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.

Book Information
ISBN 9780817632458
Author Titu Andreescu
Format Hardback
Page Count 384
Imprint Birkhauser Boston Inc
Publisher Birkhauser Boston Inc
Weight(grams) 770g