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Plane Algebraic Curves

  • Book
  • © 1986

Overview

Authors:
  1. Egbert Brieskorn

    1. Mathematisches Institut, Universität Bonn, Bonn, Germany

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  2. Horst Knörrer

    1. Mathematisches Institut, Universität Bonn, Bonn, Germany

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Table of contents (9 chapters)

  1. Front Matter

    Pages N1-vi
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  2. History of Algebraic Curves

    1. Front Matter

      Pages 1-2
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    2. Origin and generation of curves

      • Egbert Brieskorn, Horst Knörrer
      Pages 2-65

    3. Synthetic and analytic geometry

      • Egbert Brieskorn, Horst Knörrer
      Pages 66-102

    4. The development of projective geometry

      • Egbert Brieskorn, Horst Knörrer
      Pages 102-171

  3. Investigation of Curves by Elementary Algebraic Methods

    1. Polynomials

      • Egbert Brieskorn, Horst Knörrer
      Pages 172-202

    2. Definition and elementary properties of plane algebraic curves

      • Egbert Brieskorn, Horst Knörrer
      Pages 202-227

    3. The intersection of plane curves

      • Egbert Brieskorn, Horst Knörrer
      Pages 227-278

    4. Some simple types of curves

      • Egbert Brieskorn, Horst Knörrer
      Pages 278-322

  4. Investigation of Curves by Resolution of Singularities

    1. Front Matter

      Pages 323-325
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    2. Local investigations

      • Egbert Brieskorn, Horst Knörrer
      Pages 325-575

    3. Global Investigations

      • Egbert Brieskorn, Horst Knörrer
      Pages 576-693

  5. Back Matter

    Pages 694-721
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Keywords

Authors and Affiliations

  • Mathematisches Institut, Universität Bonn, Bonn, Germany

    Egbert Brieskorn, Horst Knörrer

Bibliographic Information

  • Book Title: Plane Algebraic Curves

  • Authors: Egbert Brieskorn, Horst Knörrer

  • DOI: https://doi.org/10.1007/978-3-0348-5097-1

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 1986

  • Softcover ISBN: 978-3-0348-5099-5Published: 11 April 2014

  • eBook ISBN: 978-3-0348-5097-1Published: 11 November 2013

  • Edition Number: 1

  • Number of Pages: VI, 721

  • Number of Illustrations: 16 b/w illustrations

  • Topics: Algebraic Geometry, Topology, Science, Humanities and Social Sciences, multidisciplinary

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