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Introduction to synthetic differential geometry, and a synthetic theory of dislocations

Part of the Lecture Notes in Mathematics book series (LNM,volume 1174)

Keywords

  • Burger Vector
  • Classical Logic
  • Differential Calculus
  • Neighbour Relation
  • Synthetic Theory

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References

  1. B. A. Bilby, Continuous distribution of dislocations, Progr. in solid mechanics 1 (1959).

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  2. E. J. Dubuc, Sur les modèles de la géometrie differentielle synthétique, Cahiers de top. et géom. diff. 20 (1979), 231–279.

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  5. A. Kock, Differential forms with values in groups (preliminary report), Cahiers de top. et géom diff. 22 (1981), 141–148.

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  9. A. Kock and G. E. Reyes, Doctrines in categorical logic, in Hand-book of mathematical logic (ed. J. Barwise), North Holland Publishing Company 1977.

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  10. A. Kock and G. E. Reyes, Models for synthetic integration theory, Math. Scand. 48 (1981), 145–152.

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© 1986 Springer-Verlag

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Kock, A. (1986). Introduction to synthetic differential geometry, and a synthetic theory of dislocations. In: Categories in Continuum Physics. Lecture Notes in Mathematics, vol 1174. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076934

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  • DOI: https://doi.org/10.1007/BFb0076934

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16096-0

  • Online ISBN: 978-3-540-39760-1

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