Elementary Number Theory in Nine Chapters

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Cambridge University Press, Oct 14, 1999 - Mathematics - 407 pages
This book is intended to serve as a one-semester introductory course in number theory. Throughout the book a historical perspective has been adopted and emphasis is given to some of the subject's applied aspects; in particular the field of cryptography is highlighted. At the heart of the book are the major number theoretic accomplishments of Euclid, Fermat, Gauss, Legendre, and Euler, and to fully illustrate the properties of numbers and concepts developed in the text, a wealth of exercises have been included. It is assumed that the reader will have 'pencil in hand' and ready access to a calculator or computer. For students new to number theory, whatever their background, this is a stimulating and entertaining introduction to the subject.
 

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phi function

Contents

Divisibility
49
Prime numbers
79
Perfect and amicable numbers
127
Modular arithmetic
150
Congruences of higher degree
182
Cryptology
210
Representations
239
Partitions
284
Tables
305
The values of tn gn n un wan
312
Bibliography
390
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