Categories in continuum physics : lectures given at a workshop held at SUNY, Buffalo, 1982

書誌事項

Categories in continuum physics : lectures given at a workshop held at SUNY, Buffalo, 1982

edited by F.W. Lawvere and S.H. Schanuel

(Lecture notes in mathematics, 1174)

Springer-Verlag, c1986

  • : gw
  • : us

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内容説明・目次

目次

Continuum mechanics and geometric integration theory.- Structure of continuum physics.- On differentiable spaces.- Cartesian closed categories and analysis of smooth maps.- to synthetic differential geometry, and a synthetic theory of dislocations.- Synthetic reasoning and variable sets.- Recent research on the foundations of thermodynamics.- Global and local versions of the second law of thermodynamics.- Thermodynamics and the hahn-banach theorem.- What is the length of a potato?.

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