Ebook: An Introduction to the Theory of Numbers

[Cover text]

THIS INTRODUCTION TO THE THEORY OF NUMBERS PLACES SPECIAL EMPHASIS ON BASIC CONCEPTS AND VARIETY OF TREATMENT THROUGHOUT. Its variety of approaches and methods is designed to show the richness of the theory of numbers.

The author emphasizes that theory can not be fully understood until it can be effectively applied. Accordingly, the book provides more than the usual number at exercises and problems.

Detailed exposition in the early chapters, especially in the first three, also aids understanding. The book includes many illustrative examples worked out in detail to reinforce the theory presented. It frequently gives several alternative methods of proof.

A series of Notes on each chapter covers (1) reference to additional material, (2) detailed proofs by mathematical induction, and (3) discussion of interesting sidelights.

RALPH G. AHCHIBALD (Ph. D, University of Chicago) is Professor of Mathematics at Queens College of the City University of New York. He has published a number of papers in mathematical journals in the United States and Canada.