Description: Symmetric Bilinear Forms Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). Author(s): John Milnor, Dale Husemoller Format: Paperback Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Germany Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K ISBN-13: 9783642883323, 978-3642883323 Synopsis 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 Korpern." 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 il[tel]. 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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Book Title: Symmetric Bilinear Forms
Number of Pages: 150 Pages
Language: English
Publication Name: Symmetric Bilinear Forms
Publisher: Springer-Verlag Berlin AND Heidelberg Gmbh & Co. KG
Publication Year: 2014
Subject: Mathematics
Item Height: 244 mm
Item Weight: 289 g
Type: Textbook
Author: John Milnor, Dale Husemoller
Series: Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 2. Folge
Item Width: 170 mm
Format: Paperback
