p-adic Numbers: An Introduction

Gouvea, Fernando Q.

ISBN 10: 3540568441 / ISBN 13: 9783540568445

Published by Springer-Verlag, Berlin, 1993

About this Item

8vo; 282 pages.

Seller Inventory # 28357

Bibliographic Details

• Title: p-adic Numbers: An Introduction
• Publisher: Springer-Verlag, Berlin
• Publication Date: 1993
• Language: English
• ISBN 10: 3540568441
• ISBN 13: 9783540568445
• Binding: Softcover
• Condition: Very Good
• Dust Jacket Condition: No Dust Jacket

About this title

Synopsis

p-adic numbers are of great theoretical importance in number theory, since they allow the use of the language of analysis to study problems relating to prime numbers and diophantine equations. Further, they offer a realm where one can do things that are very similar to classical analysis, but with results that are quite unusual. The book should be of use to students interested in number theory, but at the sametime offers an interesting example of the many connections between different parts of mathematics. The book strives to be understandable to an undergraduate audience. Very little background has been assumed, and the presentation is leisurely. There are many problems, which should help readers who are working on their own (a large appendix with hints on the problems is included). Most of all, the book should offer undergraduates exposure to some interesting mathematics which is off the beaten track. Those who will later specialize in number theory, algebraic geometry, and related subjects will benefit more directly, but all mathematics students can enjoy the book.