Elements of Number Theory (Undergraduate Texts in Mathematics) - Softcover

Stillwell, John

 
9781441930668: Elements of Number Theory (Undergraduate Texts in Mathematics)
Softcover
ISBN 10: 1441930663 ISBN 13: 9781441930668
Publisher: Springer, 2010

Synopsis

This book is a concise introduction to number theory and some related algebra, with an emphasis on solving equations in integers. This is the only elementary number theory book that includes significant applications of ideal theory. It is clearly written, well illustrated, and supplied with carefully designed exercises, making it a pleasure to use as an undergraduate textbook or for independent study.

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From the Back Cover

 This book is a concise introduction to number theory and some related algebra, with an emphasis on solving equations in integers. Finding integer solutions led to two fundamental ideas of number theory in ancient times - the Euclidean algorithm and unique prime factorization - and in modern times to two fundamental ideas of algebra - rings and ideals.

The development of these ideas, and the transition from ancient to modern, is the main theme of the book. The historical development has been followed where it helps to motivate the introduction of new concepts, but modern proofs have been used where they are simpler, more natural, or more interesting. These include some that have not yet appeared in textbooks, such as a treatment of the Pell equation using Conway's theory of quadratic forms. Also, this is the only elementary number theory book that includes significant applications of ideal theory. It is clearly written, well illustrated, and supplied with carefully designed exercises, making it a pleasure to use as an undergraduate textbook or for independent study.

John Stillwell is Professor of Mathematics at the University of San Francisco. He is the author of several highly regarded books published by Springer-Verlag, including Mathematics and Its History (Second Edition 2001), Numbers and Geometry (1997) and Elements of Algebra (1994).

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Publisher
Springer
Publication date
2010
Language
English
ISBN 10 
1441930663
ISBN 13 
9781441930668
Binding
Paperback
Number of pages
268

Other Popular Editions of the Same Title

9780387955872: Elements of Number Theory (Undergraduate Texts in Mathematics)

Featured Edition

ISBN 10:  0387955879 ISBN 13:  9780387955872
Publisher: Springer, 2002
Hardcover