Local Fields (London Mathematical Society Student Texts) (Paperback)

~ (Author) "These are generalizations of the ordinary absolute value on the field C of complex numbers..." (more)
Key Phrases: first degree extension, field with valuation, convex body theorem, Chinese Remainder Theorem, Hint Exercise, Hint Use (more...)

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Product Description

The p-adic numbers, the earliest of local fields, were introduced by Hensel some 70 years ago as a natural tool in algebra number theory. Today the use of this and other local fields pervades much of mathematics, yet these simple and natural concepts, which often provide remarkably easy solutions to complex problems, are not as familiar as they should be. This book, based on postgraduate lectures at Cambridge, is meant to rectify this situation by providing a fairly elementary and self-contained introduction to local fields. After a general introduction, attention centres on the p-adic numbers and their use in number theory. There follow chapters on algebraic number theory, diophantine equations and on the analysis of a p-adic variable. This book will appeal to undergraduates, and even amateurs, interested in number theory, as well as to graduate students.

Book Description

Provides a self-contained introduction at the post-graduate level in number theory or algebra. After a general introduction the book focuses on p-adic numbers and their use in the theory of numbers. There are also chapters on algebraic number theory, on diophantine equations and on the analysis of a p-adic variable.

Product Details

• Paperback: 376 pages
• Publisher: Cambridge University Press (August 29, 1986)
• Language: English
• ISBN-10: 0521315255
• ISBN-13: 978-0521315258
• Product Dimensions: 8.8 x 6 x 1 inches
• Shipping Weight: 1.2 pounds (View shipping rates and policies)
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• Amazon.com Sales Rank: #1,362,300 in Books (See Bestsellers in Books)