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Birkhäuser

Social History of Nineteenth Century Mathematics

  • Book
  • © 1981

Overview

Editors:
  1. Herbert Mehrtens

    1. Technische Universität Berlin, Berlin 10, Federal Republic of Germany

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  2. Henk Bos

    1. Math. Instituut, Rijksuniversiteit Utrecht, Budapestlaan 6, The Netherlands

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  3. Ivo Schneider

    1. Institut für Geschichte der Naturwissenschaften, Deutsches Museum, Universität München, München 26, Federal Republic of Germany

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xii
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  2. Aspects of a Fundamental Change the Early Nineteenth Century

    1. Front Matter

      Pages 1-1
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    2. Introduction

      • Henk Bos
      Pages 3-5

    3. Mathematics in the Early Part of the Nineteenth Century

      • Dirk J. Struik
      Pages 6-20

    4. Origins of the Program of “Arithmetization of Mathematics”

      • Hans Niels Jahnke, Michael Otte
      Pages 21-49

    5. Mathematics and Revolution from Lacroix to Cauchy

      • Herbert Mehrtens, Henk Bos, Ivo Schneider
      Pages 50-71

  3. The Professionalization of Mathematics and Its Educational Context

    1. Front Matter

      Pages 73-73
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    2. Introduction

      • Ivo Schneider
      Pages 75-88

    3. Forms of Professional Activity in Mathematics before the Nineteenth Century

      • Ivo Schneider
      Pages 89-110

    4. The Conception of Pure Mathematics as an Instrument in the Professionalization of Mathematics

      • Gert Schubring
      Pages 111-134

    5. Cambridge University and the Adoption of Analytics in Early Nineteenth-Century England

      • Philip C. Enros
      Pages 135-148

    6. A Survey of Factors Affecting the Teaching of Mathematics Outside the Universities in Britain in the Nineteenth Century

      • Leo Rogers
      Pages 149-164

    7. Mathematics in a Unified Italy

      • Umberto Bottazzini
      Pages 165-178

    8. The Employment of Mathematicians in Insurance Companies in the 19th Century

      • Horst-Eckart Gross
      Pages 179-196

  4. Individual Achievements in Social Context

    1. Front Matter

      Pages 197-197
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    2. Introduction

      • Henk Bos
      Pages 199-201

    3. Hamilton and Peacock on the Essence of Algebra

      • David Bloor
      Pages 202-232

    4. The Berlin School of Mathematics

      • Thomas Hawkins
      Pages 233-245

    5. F. Schleiermacher’s Influence on H. Grassmann’s Mathematics

      • Albert C. Lewis
      Pages 246-254

  5. Back Matter

    Pages 255-301
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Keywords

About this book

During the last few decades historians of science have shown a growing interest in science as a cultural activity and have regarded science more and more as part of the gene­ ral developments that have occurred in society. This trend has been less evident arnong historians of mathematics, who traditionally concentrate primarily on tracing the develop­ ment of mathematical knowledge itself. To some degree this restriction is connected with the special role of mathematics compared with the other sciences; mathematics typifies the most objective, most coercive type of knowledge, and there­ fore seems to be least affected by social influences. Nevertheless, biography, institutional history and his­ tory of national developments have long been elements in the historiography of mathematics. This interest in the social aspects of mathematics has widened recently through the stu­ dy of other themes, such as the relation of mathematics to the development of the educational system. Some scholars have begun to apply the methods of historical sociology of knowledge to mathematics; others have attempted to give a ix x Marxist analysis of the connection between mathematics and productive forces, and there have been philosophical studies about the communication processes involved in the production of mathematical knowledge. An interest in causal analyses of historical processes has led to the study of other factors influencing the development of mathematics, such as the f- mation of mathematical schools, the changes in the profes- onal situation of the mathematician and the general cultural milieu of the mathematical scientist.

Editors and Affiliations

  • Technische Universität Berlin, Berlin 10, Federal Republic of Germany

    Herbert Mehrtens

  • Math. Instituut, Rijksuniversiteit Utrecht, Budapestlaan 6, The Netherlands

    Henk Bos

  • Institut für Geschichte der Naturwissenschaften, Deutsches Museum, Universität München, München 26, Federal Republic of Germany

    Ivo Schneider

Bibliographic Information

  • Book Title: Social History of Nineteenth Century Mathematics

  • Editors: Herbert Mehrtens, Henk Bos, Ivo Schneider

  • DOI: https://doi.org/10.1007/978-1-4684-9491-4

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1981

  • Softcover ISBN: 978-0-8176-3033-1Published: 01 January 1981

  • eBook ISBN: 978-1-4684-9491-4Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XII, 301

  • Topics: History of Mathematical Sciences, Mathematics, general

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