A Course in Number Theory - Couverture rigide

Rose, H. E.

Couverture rigide

ISBN 10 : 0198532628 ISBN 13 : 9780198532620

Editeur : Clarendon Press, 1988

Synopsis

This textbook deals with the central topics in number theory as taught in universities throughout the world. Number theory is not an organized theory in the usual sense but a vast collection of individual topics and results, with some coherent subtheories and a long list of unsolved problems. Excluding topics which rely heavily on more advanced complex analysis and algebraic number theory this book considers eight central areas: divisibility and multiplicative functions; congruences and quadratic residues; an introduction to algebraic numbers and sums of squares; continued fractions, diophantine approximation and transducence; quadratic forms; partitions; the prime numbers; diophantine equations and elliptic curves. Some more advanced results are also given including the Gelfond-Schneider theorem, the prime number theorem and the Mordell-Weil theorem. Each chapter ends with a collection of problems; hints or sketch solutions are given at the back of the book together with various 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: Clarendon Press
• Date d'édition: 1988
• Langue: anglais
• ISBN 10: 0198532628
• ISBN 13: 9780198532620
• Reliure: Relié
• Nombre de pages: 364
• Coordonnées du fabricant: non disponible
• Personne responsable: Messaggerie Libri; ufficio.anagrafiche@meli.it; ; Via Verdi, 8; Assago Milano; Italie