Number Theory An Introduction to Pure and Applied Mathematics [Hardcover]

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.An historical introduction; congruences; quadratic residues; approximation of real numbers; diophantine equations I; diophantine equations II; arithmetic functions; the average order of arithmetic functions; prime number theory; an introduction to algebraic number theory.