Arithmetic of quadratic forms

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 clwass field theory will be able to learn the arithmetic theory of quadratic forms with no further references --Book Jacket.

Year

2010

Language

English

Series

Springer monographs in mathematics

Publisher

Springer

Editions

1

Pages

237

ISBN

9781441917317

Data source: Wikidata