Updated in a seventh edition, The Higher Arithmetic introduces concepts and theorems in a way that does not require the reader to have an in-depth knowledge of the theory of numbers, but still touches upon matters of deep mathematical significance.
• Seventh edition brings this classic right up to date • Includes state of the art material on the uses of computers in number theory • Takes full account of the proving of Fermat’s last theorem
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 the theory of numbers; Exercises; Hints; Answers; Bibliography; Index.
Reviews
‘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
‘… much enjoyable and profitable reading …’ L’Enseignement Mathématique
‘… the seventh edition of the well-known and charming introduction to number theory … it can be recommended both for independent study and as a reference text for a general mathematical audience.’ European Maths Society Journal
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