**By Titu Andreescu Dorin Andrica,**

__Number Theory: Structures, Examples, and Problems__

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 andThis 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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Despite the introductory lessons at the beginning of the chapters, this is of a Sudoku compilation of problems than a textbook So, good selection of exercises, if heterogeneous.

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