Elementary Number Theory in Nine Chapters

ISBN-13: 9780521850148 / Angielski / Twarda / 2005 / 444 str.

James J. Tattersall

Opis

Intended to serve as a one-semester introductory course in number theory, this second edition has been revised throughout. 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. In addition, a wealth of new exercises have been included to fully illustrate the properties of numbers and concepts developed in the text. The book will serve as a stimulating introduction for students new to number theory, regardless of their background. First Edition Hb (1999) 0-521-58503-1 First Edition Pb (1999) 0-521-58531-7

Recenzje

'In the second edition the author updated information on several conjectures and open problems, made certain corrections and added almost 400 new exercises.' Zentralblatt MATH

Spis treści

1. The intriguing natural numbers; 2. Divisibility; 3. Prime numbers; 4. Perfect and amicable numbers; 5. Modular arithmetic; 6. Congruences of higher degree; 7. Cryptography; 8. Representations; 9. Partitions; Tables; Answers to selected exercises; Bibliography.