Description
Book SynopsisNow into its eighth edition and with additional material on primality testing written by J. H. Davenport, The Higher Arithmetic introduces concepts and theorems in a way that does not assume an in-depth knowledge of the theory of numbers but touches upon matters of deep mathematical significance.
Trade Review'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
Table of ContentsIntroduction; 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.
