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A History of Algebra

From al-Khwārizmī to Emmy Noether

  • Book
  • © 1985

Overview

Authors:
  1. Bartel Leenert Waerden

    1. Mathematisches Institut, Universität Zürich, Switzerland

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Table of contents (14 chapters)

  1. Front Matter

    Pages I-XI
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  2. Algebraic Equations

    1. Front Matter

      Pages 1-1
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    2. Three Muslimic Authors

      • Bartel Leenert van der Waerden
      Pages 3-31

    3. Algebra in Italy

      • Bartel Leenert van der Waerden
      Pages 32-62

    4. From Viète to Descartes

      • Bartel Leenert van der Waerden
      Pages 63-75

    5. The Predecessors of Galois

      • Bartel Leenert van der Waerden
      Pages 76-88

    6. Carl Friedrich Gauss

      • Bartel Leenert van der Waerden
      Pages 89-102

    7. Evariste Galois

      • Bartel Leenert van der Waerden
      Pages 103-116

    8. Camille Jordan

      • Bartel Leenert van der Waerden
      Pages 117-134

  3. Groups

    1. Front Matter

      Pages 135-135
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    2. Early Group Theory

      • Bartel Leenert van der Waerden
      Pages 137-159

    3. Lie Groups and Lie Algebras

      • Bartel Leenert van der Waerden
      Pages 160-174

  4. Algebras

    1. Front Matter

      Pages 175-175
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    2. The Discovery of Algebras

      • Bartel Leenert van der Waerden
      Pages 177-201

    3. The Structure of Algebras

      • Bartel Leenert van der Waerden
      Pages 202-217

    4. Group Characters

      • Bartel Leenert van der Waerden
      Pages 218-236

    5. Representations of Finite Groups and Algebras

      • Bartel Leenert van der Waerden
      Pages 237-251

    6. Representations of Lie Groups and Lie Algebras

      • Bartel Leenert van der Waerden
      Pages 252-263

  5. Back Matter

    Pages 265-274
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Keywords

Authors and Affiliations

  • Mathematisches Institut, Universität Zürich, Switzerland

    Bartel Leenert Waerden

Bibliographic Information

  • Book Title: A History of Algebra

  • Book Subtitle: From al-Khwārizmī to Emmy Noether

  • Authors: Bartel Leenert Waerden

  • DOI: https://doi.org/10.1007/978-3-642-51599-6

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1985

  • Softcover ISBN: 978-3-642-51601-6Published: 16 January 2013

  • eBook ISBN: 978-3-642-51599-6Published: 29 June 2013

  • Edition Number: 1

  • Number of Pages: XI, 274

  • Topics: Algebra

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