This text provides a detailed introduction to number theory, demonstrating how other areas of mathematics enter into the study of the properties of natural numbers. It contains problem sets within each section and at the end of each chapter to reinforce essential concepts, and includes up-to-date information on divisibility problems, polynomial congruence, the sums of squares and trigonometric sums.;Five or more copies may be ordered by college or university bookstores at a special price, available on application.

chapter |3 pages

A Historical Introduction

chapter Chapter One|47 pages

Primes and Divisibility

chapter Chapter Two|95 pages


chapter Chapter Three|46 pages

Quadratic Residues

chapter Chapter Four|79 pages

Approximation of Real Numbers

chapter Chapter Five|26 pages

Diophantine Equations, I

chapter Chapter Six|97 pages

Diophantine Equations, II

chapter Chapter Seven|109 pages

Arithmetic Functions

chapter Chapter Eight|62 pages

The Average Order of Arithmetic Functions

chapter Chapter Nine|67 pages

Prime Number Theory

chapter Chapter Ten|83 pages

An Introduction to Algebraic Number Theory