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Elementary Number Theory
by Burton
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715.00
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Elementary Number Theory, Seventh Edition, is written for undergraduate number theory course taken by math majors, secondary education majors, and computer science students. This contemporary text provides a simple account of classical number theory, set against a historical background that shows the subject`s evolution from antiquity to recent research. Written in David Burton`s engaging style, Elementary Number Theory reveals the attraction that has drawn leading mathematicians and amateurs alike to number theory over the course of history.
About the Author
David M. Burton University of New Hampshire
Table of Contents
1 Preliminaries
1.1 Mathematical Induction
1.2 The Binomial Theorem
2 Divisibility Theory in the Integers
2.1 Early Number Theory
2.2 The Division Algorithm
2.3 The Greatest Common Divisor
2.4 The Euclidean Algorithm
2.5 The Diophantine Equation
3 Primes and Their Distribution
3.1 The Fundamental Theorem of Arithmetic
3.2 The Sieve of Eratosthenes
3.3 The Goldbach Conjecture
4 The Theory of Congruences
4.1 Carl Friedrich Gauss
4.2 Basic Properties of Congruence
4.3 Binary and Decimal Representations of Integers
4.4 Linear Congruences and the Chinese Remainder Theorem
5 Fermat`s Theorem isbn 9781259025761
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