Arithmetic of Quadratic Forms Hardback - 2010
by Goro Shimura
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- Hardback
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Details
- Title Arithmetic of Quadratic Forms
- Author Goro Shimura
- Binding Hardback
- Edition International Ed
- Condition New
- Pages 238
- Volumes 1
- Language ENG
- Publisher Springer
- Publication date 2010-06-30
- Illustrated Yes
- Features Bibliography, Illustrated, Index, Table of Contents
- Bookseller's Inventory # ria9781441917317_inp
- ISBN 9781441917317 / 1441917314
- Weight 1.17 lbs (0.53 kg)
- Dimensions 9.21 x 6.14 x 0.63 in (23.39 x 15.60 x 1.60 cm)
- Category Mathematics
- Library of Congress subjects Forms, Quadratic, Algebraic number theory
- Library of Congress Catalogue Number 2010927446
- Dewey Decimal Code 512.74
- Quantity available 367
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From the rear cover
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.
