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Quadratic Forms with Applications to Algebraic Geometry and Topology

Quadratic Forms with Applications to Algebraic Geometry and Topology

$67.00 (C)

Part of London Mathematical Society Lecture Note Series

  • Date Published: October 1995
  • availability: Available
  • format: Paperback
  • isbn: 9780521467551

$ 67.00 (C)
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About the Authors
  • This volume discusses results about quadratic forms that give rise to interconnections among number theory, algebra, algebraic geometry, and topology. The author deals with various topics including Hilbert's 17th problem, the Tsen-Lang theory of quasi-algebraically closed fields, the level of topological spaces, and systems of quadratic forms over arbitrary fields. Whenever possible, proofs are short and elegant, and the author has made this book as self-contained as possible. This book brings together thirty years' worth of results certain to interest anyone whose research touches on quadratic forms.

    • Very well known figure
    • Material that cannot be found elsewhere
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    Reviews & endorsements

    'A very readable complement to the standard treatments.' Mathematica

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    Product details

    • Date Published: October 1995
    • format: Paperback
    • isbn: 9780521467551
    • length: 188 pages
    • dimensions: 232 x 154 x 11 mm
    • weight: 0.29kg
    • availability: Available
  • Table of Contents

    1. The representation theory of Cassels
    2. Multiplicative quadratic forms
    3. The level of fields, rings and topological spaces
    4. Hilbert's homogeneous nullstellensatz
    5. Tsen-Lang theory
    6. Hilbert's 17th problem
    7. The Pythagoras number
    8. The u-invariant
    9. Systems of quadratic forms
    10. The level of projective spaces.

  • Author

    Albrecht Pfister, Johannes Gutenberg Universit├Ąt Mainz, Germany

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