Arithmetic of Quadratic Forms [Paperback]

Provides an introduction to quadratic forms.The aim of this book is to provide an introduction to quadratic forms that builds from basics up to the most recent results. Professor Kitaoka is well know for his work in this area, and in this book he covers many aspects of the subject, including lattice theory, Siegel's formula, and some results involving tensor products of positive definite quadratic forms. The reader is required to have only a knowledge of algebraic number fields, making this book ideal for graduate students and researchers wishing for an insight into quadratic forms.The aim of this book is to provide an introduction to quadratic forms that builds from basics up to the most recent results. Professor Kitaoka is well know for his work in this area, and in this book he covers many aspects of the subject, including lattice theory, Siegel's formula, and some results involving tensor products of positive definite quadratic forms. The reader is required to have only a knowledge of algebraic number fields, making this book ideal for graduate students and researchers wishing for an insight into quadratic forms.This book provides an introduction to quadratic forms, building from basics to the most recent results. Professor Kitaoka is well known for his work in this area, and in this book he covers many aspects of the subject, including lattice theory, Siegel's formula, and some results involving tensor products of positive definite quadratic forms. The reader should have a knowledge of algebraic number fields, making this book ideal for graduate students and researchers wishing for an insight into quadratic forms.Preface; 1. General theory of quadratic forms; 2. Positive definite quadratic forms over R; 3. Quadratic forms over local fields; 4. Quadratic forms over Q; 5. Quadratic forms over the p-adic integer ring; 6. Quadratic forms over Z; 7. Some functorial properties of positive definite quadratic forms; Notes; References; Index.' & ideal for graduate studel3¨