Rational Quadratic Forms (Paperback)

This exploration of quadratic forms over rational numbers and rational integers offers an excellent elementary introduction to many aspects of a classical subject, including recent developments. The author, a Professor Emeritus at Trinity College, University of Cambridge, offers a largely self-contained treatment that develops most of the prerequisites.Topics include the theory of quadratic forms over local fields, forms with integral coefficients, genera and spinor genera, reduction theory for definite forms, and Gauss' composition theory. The final chapter explains how to formulate the proofs in earlier chapters independently of Dirichlet's theorems related to the existence of primes in arithmetic progressions. Specialists will particularly value the several helpful appendixes on class numbers, Siegel's formulas, Tamagawa numbers, and other topics. Each chapter concludes with many exercises and hints, plus notes that include historical remarks and references to the literature.

General

Imprint:	Dover Publications Inc.
Country of origin:	United States
Series:	Dover Books on Mathematics
Release date:	October 2008
First published:	August 2008
Authors:	J. W. S. Cassels
Dimensions:	216 x 139 x 22mm (L x W x T)
Format:	Paperback - Trade
Pages:	413
ISBN-13:	978-0-486-46670-5
Categories:	Books > Science & Mathematics > Mathematics > Algebra > General Books > Science & Mathematics > Mathematics > Number theory > General
LSN:	0-486-46670-1
Barcode:	9780486466705

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