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portada Integral Quadratic Forms (Cambridge Tracts in Mathematics)
Type
Physical Book
Year
2008
Language
English
Pages
156
Format
Paperback
ISBN
0521091810
ISBN13
9780521091817
Categories

Integral Quadratic Forms (Cambridge Tracts in Mathematics)

Watson Watson (Author) · Cambridge University Press · Paperback

Integral Quadratic Forms (Cambridge Tracts in Mathematics) - Watson Watson

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Synopsis "Integral Quadratic Forms (Cambridge Tracts in Mathematics)"

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of the main problems; there are proofs of many recent results, including some discovered by Dr Watson but hitherto unpublished.

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