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

Copies in the Library

Location Call Number Status Location Service Notes
Lewis Library - Stacks QA243 .G47 2008 Browse related items Request

    Details

    Subject(s)
    Series
    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.
    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. Read more...
    Other views
    Staff view

    Supplementary Information

    Other versions