Rational Quadratic Forms

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.

Author: J. W. S. Cassels
Binding Type: Paperback
Publisher: Dover Publications
Published: 08/08/2008
Series: Dover Books on Mathematics
Pages: 432
Weight: 0.98lbs
Size: 8.49h x 5.47w x 0.88d
ISBN: 9780486466705
Language: English

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