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msc:notes:number_theory_by_anwar_khan [2021/02/07 16:49] – created - external edit 127.0.0.1 | msc:notes:number_theory_by_anwar_khan [2023/08/05 19:06] (current) – removed Administrator | ||
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- | ====== Number Theory: Notes by Anwar Khan ====== | ||
- | These notes are in two part. One is " | ||
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- | ^ Name |Number Theory: Notes | | ||
- | ^ Author | ||
- | ^ Pages |219 pages | | ||
- | ^ Format | ||
- | ^ Size |4.5 mB | | ||
- | < | ||
- | </ | ||
- | </ | ||
- | ====CONTENTS OR SUMMARY: | ||
- | <WRAP half column> | ||
- | * Number Theory | ||
- | * Divisibility | ||
- | * Euclid’s Theorem | ||
- | * Base of Radix Representation | ||
- | * Common Division | ||
- | * Method of finding great common divisor | ||
- | * G.C.D. more than two integers | ||
- | * Least Common Multiple | ||
- | * The Linear Diophantine Equation | ||
- | </ | ||
- | <WRAP half column> | ||
- | * Theory of Primes | ||
- | * Composite Number | ||
- | * Prime Divisor | ||
- | * Congruence | ||
- | * Complete Residue System | ||
- | * Solutions of the Congruence | ||
- | * Perfect Number | ||
- | * Reduce residue System | ||
- | * Quadratic residue | ||
- | * Arithmetic Function | ||
- | </ | ||
- | ==== Download or View online ==== | ||
- | <WRAP center round download 66%> | ||
- | \\ | ||
- | **[[pdf> | ||
- | </ | ||
- | ====== Algebraic Number Theory: Notes by Anwar Khan ====== | ||
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- | ^ Name |Algebraic Number Theory: Notes | | ||
- | ^ Author | ||
- | ^ Pages |110 pages | | ||
- | ^ Format | ||
- | ^ Size |2.8 mB | | ||
- | < | ||
- | </ | ||
- | </ | ||
- | ====CONTENTS OR SUMMARY: | ||
- | <WRAP half column> | ||
- | * Algebraic Number Theory \dotfill 1 | ||
- | * Diophantine Equation and Fermat’s Conjecture \dotfill 2 | ||
- | * Polynomial over the Rational \dotfill 10 | ||
- | * Degree of Polynomial | ||
- | * Monic Polynomial | ||
- | * Division of Polynomial | ||
- | * Irreducible Polynomial | ||
- | * Division Algorithm | ||
- | * Greatest Common Divisor | ||
- | * Algebraic Number | ||
- | * Degree of Algebraic Number | ||
- | * Minimal Polynomial | ||
- | * Conjugates of an Algebraic Number | ||
- | * Primitive Polynomial | ||
- | * Product of Polynomial | ||
- | * Symmetric Polynomial | ||
- | * Alternative Statement | ||
- | * Primitive Element | ||
- | * Eisenstein’s Irreducibility | ||
- | </ | ||
- | <WRAP half column> | ||
- | * Algebraic Integer | ||
- | * The Determinant | ||
- | * Euclidian Domain | ||
- | * Quadratic Field | ||
- | * Square Free Rational Integer | ||
- | * Prime | ||
- | * Ideal | ||
- | * Principal Ideal | ||
- | * Congruence of an Ideal | ||
- | * Norm f an Ideal | ||
- | * Decrement | ||
- | * Units and Primes in $\mathbb{R}$ | ||
- | * Unique Factorization Domain | ||
- | * Arithmetic of an Ideal | ||
- | * Prime Ideal | ||
- | * Equivalent Ideal | ||
- | * Cyclotomic Field KP | ||
- | * Pure Cubic Field | ||
- | </ | ||
- | |||
- | ==== Download or View online ==== | ||
- | <WRAP center round download 66%> | ||
- | \\ | ||
- | **[[pdf> | ||
- | </ | ||
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- | {{tag> |