Categories in Continuum Physics: Lectures given at a Workshop held at SUNY, Buffalo 1982

F. William Lawvere, Stephen H. Schanuel (auth.)3540160965, 9783540160960

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