Rational Quadratic Forms (Dover Books on Mathematics) - Softcover

Cassels, J. W. S.

Softcover

ISBN 10: 0486466701 ISBN 13: 9780486466705

Verlag: Dover Publications Inc., 2008

Inhaltsangabe

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.

Details zur Ausgabe

• Verlag: Dover Publications Inc.
• Erscheinungsdatum: 2008
• Sprache: Englisch
• ISBN 10: 0486466701
• ISBN 13: 9780486466705
• Einband: Taschenbuch
• Anzahl der Seiten: 413
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Soc. Agr. La Raia Ss; http://www.la-raia.it; ; Strada Monterotondo, 79; Novi Ligure; 15067; Italien