Categories in Continuum Physics: Lectures given at a Workshop held at SUNY, Buffalo 1982 [1 ed.] 3540160965, 9783540160960
232 10 745KB
English Pages 126 [137] Year 1986
Table of contents :
Introduction....Pages 1-16
Continuum mechanics and geometric integration theory....Pages 17-29
Structure of continuum physics....Pages 30-37
On differentiable spaces....Pages 38-42
Cartesian closed categories and analysis of smooth maps....Pages 43-51
Introduction to synthetic differential geometry, and a synthetic theory of dislocations....Pages 52-68
Synthetic reasoning and variable sets....Pages 69-82
Recent research on the foundations of thermodynamics....Pages 83-99
Global and local versions of the second law of thermodynamics....Pages 100-114
Thermodynamics and the hahn-banach theorem....Pages 115-117
What is the length of a potato?....Pages 118-126
Introduction....Pages 1-16
Continuum mechanics and geometric integration theory....Pages 17-29
Structure of continuum physics....Pages 30-37
On differentiable spaces....Pages 38-42
Cartesian closed categories and analysis of smooth maps....Pages 43-51
Introduction to synthetic differential geometry, and a synthetic theory of dislocations....Pages 52-68
Synthetic reasoning and variable sets....Pages 69-82
Recent research on the foundations of thermodynamics....Pages 83-99
Global and local versions of the second law of thermodynamics....Pages 100-114
Thermodynamics and the hahn-banach theorem....Pages 115-117
What is the length of a potato?....Pages 118-126
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