Bilinear Algebra

Bilinear Algebra
Author :
Publisher : Routledge
Total Pages : 501
Release :
ISBN-10 : 9781351464215
ISBN-13 : 1351464213
Rating : 4/5 (213 Downloads)

Book Synopsis Bilinear Algebra by : Kazimierz Szymiczek

Download or read book Bilinear Algebra written by Kazimierz Szymiczek and published by Routledge. This book was released on 2017-11-22 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Bilinear Algebra Related Books

Bilinear Algebra
Language: en
Pages: 501
Authors: Kazimierz Szymiczek
Categories: Mathematics
Type: BOOK - Published: 2017-11-22 - Publisher: Routledge

GET EBOOK

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 quad
Bilinear Algebra
Language: en
Pages: 508
Authors: Kazimierz Szymiczek
Categories: Mathematics
Type: BOOK - Published: 1997-09-05 - Publisher: CRC Press

GET EBOOK

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 quad
Neutrosophic Bilinear Algebras and their Generalizations
Language: en
Pages: 404
Authors: W. B. Vasantha Kandasamy
Categories: Mathematics
Type: BOOK - Published: 2010 - Publisher: Infinite Study

GET EBOOK

This book introduces over one hundred new concepts related to neutrosophic bilinear algebras and their generalizations. Illustrated by more than 225 examples, t
Symmetric Bilinear Forms
Language: en
Pages: 155
Authors: John Milnor
Categories: Mathematics
Type: BOOK - Published: 2013-04-17 - Publisher: Springer Science & Business Media

GET EBOOK

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,
The Algebraic and Geometric Theory of Quadratic Forms
Language: en
Pages: 456
Authors: Richard S. Elman
Categories: Mathematics
Type: BOOK - Published: 2008-07-15 - Publisher: American Mathematical Soc.

GET EBOOK

This book is a comprehensive study of the algebraic theory of quadratic forms, from classical theory to recent developments, including results and proofs that h