A Course in Number Theory (Oxford Science Publications) - Couverture souple

Rose, H. E.

Couverture souple

ISBN 10 : 0198523769 ISBN 13 : 9780198523765

Editeur : Oxford University Press, 1998

Synopsis

This textbook covers with the main topics in number theory as taught in universities throughout the world. Number theory deals mainly with properties of integers and rational numbers; it is not an organized theory in the usual sense, but a vast collection of individual topics and results, with some coherent sub-theories and a long list of unsolved problems. Nine main areas of the subject are treated: (i) divisibility and multiplicative functions; (ii) congruences and quadratic residues; (iii) the basics of algebraic numbers and sums of squares; (iv) continued fractions, diophantine approximations and transcendence; (v) quadratic forms; (vi) partitions; (vii) the prime numbers; (viii) diophantine equations; and (ix) elliptic curves (this part has been considerably extended for this edition). The increased use of computers in number theory is reflected in many sections (with much greater emphasis in this edition). Some results of a more advanced nature are also given, including the Gelfond-Schneider theorem, the prime number theorem, and the Mordell-Weil theorem. The latest work on fermat's last theorem is also breifly discussed. Each chapter ends with a collection of problems; hints or sketch solutions are given at the end of the book, together with various useful tables.

A propos du livre

Présentation de l'éditeur

The second edition of this undergraduate textbook is now available in paperback. Covering up-to-date as well as established material, it is the only textbook which deals with all the main areas of number theory, taught in the third year of a mathematics course. Each chapter ends with a collection of problems, and hints and sketch solutions are provided at the end of the book, together with useful tables.

Revue de presse

It is of interest both to students and teachers working in this field. (EMS Newsletter, No. 21, 1996)

An extremely demanding text for undergraduates, but well-suited for a mathematician who wants to learn some number theory. (American Mathematical Monthly)

Détails de l'édition

• Éditeur: Oxford University Press
• Date d'édition: 1998
• Langue: anglais
• ISBN 10: 0198523769
• ISBN 13: 9780198523765
• Reliure: Broché
• Numéro d'édition: 2
• Nombre de pages: 416
• Coordonnées du fabricant: non disponible