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Arithmetic Of Quadratic Forms


Arithmetic Of Quadratic Forms
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Arithmetic Of Quadratic Forms


Arithmetic Of Quadratic Forms
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Author : Yoshiyuki Kitaoka
language : en
Publisher: Cambridge University Press
Release Date : 1999-04-29

Arithmetic Of Quadratic Forms written by Yoshiyuki Kitaoka and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-04-29 with Mathematics categories.


Provides an introduction to quadratic forms.



The Arithmetic Theory Of Quadratic Forms


The Arithmetic Theory Of Quadratic Forms
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Author : Burton W Jones
language : en
Publisher: American Mathematical Soc.
Release Date : 1950-12-31

The Arithmetic Theory Of Quadratic Forms written by Burton W Jones 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 1950-12-31 with Mathematics categories.


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.



Arithmetic Theory Of Quadratic Forms


Arithmetic Theory Of Quadratic Forms
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Author : Jones
language : en
Publisher:
Release Date : 1950-01-01

Arithmetic Theory Of Quadratic Forms written by Jones and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1950-01-01 with categories.




Quadratic Forms Algebra Arithmetic And Geometry


Quadratic Forms Algebra Arithmetic And Geometry
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Author : Ricardo Baeza
language : en
Publisher: American Mathematical Soc.
Release Date : 2009-08-14

Quadratic Forms Algebra Arithmetic And Geometry written by Ricardo Baeza 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 2009-08-14 with Mathematics categories.


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.



Arithmetic Of Quadratic Forms


Arithmetic Of Quadratic Forms
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Author : Goro Shimura
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-08-09

Arithmetic Of Quadratic Forms written by Goro Shimura and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-09 with Mathematics categories.


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.



The Sensual Quadratic Form


The Sensual Quadratic Form
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Author : John Horton Conway
language : en
Publisher: American Mathematical Soc.
Release Date : 1997-12-31

The Sensual Quadratic Form written by John Horton Conway 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 1997-12-31 with Mathematics categories.


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.



The Arithmetic Theory Of Quadratic Forms


The Arithmetic Theory Of Quadratic Forms
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Author : Burton Wadsworth Jones
language : en
Publisher:
Release Date : 1976

The Arithmetic Theory Of Quadratic Forms written by Burton Wadsworth Jones and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with categories.




Algebraic And Arithmetic Theory Of Quadratic Forms


Algebraic And Arithmetic Theory Of Quadratic Forms
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Author : Ricardo Baeza
language : en
Publisher: American Mathematical Soc.
Release Date : 2004

Algebraic And Arithmetic Theory Of Quadratic Forms written by Ricardo Baeza 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 2004 with Mathematics categories.


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.



Rational Quadratic Forms


Rational Quadratic Forms
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Author : J. W. S. Cassels
language : en
Publisher: Courier Dover Publications
Release Date : 2008-08-08

Rational Quadratic Forms written by J. W. S. Cassels and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-08 with Mathematics categories.


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.



Diophantine Methods Lattices And Arithmetic Theory Of Quadratic Forms


Diophantine Methods Lattices And Arithmetic Theory Of Quadratic Forms
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Author : Wai Kiu Chan
language : en
Publisher: American Mathematical Soc.
Release Date : 2013

Diophantine Methods Lattices And Arithmetic Theory Of Quadratic Forms written by Wai Kiu Chan 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 2013 with Mathematics categories.


This volume contains the proceedings of the International Workshop on Diophantine Methods, Lattices, and Arithmetic Theory of Quadratic Forms. The articles cover the arithmetic theory of quadratic forms and lattices, as well as the effective Diophantine analysis with height functions.