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Local Fields by J. W. S. Cassels
Book DescriptionThe 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 DetailsISBN: 9780521315258
(228mm x 152mm x 21mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 21-Aug-1986
Country of Publication: United Kingdom
Books By Author 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, 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, 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, Paperback (August 1993)» View all books by J. W. S. Cassels
For anyone whose interest lies in the interplay between groups and geometry, these books will be an essential addition to their library.
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