. That decision is a wise one; the laws of nature are written in the language of partial di?erential equations. Therefore, these equations arise as models in virtually all branches of science and technology. Our goal in this book is to help you to understand what this vast subject is about. The book is an introduction to the ?eld. We assume only that you are familiar with - sic calculus and elementary linear algebra. Some experience with ordinary di?erential equations would also be an advantage. Introductory courses in partial di?erential equations are given all over the world in various forms. The traditional approach to the subject is to introduce a number of analytical techniques, enabling the student to - rive exact solutions of some simpli?ed problems. Students who learn about viii Preface computational techniques on other courses subsequently realize the scope of partial di?erential equations beyond paper and pencil.']] | ['gnd:1012216276', 'gnd:4044779-0', 'gnd:4128130-5', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655414968'] | ['Tveito, Aslak', 'Partielle Differentialgleichung', 'Numerisches Verfahren'] | 16 | 9,944 |
3A1655415565.jsonld | ['gnd:4017621-6', 'gnd:4179359-6'] | ['Flüssigkeit', 'Schallausbreitung'] | ['phy'] | [['Engineering—Data processing.', '(classificationName=ddc)620', '(classificationName=linseach:mapping)phy', '(classificationName=bk, id=10640752X)33.12 - Akustik', 'Mathematical physics.', 'Engineering mathematics.', '(classificationName=loc)QC19.2-20.85', 'Physics', '(classificationName=rvk)UF 6200', '(classificationName=rvk)SK 950', 'Mathematics.', '(classificationName=ddc)530.1']] | ['Sound Propagation in Stratified Fluids'] | [["Stratified fluids whose densities, sound speeds and other parameters are functions of a single depth coordinate occur widely in nature. Indeed, the earth's gravitational field imposes a stratification on its atmosphere, oceans and lakes. It is well known that their stratification has a profound effect on the propagation of sound in these fluids. The most striking effect is probably the occurrence of acoustic ducts, due to minima of the sound speed, that can trap sound waves and cause them to propagate hori\xad zontally. The reflection, transmission and distortion of sonar signals by acoustic ducts is important in interpreting sonar echoes. Signal scattering by layers of microscopic marine organisms is important to both sonar engi\xad neers and marine biologists. Again, reflection of signals from bottom sediment layers overlying a penetrable bottom are of interest both as sources of unwanted echoes and in the acoustic probing of such layers. Many other examples could be given. The purpose of this monograph is to develop from first principles a theory of sound propagation in stratified fluids whose densities and sound speeds are essentially arbitrary functions of the depth. In physical terms, the propagation of both time-harmonic and transient fields is analyzed. The corresponding mathematical model leads to the study of boundary value problems for a scalar wave equation whose coefficients contain the pre\xad scribed density and sound speed functions.", '1. Introduction -- 2. The Propagation Problems and Their Solutions -- 1. Summary -- 2. The Acoustic Propagator -- 3. Solutions with Finite Energy -- 3. Spectral Analysis of Sound Propagation in Stratified FluidS -- 1. Summary -- 2. The Reduced Propagator A? -- 3. Solutions of the Equation A?? = ?? -- 4. Spectral Properties of A? -- 5. Generalized Eigenfunctions of A? -- 6. The Spectral Family of A? -- 7. The Dispersion Relations -- 8. The Spectral Family of A -- 9. Normal Mode Expansions for A -- 10. Semi-Infinite and Finite Layers -- 4. Transient Sound Field Structure in Stratified Fluids -- 1. Summary -- 2. Normal Mode Expansions of Transient Sound Fields -- 3. Transient Free Waves -- 4. Transient Guided Waves -- 5. Asymptotic Energy Distributions -- 6. Semi-Infinite and Finite Layers -- 5. Scattering of Signals by Inhomogeneous Layers -- 1. Summary -- 2. Signals in Homogeneous Fluids -- 3. The Reflected and Transmitted Signals -- 4. Construction of the Scattering Operator -- 5. The Scattering Operator and Signal Structure -- Appendix 1. The Weyl-Kodaira-Titchmarsh Theory -- Appendix 2. Stationary Phase Estimates of Oscillatory Integrals with Parameters -- References.']] | ['gnd:4017621-6', 'gnd:4179359-6', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655415565'] | ['Flüssigkeit', 'Schallausbreitung'] | 22 | 9,945 |
