Number Theory Structures Examples And Problems Pdf

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Number Theory

Author: Titu Andreescu
language: en
Publisher: Springer Science & Business Media
Release Date: 2009-06-12
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.
250 Problems in Elementary Number Theory

Author: Wacław Sierpiński
language: en
Publisher: Elsevier Publishing Company
Release Date: 1970
Solved and Unsolved Problems in Number Theory

Author: Daniel Shanks
language: en
Publisher: American Mathematical Society
Release Date: 2024-01-24
The investigation of three problems, perfect numbers, periodic decimals, and Pythagorean numbers, has given rise to much of elementary number theory. In this book, Daniel Shanks, past editor of Mathematics of Computation, shows how each result leads to further results and conjectures. The outcome is a most exciting and unusual treatment. This edition contains a new chapter presenting research done between 1962 and 1978, emphasizing results that were achieved with the help of computers.