Local Fields by J. W. S. Cassels
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Local Fields
By J. W. S. Cassels

Local Fields

By (author) See other recent books by J. W. S. Cassels
Series edited by J. Bruce See other recent books by J. Bruce
Format: Paperback

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Local Fields by J. W. S. Cassels

Book 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.

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Book Details

ISBN: 9780521315258
ISBN-10: 0521315255
Format: Paperback
(228mm x 152mm x 21mm)
Pages: 376
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 21-Aug-1986
Country of Publication: United Kingdom

Other Editions...


Books By Author J. W. S. Cassels

Rational Quadratic Forms by J. W. S. Cassels Rational Quadratic Forms, Paperback (October 2008)

Exploration of quadratic forms over rational numbers and rational integers offers elementary introduction. Covers quadratic forms over local fields, forms with integral coefficients, reduction theory for definite forms, more. 1968 edition.

Transcendental Aspects of Algebraic Cycles by J. W. S. Cassels Transcendental Aspects of Algebraic Cycles, Paperback (April 2004)

Lecture notes for graduates or researchers wishing to enter this modern field of research.

Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2 by J. W. S. Cassels Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2, Paperback (April 1996)

A unique insight into the topic of curves of genus 2, by two of the world's leading practitioners.

Geometric Group Theory by J. W. S. Cassels Geometric Group Theory, Paperback (August 1993)

For anyone whose interest lies in the interplay between groups and geometry, these books will be an essential addition to their library.

» View all books by J. W. S. Cassels

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Recent books by J. W. S. Cassels close
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