A Course in Number Theory (Paperback)

Language: English

Published by Oxford University Press, Oxford, 1995

0198523769 / 9780198523765

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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. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9780198523765

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

Grand Eagle Retail

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