Arithmetic of Quadratic Forms

Paperback Engels 2012 2010e druk 9781461426189
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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.

Specificaties

ISBN13:9781461426189
Taal:Engels
Bindwijze:paperback
Aantal pagina's:238
Uitgever:Springer New York
Druk:2010

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Inhoudsopgave

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.-

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€ 192,99
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        Arithmetic of Quadratic Forms