Introduction To Quadratic Forms
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Introduction To Quadratic Forms
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Author : Onorato Timothy O’Meara
language : en
Publisher: Springer
Release Date : 2013-12-01
Introduction To Quadratic Forms written by Onorato Timothy O’Meara and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.
Introduction To Quadratic Forms Over Fields
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Author : Tsit-Yuen Lam
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Introduction To Quadratic Forms Over Fields written by Tsit-Yuen Lam and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
This new version of the author's prizewinning book, Algebraic Theory of Quadratic Forms (W. A. Benjamin, Inc., 1973), gives a modern and self-contained introduction to the theory of quadratic forms over fields of characteristic different from two. Starting with few prerequisites beyond linear algebra, the author charts an expert course from Witt's classical theory of quadratic forms, quaternion and Clifford algebras, Artin-Schreier theory of formally real fields, and structural theorems on Witt rings, to the theory of Pfister forms, function fields, and field invariants. These main developments are seamlessly interwoven with excursions into Brauer-Wall groups, local and global fields, trace forms, Galois theory, and elementary algebraic K-theory, to create a uniquely original treatment of quadratic form theory over fields. Two new chapters totaling more than 100 pages have been added to the earlier incarnation of this book to take into account some of the newer results and more recent viewpoints in the area. As is characteristic of this author's expository style, the presentation of the main material in this book is interspersed with a copious number of carefully chosen examples to illustrate the general theory. This feature, together with a rich stock of some 280 exercises for the thirteen chapters, greatly enhances the pedagogical value of this book, both as a graduate text and as a reference work for researchers in algebra, number theory, algebraic geometry, algebraic topology, and geometric topology.
Introduction To Quadratic Forms
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Author : O. T. O'Meara
language : en
Publisher:
Release Date : 1971
Introduction To Quadratic Forms written by O. T. O'Meara and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Forms, Quadratic categories.
Introduction To Quadratic Forms
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Author : O. T. O'Meara
language : en
Publisher:
Release Date : 1971
Introduction To Quadratic Forms written by O. T. O'Meara and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with categories.
Introduction To Quadratic Forms
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Author : O. Timothy O'Meara
language : en
Publisher: Springer
Release Date : 2012-03-21
Introduction To Quadratic Forms written by O. Timothy O'Meara and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-21 with Mathematics categories.
From the reviews: "Anyone who has heard O'Meara lecture will recognize in every page of this book the crispness and lucidity of the author's style. [...] The organization and selection of material is superb. [...] deserves high praise as an excellent example of that too-rare type of mathematical exposition combining conciseness with clarity." Bulletin of the AMS
Introduction To Quadratic Forms
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Author : Onorato Timothy O'Meara
language : en
Publisher:
Release Date : 2018
Introduction To Quadratic Forms written by Onorato Timothy O'Meara and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Algebra categories.
Quadratic Forms And Matrices
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Author : Nikolaĭ Vladimirovich Efimov
language : en
Publisher:
Release Date : 1964
Quadratic Forms And Matrices written by Nikolaĭ Vladimirovich Efimov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Forms, Quadratic categories.
Quadratic Forms And Matrices
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Author : N. A. Yefimov
language : en
Publisher: Academic Press
Release Date : 2014-05-12
Quadratic Forms And Matrices written by N. A. Yefimov and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-12 with Mathematics categories.
Quadratic Forms and Matrices: An Introductory Approach focuses on the principles, processes, methodologies, and approaches involved in the study of quadratic forms and matrices. The publication first offers information on the general theory of quadratic curves, including reduction to canonical form of the general equation of a quadratic curve, invariants and classification, reduction to canonical form of the equation of a quadratic curve with center at the origin, and transformation of coordinates in the plane. The text then examines the general theory of quadratic surfaces. Topics include transformation of rectangular coordinates in space; general deductions based on the formulas for the transformation of coordinates; reduction to canonical form of the equation of a quadric with center at the origin; and reduction to canonical form of the general equation of a quadric surface. The manuscript ponders on linear transformations and matrices, including reduction of a quadratic form to canonical form; reduction to canonical form of the matrix of a symmetric linear transformation of space; change of the matrix of a linear transformation due to a change of basis; and geometric meaning of the determinant of a linear transformation. The publication is a vital reference for researchers interested in the study of quadratic forms and matrices.
The Algebraic Theory Of Quadratic Forms
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Author : Tsit-Yuen Lam
language : en
Publisher: Addison-Wesley
Release Date : 1980
The Algebraic Theory Of Quadratic Forms written by Tsit-Yuen Lam and has been published by Addison-Wesley this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.
Bilinear Algebra
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Author : Kazimierz Szymiczek
language : en
Publisher: Routledge
Release Date : 2017-11-22
Bilinear Algebra written by Kazimierz Szymiczek and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-22 with Mathematics categories.
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.