Quadratic Forms -- Algebra, Arithmetic, and Geometry PDF Download
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Author: Ricardo Baeza
Publisher: American Mathematical Soc.
ISBN: 0821846485
Category : Mathematics
Languages : en
Pages : 424
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Book Description
This volume presents a collection of articles that are based on talks delivered at the International Conference on the Algebraic and Arithmetic Theory of Quadratic Forms held in Frutillar, Chile in December 2007. The theory of quadratic forms is closely connected with a broad spectrum of areas in algebra and number theory. The articles in this volume deal mainly with questions from the algebraic, geometric, arithmetic, and analytic theory of quadratic forms, and related questions in algebraic group theory and algebraic geometry.
Author: Ricardo Baeza
Publisher: American Mathematical Soc.
ISBN: 0821846485
Category : Mathematics
Languages : en
Pages : 424
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Book Description
This volume presents a collection of articles that are based on talks delivered at the International Conference on the Algebraic and Arithmetic Theory of Quadratic Forms held in Frutillar, Chile in December 2007. The theory of quadratic forms is closely connected with a broad spectrum of areas in algebra and number theory. The articles in this volume deal mainly with questions from the algebraic, geometric, arithmetic, and analytic theory of quadratic forms, and related questions in algebraic group theory and algebraic geometry.
Author: John Horton Conway
Publisher: American Mathematical Soc.
ISBN: 1470448424
Category :
Languages : en
Pages : 152
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Book Description
John Horton Conway's unique approach to quadratic forms was the subject of the Hedrick Lectures that he gave in August of 1991 at the Joint Meetings of the Mathematical Association of America and the American Mathematical Society in Orono, Maine. This book presents the substance of those lectures. The book should not be thought of as a serious textbook on the theory of quadratic forms. It consists rather of a number of essays on particular aspects of quadratic forms that have interested the author. The lectures are self-contained and will be accessible to the generally informed reader who has no particular background in quadratic form theory. The minor exceptions should not interrupt the flow of ideas. The afterthoughts to the lectures contain discussion of related matters that occasionally presuppose greater knowledge.
Author: Bill Jacob
Publisher: American Mathematical Soc.
ISBN: 9780821854891
Category : Mathematics
Languages : en
Pages : 420
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Book Description
The papers collected here present an up-to-date record of the current research developments in the fields of real algebraic geometry and quadratic forms. Articles range from the technical to the expository and there are also indications to new research directions.
Author: Richard S. Elman
Publisher: American Mathematical Soc.
ISBN: 9780821873229
Category : Mathematics
Languages : en
Pages : 456
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Book Description
This book is a comprehensive study of the algebraic theory of quadratic forms, from classical theory to recent developments, including results and proofs that have never been published. The book is written from the viewpoint of algebraic geometry and includes the theory of quadratic forms over fields of characteristic two, with proofs that are characteristic independent whenever possible. For some results both classical and geometric proofs are given. Part I includes classical algebraic theory of quadratic and bilinear forms and answers many questions that have been raised in the early stages of the development of the theory. Assuming only a basic course in algebraic geometry, Part II presents the necessary additional topics from algebraic geometry including the theory of Chow groups, Chow motives, and Steenrod operations. These topics are used in Part III to develop a modern geometric theory of quadratic forms.
Author: Albrecht Pfister
Publisher: Cambridge University Press
ISBN: 0521467551
Category : Mathematics
Languages : en
Pages : 191
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Book Description
A gem of a book bringing together 30 years worth of results that are certain to interest anyone whose research touches on quadratic forms.
Author: Skip Garibaldi
Publisher: Springer Science & Business Media
ISBN: 1441962115
Category : Mathematics
Languages : en
Pages : 348
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Book Description
Developments in Mathematics is a book series devoted to all areas of mathematics, pure and applied. The series emphasizes research monographs describing the latest advances. Edited volumes that focus on areas that have seen dramatic progress, or are of special interest, are encouraged as well.
Author: Sergeĭ Sergeevich Ryshkov
Publisher: American Mathematical Soc.
ISBN: 9780821830703
Category : Formes quadratiques
Languages : en
Pages : 268
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Book Description
Papers and articles about quadratic forms.
Author: International Conference on the Algebraic and Arithmetic Theory of Quadratic Forms (2002
Publisher: American Mathematical Soc.
ISBN: 082183441X
Category : Mathematics
Languages : en
Pages : 350
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Book Description
This proceedings volume contains papers presented at the International Conference on the algebraic and arithmetic theory of quadratic forms held in Talca (Chile). The modern theory of quadratic forms has connections with a broad spectrum of mathematical areas including number theory, geometry, and K-theory. This volume contains survey and research articles covering the range of connections among these topics.
Author: John Horton Conway
Publisher: Cambridge University Press
ISBN: 9780883850305
Category : Mathematics
Languages : en
Pages : 180
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Book Description
Quadratic forms are presented in a pictorial way, elucidating many topics in algebra, number theory and geometry.
Author: Montserrat Alsina
Publisher: American Mathematical Soc.
ISBN: 9780821833599
Category : Mathematics
Languages : en
Pages : 232
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Book Description
Shimura curves are a far-reaching generalization of the classical modular curves. They lie at the crossroads of many areas, including complex analysis, hyperbolic geometry, algebraic geometry, algebra, and arithmetic. This monograph presents Shimura curves from a theoretical and algorithmic perspective. The main topics are Shimura curves defined over the rational number field, the construction of their fundamental domains, and the determination of their complex multiplicationpoints. The study of complex multiplication points in Shimura curves leads to the study of families of binary quadratic forms with algebraic coefficients and to their classification by arithmetic Fuchsian groups. In this regard, the authors develop a theory full of new possibilities that parallels Gauss'theory on the classification of binary quadratic forms with integral coefficients by the action of the modular group. This is one of the few available books explaining the theory of Shimura curves at the graduate student level. Each topic covered in the book begins with a theoretical discussion followed by carefully worked-out examples, preparing the way for further research.