3A1655415956.jsonld | ['gnd:4128192-5', 'gnd:4121428-6', 'gnd:4137036-3'] | ['Optimale Kontrolle', 'Nichtlineare Optimierung', 'Semiinfinite Optimierung'] | ['oek'] | [['(classificationName=bk, id=106417320)85.03 - Methoden und Techniken der Betriebswirtschaft', '(classificationName=linseach:mapping)oek', 'Systems theory', 'Calculus of variations.', '(classificationName=bk, id=106408194)31.76 - Numerische Mathematik', '(classificationName=msc)49-02', '(classificationName=bk, id=106407708)31.65 - Mannigfaltigkeiten, Zellkomplexe', '(classificationName=linseach:mapping)inf', '(classificationName=rvk)SK 870', 'Mathematical optimization', 'Mathematics', '(classificationName=rvk)QH 422', 'Operations research', '(classificationName=ddc)519.6', 'System theory.', '(classificationName=loc)QA402.3', '(classificationName=linseach:mapping)mat', '(classificationName=rvk)QH 420', '(classificationName=msc)90-02', 'Control theory.', '(classificationName=ddc)515.64', '(classificationName=msc)*90C30', '(classificationName=bk, id=106418122)54.51 - Programmiermethodik', '(classificationName=msc)65K05', '(classificationName=loc)QA402.5-QA402.6', '(classificationName=loc)QA315-316', '(classificationName=bk, id=106419005)31.80 - Angewandte Mathematik']] | ['Optimization : Algorithms and Consistent Approximations'] | [["Contents: Unconstrained Optimization -- Optimality Conditions -- Algorithm Models and Convergence Conditions I -- Gradient Methods -- Newton's Method -- Methods of Conjugate Directions -- Quasi-Newton Methods -- One Dimensional Optimization -- Newton's Method for Equations and Inequalities -- Finite Minimax and Constrained Optimization -- Optimality Conditions for Minimax -- Optimality Conditions for Constrained Optimization -- Algorithm Models and Convergence Conditions II -- First-Order Minimax Algorithms -- Newton's Method for Minimax Problems -- Phase I. Phase II Methods of Centers -- Penalty Function Algorithms -- An Augmented Lagrangian Method.", 'This book deals with optimality conditions, algorithms, and discretization tech\xad niques for nonlinear programming, semi-infinite optimization, and optimal con\xad trol problems. The unifying thread in the presentation consists of an abstract theory, within which optimality conditions are expressed in the form of zeros of optimality junctions, algorithms are characterized by point-to-set iteration maps, and all the numerical approximations required in the solution of semi-infinite optimization and optimal control problems are treated within the context of con\xad sistent approximations and algorithm implementation techniques. Traditionally, necessary optimality conditions for optimization problems are presented in Lagrange, F. John, or Karush-Kuhn-Tucker multiplier forms, with gradients used for smooth problems and subgradients for nonsmooth prob\xad lems. We present these classical optimality conditions and show that they are satisfied at a point if and only if this point is a zero of an upper semicontinuous optimality junction. The use of optimality functions has several advantages. First, optimality functions can be used in an abstract study of optimization algo\xad rithms. Second, many optimization algorithms can be shown to use search directions that are obtained in evaluating optimality functions, thus establishing a clear relationship between optimality conditions and algorithms. Third, estab\xad lishing optimality conditions for highly complex problems, such as optimal con\xad trol problems with control and trajectory constraints, is much easier in terms of optimality functions than in the classical manner. In addition, the relationship between optimality conditions for finite-dimensional problems and semi-infinite optimization and optimal control problems becomes transparent.']] | ['gnd:4121428-6', 'gnd:4128192-5', 'gnd:4137036-3', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655415956'] | ['Optimale Kontrolle', 'Nichtlineare Optimierung', 'Semiinfinite Optimierung'] | 19 | 9,946 |
