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Introduction to Quadratic Forms

  • Book
  • © 1973

Overview

Authors:
  1. O. T. O’Meara

    1. Department of Mathematics, University of Notre Dame, Notre Dame, USA

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Part of the book series: Grundlehren der mathematischen Wissenschaften (GL, volume 117 )

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Table of contents (10 chapters)

  1. Front Matter

    Pages I-XI
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  2. Arithmetic Theory of Fields

    1. Valuated Fields

      • O. T. O’Meara
      Pages 1-41

    2. Dedekind Theory of Ideals

      • O. T. O’Meara
      Pages 41-54

    3. Fields of Number Theory

      • O. T. O’Meara
      Pages 54-81

  3. Abstract Theory of Quadratic Forms

    1. Quadratic Forms and the Orthogonal Group

      • O. T. O’Meara
      Pages 82-112

    2. The Algebras of Quadratic Forms

      • O. T. O’Meara
      Pages 112-153

  4. Arithmetic Theory of Quadratic Forms over Fields

    1. The Equivalence of Quadratic Forms

      • O. T. O’Meara
      Pages 154-189

    2. Hilbert’s Reciprocity Law

      • O. T. O’Meara
      Pages 190-207

  5. Arithmetic Theory of Quadratic Forms over Rings

    1. Quadratic Forms over Dedekind Domains

      • O. T. O’Meara
      Pages 208-239

    2. Integral Theory of Quadratic Forms over Local Fields

      • O. T. O’Meara
      Pages 239-284

    3. Integral Theory of Quadratic Forms over Global Fields

      • O. T. O’Meara
      Pages 284-335

  6. Back Matter

    Pages 336-344
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Keywords

Authors and Affiliations

  • Department of Mathematics, University of Notre Dame, Notre Dame, USA

    O. T. O’Meara

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