Integral Quadratic Forms: 51 (Cambridge Tracts in Mathematics, Series Number 51)

Watson Watson

ISBN 10: 0521091810 / ISBN 13: 9780521091817

Published by Cambridge University Press 2009-03-09, 2009

About this Item

Seller Inventory # 6666-IUK-9780521091817

Bibliographic Details

• Title: Integral Quadratic Forms: 51 (Cambridge Tracts in Mathematics, Series Number 51)
• Publisher: Cambridge University Press 2009-03-09
• Publication Date: 2009
• Language: English
• ISBN 10: 0521091810
• ISBN 13: 9780521091817
• Binding: Paperback
• Condition: New

About this title

Synopsis

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most of the main problems; there are proofs of many recent results, including some discovered by Dr Watson but hitherto unpublished.

Book Description

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.