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 | : Goro Shimura |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 245 |
| Release | : 2010-08-09 |
| Genre | : Mathematics |
| ISBN | : 1441917322 |
Download Arithmetic of Quadratic Forms Book in PDF, ePub and Kindle
This book is divided into two parts. The first part is preliminary and consists of algebraic number theory and the theory of semisimple algebras. There are two principal topics: classification of quadratic forms and quadratic Diophantine equations. The second topic is a new framework which contains the investigation of Gauss on the sums of three squares as a special case. To make the book concise, the author proves some basic theorems in number theory only in some special cases. However, the book is self-contained when the base field is the rational number field, and the main theorems are stated with an arbitrary number field as the base field. So the reader familiar with class field theory will be able to learn the arithmetic theory of quadratic forms with no further references.
| 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 | : Bill Jacob |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 420 |
| Release | : 1994 |
| Genre | : Mathematics |
| ISBN | : 9780821854891 |
Download Recent Advances in Real Algebraic Geometry and Quadratic Forms Book in PDF, ePub and Kindle
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. |
| Total Pages | : 456 |
| Release | : 2008-07-15 |
| Genre | : Mathematics |
| ISBN | : 9780821873229 |
Download The Algebraic and Geometric Theory of Quadratic Forms Book in PDF, ePub and Kindle
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 | : 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 | : 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.
