Rational Quadratic Forms - Brossura

Cassels, J. W. S.

Brossura

ISBN 10: 0486466701 ISBN 13: 9780486466705

Casa editrice: Dover Pubns, 2008

Riassunto

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.

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Product Description

This exploration of quadratic forms over rational numbers and rational integers offers an elementary introduction that includes recent developments. 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. 1968 edition.

Dettagli dell'edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2008
• Lingua: Inglese
• ISBN 10: 0486466701
• ISBN 13: 9780486466705
• Rilegatura: Copertina flessibile
• Numero di pagine: 413
• Contatto del produttore: non disponibile
• Persona responsabile: Soc. Agr. La Raia Ss; http://www.la-raia.it; ; Strada Monterotondo, 79; Novi Ligure; 15067; Italia