Quadratic Forms Algebra Arithmetic And Geometry PDF Download
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Author | : Ricardo Baeza |
Publisher | : American Mathematical Soc. |
Total Pages | : 424 |
Release | : 2009-08-14 |
Genre | : Mathematics |
ISBN | : 0821846485 |
Download Quadratic Forms -- Algebra, Arithmetic, and Geometry Book in PDF, ePub and Kindle
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 | : Skip Garibaldi |
Publisher | : Springer Science & Business Media |
Total Pages | : 344 |
Release | : 2010-07-16 |
Genre | : Mathematics |
ISBN | : 1441962115 |
Download Quadratic Forms, Linear Algebraic Groups, and Cohomology Book in PDF, ePub and Kindle
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 | : Eva Bayer-Fluckiger |
Publisher | : American Mathematical Soc. |
Total Pages | : 330 |
Release | : 2000 |
Genre | : Mathematics |
ISBN | : 0821827790 |
Download Quadratic Forms and Their Applications Book in PDF, ePub and Kindle
This volume outlines the proceedings of the conference on "Quadratic Forms and Their Applications" held at University College Dublin. It includes survey articles and research papers ranging from applications in topology and geometry to the algebraic theory of quadratic forms and its history. Various aspects of the use of quadratic forms in algebra, analysis, topology, geometry, and number theory are addressed. Special features include the first published proof of the Conway-Schneeberger Fifteen Theorem on integer-valued quadratic forms and the first English-language biography of Ernst Witt, founder of the theory of quadratic forms.
Author | : John Horton Conway |
Publisher | : American Mathematical Soc. |
Total Pages | : 152 |
Release | : 1997-12-31 |
Genre | : |
ISBN | : 1470448424 |
Download The Sensual (quadratic) Form Book in PDF, ePub and Kindle
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 | : Ricardo Baeza |
Publisher | : |
Total Pages | : 408 |
Release | : 2009 |
Genre | : |
ISBN | : |
Download Quadratic Forms Book in PDF, ePub and Kindle
Author | : Albrecht Pfister |
Publisher | : Cambridge University Press |
Total Pages | : 191 |
Release | : 1995-09-28 |
Genre | : Mathematics |
ISBN | : 0521467551 |
Download Quadratic Forms with Applications to Algebraic Geometry and Topology Book in PDF, ePub and Kindle
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 | : John Horton Conway |
Publisher | : Cambridge University Press |
Total Pages | : 180 |
Release | : 1997 |
Genre | : Mathematics |
ISBN | : 9780883850305 |
Download The Sensual (Quadratic) Form Book in PDF, ePub and Kindle
Quadratic forms are presented in a pictorial way, elucidating many topics in algebra, number theory and geometry.
Author | : Ricardo Baeza |
Publisher | : American Mathematical Soc. |
Total Pages | : 364 |
Release | : 2004 |
Genre | : Mathematics |
ISBN | : 082183441X |
Download Algebraic and Arithmetic Theory of Quadratic Forms Book in PDF, ePub and Kindle
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. The survey articles bring readers up-to-date on research and open problems in representation theory of integral quadratic forms, the algebraic theory of finite square class fields, and developments in the theory of Witt groups of triangulated categories. The specialized articles present important developments in both the algebraic and arithmetic theory of quadratic forms, as well as connections to geometry and K-theory. The volume is suitable for graduate students and research mathematicians interested in various aspects of the theory of quadratic forms.
Author | : Burton W Jones |
Publisher | : American Mathematical Soc. |
Total Pages | : 212 |
Release | : 1950-12-31 |
Genre | : Forms, Binary |
ISBN | : 1614440107 |
Download The Arithmetic Theory of Quadratic Forms Book in PDF, ePub and Kindle
This monograph presents the central ideas of the arithmetic theory of quadratic forms in self-contained form, assuming only knowledge of the fundamentals of matric theory and the theory of numbers. Pertinent concepts of p -adic numbers and quadratic ideals are introduced. It would have been possible to avoid these concepts, but the theory gains elegance as well as breadth by the introduction of such relationships. Some results, and many of the methods, are here presented for the first time. The development begins with the classical theory in the field of reals from the point of view of representation theory; for in these terms, many of the later objectives and methods may be revealed. The successive chapters gradually narrow the fields and rings until one has the tools at hand to deal with the classical problems in the ring of rational integers. The analytic theory of quadratic forms is not dealt with because of the delicate analysis involved. However, some of the more important results are stated and references are given.
Author | : Montserrat Alsina |
Publisher | : American Mathematical Soc. |
Total Pages | : 232 |
Release | : 2004 |
Genre | : Mathematics |
ISBN | : 9780821833599 |
Download Quaternion Orders, Quadratic Forms, and Shimura Curves Book in PDF, ePub and Kindle
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.