The Higher Arithmetic
The Higher Arithmetic
$71.99
USDThe theory of numbers is generally considered to be the 'purest' branch of pure mathematics and demands exactness of thought and exposition from its devotees. It is also one of the most highly active and engaging areas of mathematics. Now into its eighth edition The Higher Arithmetic introduces the concepts and theorems of number theory in a way that does not require the reader to have an in-depth knowledge of the theory of numbers but also touches upon matters of deep mathematical significance. Since earlier editions, additional material written by J. H. Davenport has been added, on topics such as Wiles' proof of Fermat's Last Theorem, computers and number theory, and primality testing. Written to be accessible to the general reader, with only high school mathematics as prerequisite, this classic book is also ideal for undergraduate courses on number theory, and covers all the necessary material clearly and succinctly.
- Eighth edition brings this classic right up to date
- Includes state-of-the-art material on primality testing and the uses of computers in number theory
- Companion website (www.cambridge.org/davenport) provides more details of the latest advances and sample code for important algorithms
Reviews & endorsements
'Although this book is not written as a textbook but rather as a work for the general reader, it could certainly be used as a textbook for an undergraduate course in number theory and, in the reviewer's opinion, is far superior for this purpose to any other book in English.' From a review of the first edition in Bulletin of the American Mathematical Society
'… the well-known and charming introduction to number theory … can be recommended both for independent study and as a reference text for a general mathematical audience.' European Maths Society Journal
'Its popularity is based on a very readable style of exposition.' EMS Newsletter
Product details
December 2008Adobe eBook Reader
9780511451447
0 pages
0kg
3 tables 150 exercises
This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
- Introduction
- 1. Factorization and the primes
- 2. Congruences
- 3. Quadratic residues
- 4. Continued fractions
- 5. Sums of squares
- 6. Quadratic forms
- 7. Some Diophantine equations
- 8. Computers and number theory
- Exercises
- Hints
- Answers
- Bibliography
- Index
- Additional notes.
