Bilinear Algebra: An Introduction to the Algebraic Theory of Quadratic Forms (Algebra, Logic & Applications Series) | 
 enlarge | Author: Kazimierz Szymiczek
Publisher: CRC
Category: Book
List Price: $134.95
Buy New: $112.29
You Save: $22.66 (17%)
New (10) Used (3) from $95.45
Sales Rank: 4044119
Media: Hardcover
Edition: 1
Pages: 486
Number Of Items: 1
Shipping Weight (lbs): 2.2
Dimensions (in): 9 x 6.3 x 1.5
ISBN: 9056990764
Dewey Decimal Number: 512.944
EAN: 9789056990763
Publication Date: September 5, 1997
Availability: Usually ships in 1-2 business days
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Condition: Brand new item. Over 4 million customers served. Order now. Selling online since 1995. Few left in stock - order soon. Code: C20081228095740C
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Product Description
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.
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