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1830–1930: A Century of Geometry

Epistemology, History and Mathematics

  • Conference proceedings
  • © 1992

Overview

Editors:
  1. Luciano Boi
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  2. Dominique Flament
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  3. Jean-Michel Salanskis
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Part of the book series: Lecture Notes in Physics (LNP, volume 402)

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Table of contents (24 papers)

  1. Front Matter

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  2. The birth of non-Euclidean geometry

    • Christian Houzel
    Pages 1-21

  3. Riemann's vision of a new approach to geometry

    • Erhard Scholz
    Pages 22-34

  4. Poincaré and Klein — groups and geometries

    • J. J. Gray
    Pages 35-44

  5. Klein, Lie, and the “Erlanger programm”

    • David E. Rowe
    Pages 45-54

  6. Apparent contours from Monge to Todd

    • Bernard Teissier
    Pages 55-62

  7. L'Espace : Concept abstrait et/ou physique ; la géométrie entre formalisation mathématique et etude de la nature

    • Luciano Boi
    Pages 63-90

  8. Geometrie und Erfahrung

    • F. Balibar
    Pages 91-97

  9. The geometric challenge of Riemann and Clifford

    • Ruth Farwell, Christopher Knee
    Pages 98-106

  10. Poincaré et Enriques : deux points de vue différents sur les relations entre géométrie, mécanique et physique

    • Giorgio Israel
    Pages 107-126

  11. Physical geometry and special relativity. Einstein et Poincaré

    • Michel Paty
    Pages 127-149

  12. Transport parallèle et connexions en Géométrie et en Physique

    • Jean-Pierre Bourguignon
    Pages 150-164

  13. De la Géométrie Formelle à l'Algèbre Abstraite

    • Hourya Sinaceur
    Pages 165-174

  14. Le Principe de Dualité : sa Signification Historique et Epistémologique

    • Ludovico Geyrnonat
    Pages 175-177

  15. The formal and the transcendental in mathematics

    • Gilles Gaston Granger
    Pages 178-183

  16. Un Panorama des Mathématiques

    • René Thom
    Pages 184-191

  17. Mathematical progress as synthesis of intuition and calculus

    • Klaus Volkert
    Pages 192-198

  18. What is space?

    • Hans Freudenthal
    Pages 199-204

  19. La “lineale ausdehnungslehre” (1844) de Hermann Günther Grassmann

    • Dominique Flament
    Pages 205-221

  20. La capture de l'extension comme dialectique géométrique : Dimension et puissance selon l'ausdehnung de Grassmann (1844)

    • Gilles Châtelet
    Pages 222-244
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Keywords

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.

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

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