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What is Invitation to Number Theory (New Mathematical Library, 20) about?

Number theory has been instrumental in introducing many of the most distinguished mathematicains, past and present, to the charms and mysteries of mathematical research. The purpose of this simple little guide will have been achieved if it should lead some of its readers to appreciate why the properties of nubers can be so fascinating. It would be better still if it would induce you to try to find some number relations of your own; new curiosities devised by young people turn up every year. In any case, you will become familiar with some of the special mathematical concepts and methods used in number theory and will be prepared to embark upon the study of the more advanced books in its rich literature. Contents 1. Introduction History Numerology The Pythagorean problem Figurate numbers Magic squares 2. Primes Primes and composite numbers Mersenne primes Fermat primes The sieve of Eratosthenes 3. Divisors of numbers Fundamental factorization theorem Divisors Problems concerning divisors Perfect numbers Amicable numbers 4. Greatest common divisor and least common multiple Greatest common divisor Relatively prime numbers Euclids algorithm Least common multiple 5. The Pythagorean probl

Author

Oystein Ore

Publisher

published and distributed by The American Mathematical Society

Published

2017

Language

EN

ISBN

9780883856208