Bilinear Algebra : An Introduction to the Algebraic Theory of Quadratic Forms
Book Details
Format
Hardback or Cased Book
Book Series
Algebra, Logic and Applications
ISBN-10
9056990764
ISBN-13
9789056990763
Publisher
Taylor & Francis Ltd
Imprint
Taylor & Francis Ltd
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Sep 5th, 1997
Print length
498 Pages
Weight
834 grams
Dimensions
23.60 x 15.60 x 3.10 cms
Product Classification:
AlgebraNumber theory
Ksh 36,000.00
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Giving an easily accessible elementary introduction to the algebraic theory of quadratic forms, this book covers both Witt's theory and Pfister's theory of quadratic forms.
Giving an easily accessible elementary introduction to the algebraic theory of quadratic forms, this book covers both Witt''s theory and Pfister''s theory of quadratic forms.
Leading topics include the geometry of bilinear spaces, classification of bilinear spaces up to isometry depending on the ground field, formally real fields, Pfister forms, the Witt ring of an arbitrary field (characteristic two included), prime ideals of the Witt ring, Brauer group of a field, Hasse and Witt invariants of quadratic forms, and equivalence of fields with respect to quadratic forms. Problem sections are included at the end of each chapter. There are two appendices: the first gives a treatment of Hasse and Witt invariants in the language of Steinberg symbols, and the second contains some more advanced problems in 10 groups, including the u-invariant, reduced and stable Witt rings, and Witt equivalence of fields.
Leading topics include the geometry of bilinear spaces, classification of bilinear spaces up to isometry depending on the ground field, formally real fields, Pfister forms, the Witt ring of an arbitrary field (characteristic two included), prime ideals of the Witt ring, Brauer group of a field, Hasse and Witt invariants of quadratic forms, and equivalence of fields with respect to quadratic forms. Problem sections are included at the end of each chapter. There are two appendices: the first gives a treatment of Hasse and Witt invariants in the language of Steinberg symbols, and the second contains some more advanced problems in 10 groups, including the u-invariant, reduced and stable Witt rings, and Witt equivalence of fields.
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