Squares

Name: Squares
Price: 54.0 USD
Availability: InStock
ISBN: 9780521426688

ISBN-10: 0521426685

ISBN-13: 9780521426688

Edition: 1993

Authors: A. R. Rajwade, J. W. S. Cassels, N. J. Hitchin

List price: $56.99

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Description:

This work is a self-contained treatise on the research conducted on squares by Pfister, Hilbert, Hurwitz, and others. Many classical and modern results and quadratic forms are brought together in this book, and the treatment requires only a basic knowledge of rings, fields, polynomials, and matrices. The author deals with many different approaches to the study of squares, from the classical works of the late nineteenth century, to areas of current research.

Book details

List price: $56.99
Copyright year: 1993
Publisher: Cambridge University Press
Publication date: 10/14/1993
Binding: Paperback
Pages: 300
Size: 5.94" wide x 8.98" long x 0.79" tall
Weight: 0.858




The theorem of Hurwitz



The 2n theorems and the Stufe of fields



Examples of the Stufe of fields and related topics



Hilbert's 17th problem



Positive definite functions and sums of squares



An introduction to Hilbert's theorem



The two proofs of Hilbert's theorem



Theorems of Reznick and Choi, Lam and Reznick



Theorems of Choi, Calderon and Robinson



The theorem of Hurwitz-Radon



An introduction to quadratic form theory



The theory of multiplicative forms and Pfister forms



The Hopf condition



Examples of bilinear identities and a theorem of Gabel



Artin-Schreier theory of formally real fields



Squares and sums of squares in fields and their extension fields



Pourchet's theorem and related results



Examples of the Stufe and Pythagoras number of fields using the Hasse-Minkowski theorem


Appendix: Reduction of matrices to canonical form