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Arithmetic of Quadratic Forms

Arithmetic of Quadratic Forms

Part of Cambridge Tracts in Mathematics

  • Date Published: April 1999
  • availability: Available
  • format: Paperback
  • isbn: 9780521649964

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About the Authors
  • 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 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 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.

    • Author is leading figure in the field
    • Suitable for use as a graduate textbook
    • Particularly of interest in Germany and USA
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    Reviews & endorsements

    ' … ideal for graduate students and researchers wishing for an insight into quadratic forms.' Extrait de L'Enseignement Mathématique

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    Product details

    • Date Published: April 1999
    • format: Paperback
    • isbn: 9780521649964
    • length: 284 pages
    • dimensions: 227 x 152 x 17 mm
    • weight: 0.385kg
    • availability: Available
  • Table of Contents

    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.

  • Author

    Yoshiyuki Kitaoka, Nagoya University, Japan

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