Categories in Continuum Physics

Lectures Given at a Workshop Held at SUNY, Buffalo 1982
Herausgegeben:Lawvere, F. W.; Schanuel, Stephen H.

• Broschiertes Buch

Produktbeschreibung

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?.

Produktdetails

• Lecture Notes in Mathematics 1174
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-16096-0
• 1986.
• Seitenzahl: 132
• Erscheinungstermin: 1. Februar 1986
• Englisch
• Abmessung: 235mm x 155mm x 8mm
• Gewicht: 220g
• ISBN-13: 9783540160960
• ISBN-10: 3540160965
• Artikelnr.: 23588154

Inhaltsangabe

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?.