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25 Remote Warehouse Mathematics- Geometry and Trigonometry

Cambridge Tracts in Mathematics #51: Integral Quadratic Forms

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Cambridge Tracts in Mathematics #51: Integral Quadratic Forms Cover

 

Synopses & Reviews

Publisher Comments:

This tract gives a fairly elementary account of the theory of quadratic forms with integral coefficients and variables. It assumes a knowledge of the rudiments of matrix algebra and of elementary number theory, but scarcely any analysis. It is therefore intelligible to beginners and helps to prepare them for the study of the advanced work on quadratic forms over general rings. Dr Watson works step by step from wider (and easier) to narrower relations between forms, the final goal being the study of equivalence. The important problem of representation of integers is fully discussed in the course of the main development. There is an early chapter on reduction. Existing work on the theory of integral quadratic forms is obscure (partly for historical reasons). But the straightforward approach adopted by Dr Watson leads to a consideration of most of the main problems; there are proofs of many recent results, including some discovered by Dr Watson but hitherto unpublished.

Table of Contents

1. Introductory; 2. Reduction; 3. The Rational Invariants; 4. p-Adic Equivalence; 5. The Congruence Class and the Genus; 6. Rational Transformations; 7. Equivalence and Spinor-Relatedness; 8. The General Rational Automorph.

Product Details

ISBN:
9780521091817
Author:
Watson, Ronald
Publisher:
Cambridge University Press
Author:
Watson
Author:
Watson, Little Ronald Ed. Ronald Ed. Gra
Author:
Watson, G. L.
Location:
Cambridge
Subject:
Geometry - General
Subject:
Mathematical Analysis
Subject:
Mathematics-Geometry and Trigonometry
Edition Description:
Trade paper
Series:
Cambridge Tracts in Mathematics
Series Volume:
51
Publication Date:
20081231
Binding:
TRADE PAPER
Language:
English
Pages:
156
Dimensions:
5.51x8.50x.36 in. .45 lbs.

Related Subjects

Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Calculus » General
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry

Cambridge Tracts in Mathematics #51: Integral Quadratic Forms New Trade Paper
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Product details 156 pages Cambridge University Press - English 9780521091817 Reviews:
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