3A1655415956.jsonld | ['gnd:4128192-5', 'gnd:4121428-6', 'gnd:4137036-3'] | ['Optimale Kontrolle', 'Nichtlineare Optimierung', 'Semiinfinite Optimierung'] | ['inf'] | [['(classificationName=bk, id=106417320)85.03 - Methoden und Techniken der Betriebswirtschaft', '(classificationName=linseach:mapping)oek', 'Systems theory', 'Calculus of variations.', '(classificationName=bk, id=106408194)31.76 - Numerische Mathematik', '(classificationName=msc)49-02', '(classificationName=bk, id=106407708)31.65 - Mannigfaltigkeiten, Zellkomplexe', '(classificationName=linseach:mapping)inf', '(classificationName=rvk)SK 870', 'Mathematical optimization', 'Mathematics', '(classificationName=rvk)QH 422', 'Operations research', '(classificationName=ddc)519.6', 'System theory.', '(classificationName=loc)QA402.3', '(classificationName=linseach:mapping)mat', '(classificationName=rvk)QH 420', '(classificationName=msc)90-02', 'Control theory.', '(classificationName=ddc)515.64', '(classificationName=msc)*90C30', '(classificationName=bk, id=106418122)54.51 - Programmiermethodik', '(classificationName=msc)65K05', '(classificationName=loc)QA402.5-QA402.6', '(classificationName=loc)QA315-316', '(classificationName=bk, id=106419005)31.80 - Angewandte Mathematik']] | ['Optimization : Algorithms and Consistent Approximations'] | [["Contents: Unconstrained Optimization -- Optimality Conditions -- Algorithm Models and Convergence Conditions I -- Gradient Methods -- Newton's Method -- Methods of Conjugate Directions -- Quasi-Newton Methods -- One Dimensional Optimization -- Newton's Method for Equations and Inequalities -- Finite Minimax and Constrained Optimization -- Optimality Conditions for Minimax -- Optimality Conditions for Constrained Optimization -- Algorithm Models and Convergence Conditions II -- First-Order Minimax Algorithms -- Newton's Method for Minimax Problems -- Phase I. Phase II Methods of Centers -- Penalty Function Algorithms -- An Augmented Lagrangian Method.", 'This book deals with optimality conditions, algorithms, and discretization tech\xad niques for nonlinear programming, semi-infinite optimization, and optimal con\xad trol problems. The unifying thread in the presentation consists of an abstract theory, within which optimality conditions are expressed in the form of zeros of optimality junctions, algorithms are characterized by point-to-set iteration maps, and all the numerical approximations required in the solution of semi-infinite optimization and optimal control problems are treated within the context of con\xad sistent approximations and algorithm implementation techniques. Traditionally, necessary optimality conditions for optimization problems are presented in Lagrange, F. John, or Karush-Kuhn-Tucker multiplier forms, with gradients used for smooth problems and subgradients for nonsmooth prob\xad lems. We present these classical optimality conditions and show that they are satisfied at a point if and only if this point is a zero of an upper semicontinuous optimality junction. The use of optimality functions has several advantages. First, optimality functions can be used in an abstract study of optimization algo\xad rithms. Second, many optimization algorithms can be shown to use search directions that are obtained in evaluating optimality functions, thus establishing a clear relationship between optimality conditions and algorithms. Third, estab\xad lishing optimality conditions for highly complex problems, such as optimal con\xad trol problems with control and trajectory constraints, is much easier in terms of optimality functions than in the classical manner. In addition, the relationship between optimality conditions for finite-dimensional problems and semi-infinite optimization and optimal control problems becomes transparent.']] | ['gnd:4121428-6', 'gnd:4128192-5', 'gnd:4137036-3', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655415956'] | ['Optimale Kontrolle', 'Nichtlineare Optimierung', 'Semiinfinite Optimierung'] | 11 | 9,947 |
