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Basic quadratic forms / Larry J. Gerstein.
Author
Gerstein, Larry J.
[Browse]
Format
Book
Language
English
Published/Created
Providence, R.I. : American Mathematical Society, ©2008.
Description
xiii, 255 pages : illustrations ; 27 cm.
Availability
Available Online
Online Content
Graduate studies in mathematics 1993-2011
Copies in the Library
Location
Call Number
Status
Location Service
Notes
Lewis Library - Stacks
QA243 .G47 2008
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Details
Subject(s)
Forms, Quadratic
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Equations, Quadratic
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Number theory
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Series
Graduate studies in mathematics ; v. 90.
[More in this series]
Graduate studies in mathematics, 1065-7339 ; v. 90
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Summary note
"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."--Publisher's description.
Bibliographic references
Includes bibliographical references (p. 245-249) and index.
Contents
A brief classical introduction
Quadratic spaces and lattices
Valuations, local fields, and p-adic numbers
Quadratic spaces over Qp
Quadratic spaces over Q
Lattices over principal ideal domains
Initial integral results
Local classification of lattices
The local-global approach to lattices
Lattices over Fq(x)
Applications to cryptography.
Show 8 more Contents items
ISBN
0821844652
9780821844656 ((alk. paper))
LCCN
2007062041
OCLC
185095772
International Article Number
9780821844656
Statement on language in description
Princeton University Library aims to describe library materials in a manner that is respectful to the individuals and communities who create, use, and are represented in the collections we manage.
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Basic quadratic forms / Larry J. Gerstein.
id
99112385063506421
Basic quadratic forms / Larry J. Gerstein.
id
99125328421806421