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Introduction to Quadratic Forms

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Release : 2013-12-01
Genre : Mathematics
Kind : eBook
Book Rating : 22X/5 ( reviews)

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Book Synopsis Introduction to Quadratic Forms by : Onorato Timothy O’Meara

Download or read book Introduction to Quadratic Forms written by Onorato Timothy O’Meara. This book was released on 2013-12-01. Available in PDF, EPUB and Kindle. Book excerpt:

The Algebraic Theory of Quadratic Forms

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Release : 1980
Genre : Mathematics
Kind : eBook
Book Rating : 663/5 ( reviews)

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Book Synopsis The Algebraic Theory of Quadratic Forms by : Tsit-Yuen Lam

Download or read book The Algebraic Theory of Quadratic Forms written by Tsit-Yuen Lam. This book was released on 1980. Available in PDF, EPUB and Kindle. Book excerpt:

Basic Quadratic Forms

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Release : 2008
Genre : Mathematics
Kind : eBook
Book Rating : 652/5 ( reviews)

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Book Synopsis Basic Quadratic Forms by : Larry J. Gerstein

Download or read book Basic Quadratic Forms written by Larry J. Gerstein. This book was released on 2008. Available in PDF, EPUB and Kindle. Book excerpt: The arithmetic theory of quadratic forms is a rich branch of number theory that has had important applications to several areas of pure mathematics--particularly group theory and topology--as well as to cryptography and coding theory. This book is a self-contained introduction to quadratic forms that is based on graduate courses the author has taught many times. It leads the reader from foundation material up to topics of current research interest--with special attention to the theory over the integers and over polynomial rings in one variable over a field--and requires only a basic background in linear and abstract algebra as a prerequisite. Whenever possible, concrete constructions are chosen over more abstract arguments. The book includes many exercises and explicit examples, and it is appropriate as a textbook for graduate courses or for independent study. To facilitate further study, a guide to the extensive literature on quadratic forms is provided.

Rational Quadratic Forms

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Release : 2008-08-08
Genre : Mathematics
Kind : eBook
Book Rating : 701/5 ( reviews)

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Book Synopsis Rational Quadratic Forms by : J. W. S. Cassels

Download or read book Rational Quadratic Forms written by J. W. S. Cassels. This book was released on 2008-08-08. Available in PDF, EPUB and Kindle. Book excerpt: Exploration of quadratic forms over rational numbers and rational integers offers elementary introduction. Covers quadratic forms over local fields, forms with integral coefficients, reduction theory for definite forms, more. 1968 edition.

Bilinear Algebra

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Release : 2017-11-22
Genre : Mathematics
Kind : eBook
Book Rating : 205/5 ( reviews)

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Book Synopsis Bilinear Algebra by : Kazimierz Szymiczek

Download or read book Bilinear Algebra written by Kazimierz Szymiczek. This book was released on 2017-11-22. 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.

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