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The geometric challenge of Riemann and Clifford

  • Part 2 Historical and Epistemological Aspects of the Connexion Between Physics and Geometry
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Book cover 1830–1930: A Century of Geometry

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

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References

  1. R. Farwell and C. Knee, ‘The End of the Absolute: a Nineteenth-Century Contribution to General Relativity”, Stud. Hist. Phil. Sci., 21 (1990) 91–121; The Missing Link: Riemann's ‘Commentatio', Differential Geometry and Tensor Analysis”, Historia Mathe matica, (September 1990); ‘The Recovery of Certainity, the Role of Tensors in Changing Perceptions of Physical Space’ (submitted for publication).

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  2. G.F.B. Riemann, ‘Ueber die Hypothesen, welche der Geometrie zu Gründe liegen”, Bernhard Riemann's Gesammelte mathematische Werke und wissenschaftlicher Nachlass, H. Weber and R. Dedekind (eds.) (orig: Leipzig: 1876; reprint of 2nd edition of 1882, including supplement prepared by M. Noether and W. Witinger in 1902, New York: Dover, 1953).

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  3. W.K. Clifford, ‘On the Hypotheses which lie at the bases of Geometry”, Mathematical Papers (London: Macmillan, 1882), pp. 55–69.

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  4. Op. cit., note 3, pp. 21, 22.

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  5. T. Levi-Civita, The Absolute Differential Calculus (Calculus of Tensors) (New York Dover, 1977), p. 372.

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  6. A.S. Eddington, Space, Time and Gravitation (Cambridge: University Press, 1929), p. 192.

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  7. I. Kant, Critique of Pure Reason (tr. by N. Kemp Smith) (London: Macmillan, 1933) p. 503.

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  8. T.S. Kuhn, The Structure of Scientific Revolutions (Chicago: University Press, 1970).

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  9. A. Einstein, Relativity: The Special and the General Theory (London: Methuen, orig. 1920, reprint 1968), p. 113.

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  10. Op. cit. note 2.

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  11. A.S. Eddington, The Philosophy of Physical Sciences (Cambridge: University Press, 1949), pp. 86–7.

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  12. Quoted in G. Holton, ‘Mach, Einstein and the Search for Reality', Darwin to Einstein, C. Chant and J. Fauvel (eds.) (Harlow: ) p. 253.

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Author information

Authors and Affiliations

  1. Respectively, Department of Mathematical Sciences, Brighton Polytechnic, BN2 4GJ, Moulsecoomb, Brighton

    Ruth Farwell & Christopher Knee

  2. Department of Sociology, St. Mary's College, Strawberry Hill, TW1 4SX, Twickenham, UK

    Ruth Farwell & Christopher Knee

Authors
  1. Ruth Farwell
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  2. Christopher Knee
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Editor information

Luciano Boi Dominique Flament Jean-Michel Salanskis

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© 1992 Springer-Verlag

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Farwell, R., Knee, C. (1992). The geometric challenge of Riemann and Clifford. In: Boi, L., Flament, D., Salanskis, JM. (eds) 1830–1930: A Century of Geometry. Lecture Notes in Physics, vol 402. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-55408-4_56

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  • DOI: https://doi.org/10.1007/3-540-55408-4_56

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55408-0

  • Online ISBN: 978-3-540-47058-8

  • eBook Packages: Springer Book Archive

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