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# B S TRACI
## ALGEBRA
## THIRD EDITION
## DAVID S. DUMMIT
## RICHARD M. FOOTE
# Frequently Used Notation
| $f^{-1}(A)$ | the inverse image or preimage of $A$ under $f$ |
| :--: | :--: |
| $a \mid b$ | $a$ divides $b$ |
| $(a, b)$ | the greatest common divisor of $a, b$ also the ideal generated by $a, b$ |
| $\|... | Abstract Algebra, 3rd Edition (David S. Dummit, Richard M. Foote) (Z-Library) (converted to markdown via Mistral OCR) |
## ALGEBRA
## Arithmetic Operations
$a(b+c)=a b+a c$
$\frac{a}{b}+\frac{c}{d}=\frac{a d+b c}{b d}$
$\frac{a+c}{b}=\frac{a}{b}+\frac{c}{b}$
$\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a}{b} \times \frac{d}{c}=\frac{a d}{b c}$
## Exponents and Radicals
$x^{m} x^{n}=x^{m+n}$
$\left(x^{m}\right)^{n}=x^{m n}$
... | Calculus Early Transcendentals, 7th Edition (James Stewart) (Z-Library) (converted to markdown via Mistral OCR) |
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