Elementary Number Theory in Nine Chapters
Elementary Number Theory in Nine Chapters
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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
"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
- Published: July 2005
- Format: Hardback
- ISBN: 9780521850148
- Length: 444 pages
- Dimensions: 236 × 159 × 30 mm
- Weight: 0.835kg
- Contains: 20 tables 200 exercises
- Availability: 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.
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