Number Theory: Structures, Examples, and Problems
by Titu Andreescu
2021-06-05 01:28:29
Number Theory: Structures, Examples, and Problems
by Titu Andreescu
2021-06-05 01:28:29
One of the oldest, liveliest branches of mathematics, number theory is noted for its theoretical depth and applications to other fields, includingrepresentation theory, physics, and cryptography. The forefront of number theory is replete with sophist...
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One of the oldest, liveliest branches of mathematics, number theory is noted for its theoretical depth and applications to other fields, includingrepresentation theory, physics, and cryptography. The forefront of number theory is replete with sophisticated and famous open problems; at its foundation, however, are basic, elementary ideas that can stimulate and challenge beginning students. This introductory textbook takes a problem-solving approach to number theory, situating each concept within the framework of an example or a problem for readers to solve. 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, special sequences, and problems of density.
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