Number Theory: Structures, Examples, and Problems

Number Theory: Structures, Examples, and Problems
ISBN-10
0817646450
ISBN-13
9780817646455
Series
Number Theory
Category
Mathematics
Pages
384
Language
English
Published
2009-06-12
Publisher
Springer Science & Business Media
Authors
Titu Andreescu, Dorin Andrica

Description

This introductory textbook takes a problem-solving approach to number theory, situating each concept within the framework of an example or a problem for solving. Starting with the essentials, the text covers divisibility, unique factorization, modular arithmetic and the Chinese Remainder Theorem, Diophantine equations, binomial coefficients, Fermat and Mersenne primes and other special numbers, and special sequences. Included are sections on mathematical induction and the pigeonhole principle, as well as a discussion of other number systems. By emphasizing examples and applications the authors motivate and engage readers.

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