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Rational Quadratic Forms

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Rational Quadratic Forms Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

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.

Synopsis:

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.

Product Details

ISBN:
9780486466705
Author:
Cassels, J. W. S.
Publisher:
Dover Publications
Author:
Mathematics
Subject:
Algebra - Elementary
Subject:
Forms, quadratic
Subject:
Number Theory
Subject:
Algebra - General
Subject:
Mathematics-Number Theory
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Publication Date:
20080831
Binding:
TRADE PAPER
Language:
English
Illustrations:
Y
Pages:
432
Dimensions:
8.5 x 5.38 in 1.05 lb

Related Subjects


Reference » General
Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Group Theory
Science and Mathematics » Mathematics » Number Theory

Rational Quadratic Forms New Trade Paper
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Product details 432 pages Dover Publications - English 9780486466705 Reviews:
"Synopsis" by ,

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.

"Synopsis" by ,

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.

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