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Quadratic Forms with Applications to Algebraic Geometry and Topology

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ISBN-10: 0521467551

ISBN-13: 9780521467551

Edition: 1995

Authors: Albrecht Pfister, J. W. S. Cassels, N. J. Hitchin

List price: $49.99
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Description:

This volume discusses results about quadratic forms that give rise to interconnections among number theory, algebra, algebraic geometry, and topology. The author deals with various topics including Hilbert's 17th problem, the Tsen-Lang theory of quasi-algebraically closed fields, the level of topological spaces, and systems of quadratic forms over arbitrary fields. Whenever possible, proofs are short and elegant, and the author has made this book as self-contained as possible. This book brings together thirty years' worth of results certain to interest anyone whose research touches on quadratic forms.
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Book details

List price: $49.99
Copyright year: 1995
Publisher: Cambridge University Press
Publication date: 9/28/1995
Binding: Paperback
Pages: 188
Size: 6.06" wide x 9.13" long x 0.43" tall
Weight: 0.638
Language: English

The representation theory of Cassels
Multiplicative quadratic forms
The level of fields, rings and topological spaces
Hilbert's homogeneous nullstellensatz
Tsen-Lang theory
Hilbert's 17th problem
The Pythagoras number
The u-invariant
Systems of quadratic forms
The level of projective spaces