3A1655415956.jsonld | ['gnd:4128192-5', 'gnd:4121428-6', 'gnd:4137036-3'] | ['Optimale Kontrolle', 'Nichtlineare Optimierung', 'Semiinfinite Optimierung'] | ['mat'] | [['(classificationName=bk, id=106417320)85.03 - Methoden und Techniken der Betriebswirtschaft', '(classificationName=linseach:mapping)oek', 'Systems theory', 'Calculus of variations.', '(classificationName=bk, id=106408194)31.76 - Numerische Mathematik', '(classificationName=msc)49-02', '(classificationName=bk, id=106407708)31.65 - Mannigfaltigkeiten, Zellkomplexe', '(classificationName=linseach:mapping)inf', '(classificationName=rvk)SK 870', 'Mathematical optimization', 'Mathematics', '(classificationName=rvk)QH 422', 'Operations research', '(classificationName=ddc)519.6', 'System theory.', '(classificationName=loc)QA402.3', '(classificationName=linseach:mapping)mat', '(classificationName=rvk)QH 420', '(classificationName=msc)90-02', 'Control theory.', '(classificationName=ddc)515.64', '(classificationName=msc)*90C30', '(classificationName=bk, id=106418122)54.51 - Programmiermethodik', '(classificationName=msc)65K05', '(classificationName=loc)QA402.5-QA402.6', '(classificationName=loc)QA315-316', '(classificationName=bk, id=106419005)31.80 - Angewandte Mathematik']] | ['Optimization : Algorithms and Consistent Approximations'] | [["Contents: Unconstrained Optimization -- Optimality Conditions -- Algorithm Models and Convergence Conditions I -- Gradient Methods -- Newton's Method -- Methods of Conjugate Directions -- Quasi-Newton Methods -- One Dimensional Optimization -- Newton's Method for Equations and Inequalities -- Finite Minimax and Constrained Optimization -- Optimality Conditions for Minimax -- Optimality Conditions for Constrained Optimization -- Algorithm Models and Convergence Conditions II -- First-Order Minimax Algorithms -- Newton's Method for Minimax Problems -- Phase I. Phase II Methods of Centers -- Penalty Function Algorithms -- An Augmented Lagrangian Method.", 'This book deals with optimality conditions, algorithms, and discretization tech\xad niques for nonlinear programming, semi-infinite optimization, and optimal con\xad trol problems. The unifying thread in the presentation consists of an abstract theory, within which optimality conditions are expressed in the form of zeros of optimality junctions, algorithms are characterized by point-to-set iteration maps, and all the numerical approximations required in the solution of semi-infinite optimization and optimal control problems are treated within the context of con\xad sistent approximations and algorithm implementation techniques. Traditionally, necessary optimality conditions for optimization problems are presented in Lagrange, F. John, or Karush-Kuhn-Tucker multiplier forms, with gradients used for smooth problems and subgradients for nonsmooth prob\xad lems. We present these classical optimality conditions and show that they are satisfied at a point if and only if this point is a zero of an upper semicontinuous optimality junction. The use of optimality functions has several advantages. First, optimality functions can be used in an abstract study of optimization algo\xad rithms. Second, many optimization algorithms can be shown to use search directions that are obtained in evaluating optimality functions, thus establishing a clear relationship between optimality conditions and algorithms. Third, estab\xad lishing optimality conditions for highly complex problems, such as optimal con\xad trol problems with control and trajectory constraints, is much easier in terms of optimality functions than in the classical manner. In addition, the relationship between optimality conditions for finite-dimensional problems and semi-infinite optimization and optimal control problems becomes transparent.']] | ['gnd:4121428-6', 'gnd:4128192-5', 'gnd:4137036-3', 'https://www.tib.eu/de/suchen/id/TIBKAT%3A1655415956'] | ['Optimale Kontrolle', 'Nichtlineare Optimierung', 'Semiinfinite Optimierung'] | 16 | 9,948 |
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