Invitation to Number Theory

Øystein Øre

doi:10.5948/UPO9780883859605

Number theory has been instrumental in introducing many of the most distinguished mathematicians, 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 numbers 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.

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Invitation to Number Theory

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Contents

Frontmatter
pp i-vi

Contents
pp vii-viii

INVITATION TO NUMBER THEORY
pp ix-x

Chapter 1 - Introduction
pp 1-14

Chapter 2 - Primes
pp 15-26

Chapter 3 - Divisors of Numbers
pp 27-38

Chapter 4 - Greatest Common Divisor and Least Common Multiple
pp 39-48

Chapter 5 - The Pythagorean Problem
pp 49-62

Chapter 6 - Numeration Systems
pp 63-82

Chapter 7 - Congruences
pp 83-96

Chapter 8 - Some Applications of Congruences
pp 97-112

Solutions to Selected Problems
pp 113-124

References
pp 125-126

Index
pp 127-129

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