LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	512
Title	Arithmetic of Quadratic Forms (EB) / by Goro Shimura.
Author	Shimura, Goro. , 1930-
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer
Publication	, 2010.
Physical Details	XII, 240 pages : online resource.
Series	Springer monographs in mathematics 1439-7382
ISBN	9781441917324
Summary Note	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.:
Contents note	Preface -- Notation and Terminology -- The Quadratic Reciprocity Law -- Arithmetic in an Algebraic Number Field -- Various Basic Theorems -- Algebras Over a Field -- Quadratic Forms Over a Field -- Deeper Arithmetic of Quadratic Forms -- Quadratic Diophantine Equations -- References -- Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-1-4419-1732-4
Links to Related Works	Subject References: Algebra . Forms, Quadratic . General Algebraic Systems . Mathematics . Number Theory . Authors: Shimura, Goro. 1930- . Corporate Authors: SpringerLink (Online service) . Series: Springer monographs in mathematics . Classification: 512 .

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Arithmetic of Quadratic Forms

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