A Course in Number Theory (Paperback)

Rose

ISBN 10: 0198523769 / ISBN 13: 9780198523765

Published by Oxford University Press, Oxford, 1995

About this Item

Paperback. 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) congruencesand 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 endswith a collection of problems; hints or sketch solutions are given at the end of the book, together with various useful tables. A new edition of this classic textbook, this book is the only publication which covers all the main areas of number theory, including up-to-date as well as established material. The increased use of computers in mathematics is reflected in the text, and each chapter ends with a collection of problems, with hints or sketch solutions provided at the end of the book together with useful tables. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9780198523765

Bibliographic Details

• Title: A Course in Number Theory (Paperback)
• Publisher: Oxford University Press, Oxford
• Publication Date: 1995
• Language: English
• ISBN 10: 0198523769
• ISBN 13: 9780198523765
• Binding: Paperback
• Edition: 2nd Edition
• Condition: new

About this title

Synopsis

Perfect for students approaching the subject for the first time, this book offers a superb overview of number theory. Now in its second edition, it has been thoroughly updated to feature up-to-the-minute treatments of key research, such as the most recent work on Fermat's coast theorem. Topics include divisibility and multiplicative functions, congruences and quadratic resolves, the basics of algebraic numbers and sums of squares, continued fractions, diophantine approximations and transcendence, quadratic forms, partitions, the prime numbers, diophantine equations, and elliptic curves. More advanced subjects such as the Gelfond-Schneider, prime number, and Mordell-Weil theorems are included as well. Each chapter contains numerous problems and solutions.

About the Author

H. E. Rose is at University of Bristol.