ISBN 9780821887202,Basic Quadratic Forms

Basic Quadratic Forms


L J Gerstein


Universities Press

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ISBN 9780821887202

Universities Press

Publication Year 2012

ISBN 9780821887202

ISBN-10 0821887203

Paper Back

Number of Pages 255 Pages
Language (English)

Literature fiction

The arithmetic theory of quadratic forms is a rich branch of number theory that has had important applications to several areas of pure mathematics--particularly group theory and topology--as well as to cryptography and coding theory. This book is a self-contained introduction to quadratic forms that is based on graduate courses the author has taught many times. It leads the reader from foundation material up to topics of current research interest--with special attention to the theory over the integers and over polynomial rings in one variable over a field--and requires only a basic background in linear and abstract algebra as a prerequisite. Whenever possible, concrete constructions are chosen over more abstract arguments. The book includes many exercises and explicit examples, and it is appropriate as a textbook for graduate courses or for independent study. To facilitate further study, a guide to the extensive literature on quadratic forms is provided

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