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Author : Yoshiyuki Kitaoka
Release : 1999-04-29
Genre : Mathematics
Kind : eBook
Book Rating : 964/5 ( reviews)
Book Synopsis Arithmetic of Quadratic Forms by : Yoshiyuki Kitaoka
Download or read book Arithmetic of Quadratic Forms written by Yoshiyuki Kitaoka. This book was released on 1999-04-29. Available in PDF, EPUB and Kindle. Book excerpt: Provides an introduction to quadratic forms.
Author : Goro Shimura
Release : 2010-08-09
Genre : Mathematics
Kind : eBook
Book Rating : 322/5 ( reviews)
Book Synopsis Arithmetic of Quadratic Forms by : Goro Shimura
Download or read book Arithmetic of Quadratic Forms written by Goro Shimura. This book was released on 2010-08-09. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Onorato Timothy O’Meara
Release : 2013-12-01
Genre : Mathematics
Kind : eBook
Book Rating : 22X/5 ( reviews)
Book Synopsis Introduction to Quadratic Forms by : Onorato Timothy O’Meara
Download or read book Introduction to Quadratic Forms written by Onorato Timothy O’Meara. This book was released on 2013-12-01. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Larry J. Gerstein
Release : 2008
Genre : Mathematics
Kind : eBook
Book Rating : 652/5 ( reviews)
Book Synopsis Basic Quadratic Forms by : Larry J. Gerstein
Download or read book Basic Quadratic Forms written by Larry J. Gerstein. This book was released on 2008. Available in PDF, EPUB and Kindle. Book excerpt: The arithmetic theory of quadratic forms is a rich branch of number theory that has had important applications to several areas of pure mathematics--particularly group theory and topology--as well as to cryptography and coding theory. This book is a self-contained introduction to quadratic forms that is based on graduate courses the author has taught many times. It leads the reader from foundation material up to topics of current research interest--with special attention to the theory over the integers and over polynomial rings in one variable over a field--and requires only a basic background in linear and abstract algebra as a prerequisite. Whenever possible, concrete constructions are chosen over more abstract arguments. The book includes many exercises and explicit examples, and it is appropriate as a textbook for graduate courses or for independent study. To facilitate further study, a guide to the extensive literature on quadratic forms is provided.
Author : John Horton Conway
Release : 1997-12-31
Genre :
Kind : eBook
Book Rating : 424/5 ( reviews)
Book Synopsis The Sensual (quadratic) Form by : John Horton Conway
Download or read book The Sensual (quadratic) Form written by John Horton Conway. This book was released on 1997-12-31. Available in PDF, EPUB and Kindle. Book excerpt: 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.
