Elementary Number Theory in Nine Chapters
This textbook is intended to serve as a one-semester introductory course in number theory and in this second edition it has been revised throughout and many new exercises have been added. Historical perspective is included 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.
- In this new edition a wealth of exercises have been included to illustrate the properties of numbers and concepts developed in the text
- The heart of this book contains the major number theoretic accomplishments of Euclid, Fermat, Gauss, Legendre, and Euler
- A historical perspective has been adopted and some of the subject's applied aspects - in particular, the field of cryptography, has been highlighted
Reviews & endorsements
'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
Product details
June 2005Hardback
9780521850148
444 pages
229 × 152 × 29 mm
0.835kg
20 tables 200 exercises
Available
Table of Contents
- 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.