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Symmetric Bilinear Forms 1973 Edition
Contributor(s): Milnor, John (Author), Husemoller, Dale (Author)

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 ISBN: 364288332X     ISBN-13: 9783642883323
Publisher: Springer
OUR PRICE: $113.99  

Binding Type: Paperback - See All Available Formats & Editions
Published: April 2014
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Click for more in this series: Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 2. Folge
Additional Information
BISAC Categories:
- Mathematics | Algebra - Linear
Dewey: 512.5
Series: Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 2. Folge
Physical Information: 0.34" H x 6.69" W x 9.61" L (0.58 lbs) 150 pages
Features: Illustrated
 
Descriptions, Reviews, Etc.
Publisher Description:
The theory cf quadratic forms and the intimately related theory of sym- metrie bilinear forms have a lang and rich his tory, highlighted by the work of Legendre, Gauss, Minkowski, and Hasse. (Compare Dickson] and Bourbaki, 24, p. 185].) Our exposition will concentrate on the rela- tively recent developments which begin with and are inspired by Witt's 1937 paper "Theorie der quadratischen Formen in beliebigen K rpern." We will be particularly interested in the work of A. Pfister and M. Knebusch. However, some older material will be described, particularly in Chapter II. The presentation is based on lectures by Milnor at the Institute for Ad- vanced Study, and at Haverford College under the Phillips Lecture Pro- gram, during the Fall of 1970, as weIl as Iectures at Princeton University il1 1966. We want to thank J. Cunningham, M. Knebusch, M. Kneser, A. Rosenberg, W. Scharlau and J.-P. Serre for helpful suggestions and corrections. Prerequisites. The reader should be familiar with the rudiments of algebra., incJuding for example the concept of tensor product for mo- dules over a commutative ring. A few individual sections will require quite a bit more. The logical relationship between the various chapters can be roughly described by the diagram below. There are also five appendices, largely self-contained, which treat special topics. I. Arbitrary commutative rings I H. The ring of V. Miscellaneous IIl. Fields integers examples IV. Dedekind domains Contents Chapter r. Basie Coneepts . . . . . . . .
 
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