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  • Conference proceedings
  • © 1992

1830–1930: A Century of Geometry

Epistemology, History and Mathematics

Part of the book series: Lecture Notes in Physics (LNP, volume 402)

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Table of contents (24 papers)

  1. Front Matter

  2. The birth of non-Euclidean geometry

    • Christian Houzel
    Pages 1-21
  3. Apparent contours from Monge to Todd

    • Bernard Teissier
    Pages 55-62
  4. Geometrie und Erfahrung

    • F. Balibar
    Pages 91-97
  5. The geometric challenge of Riemann and Clifford

    • Ruth Farwell, Christopher Knee
    Pages 98-106
  6. The formal and the transcendental in mathematics

    • Gilles Gaston Granger
    Pages 178-183
  7. Un Panorama des Mathématiques

    • René Thom
    Pages 184-191
  8. What is space?

    • Hans Freudenthal
    Pages 199-204

About this book

In the first half of the 19th century geometry changed radically, and withina century it helped to revolutionize both mathematics and physics. It also put the epistemology and the philosophy of science on a new footing. In this volume a sound overview of this development is given by leading mathematicians, physicists, philosophers, and historians of science. This interdisciplinary approach gives this collection a unique character. It can be used by scientists and students, but it also addresses a general readership.

Keywords

  • Erkenntnistheorie
  • Geometrie
  • Mathematik/Geschichte
  • Physik
  • Wissenschaftsgeschichte
  • calculus
  • differential geometry
  • epistemology
  • geometry
  • history of science
  • physics
  • quantum physics
  • relativity
  • special relativity
  • theory of relativity

Bibliographic Information

  • Book Title: 1830–1930: A Century of Geometry

  • Book Subtitle: Epistemology, History and Mathematics

  • Editors: Luciano Boi, Dominique Flament, Jean-Michel Salanskis

  • Series Title: Lecture Notes in Physics

  • DOI: https://doi.org/10.1007/3-540-55408-4

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1992

  • Softcover ISBN: 978-3-662-13890-8Published: 23 August 2014

  • eBook ISBN: 978-3-540-47058-8Published: 13 August 2005

  • Series ISSN: 0075-8450

  • Series E-ISSN: 1616-6361

  • Edition Number: 1

  • Number of Pages: VIII, 304

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Theoretical, Mathematical and Computational Physics, Geometry, Analysis

Buying options

Softcover Book USD 139.99
Price excludes VAT (USA)