Elementary Number Theory in Nine Chapters
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
- 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
"Every chapter has a remarkable collection of exercises of various degrees of difficulty and contains a wealth of historical information, which makes interesting reading."
Mathematical Reviews
The book is easy to read...The feature of the book that pleased me the most is the number of problems that are included. Not only does each section end with a large selection of problems, but each chapter also carries a number of supplementary exercises.
Michele Intermont, MAA Reviews, MathDL
Product details
September 2005Adobe eBook Reader
9780511123870
0 pages
0kg
20 tables 200 exercises
This ISBN is for an eBook version which is distributed on our behalf by a third party.
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.