Elementary Number Theory
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Digital PDF Mathematics

Elementary Number Theory

by David M. Burton

ISBN 9780073383149
Language English
Published 2002
Access Online read only

Description

Elementary Number Theory introduces the fundamental concepts and methods of number theory, with an emphasis on integers and their arithmetic properties. The book develops topics including divisibility, prime numbers, greatest common divisors, congruences, Diophantine equations, quadratic residues, continued fractions, and arithmetic functions. It also examines selected applications and introduces important results and techniques that form the foundation of more advanced study in number theory. Through definitions, theorems, proofs, examples, and exercises, the book develops rigorous mathematical reasoning while maintaining an accessible approach to the subject. It is a useful resource for students studying number theory, discrete mathematics, and related areas of mathematics and computer science.

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