Owen D.R. A First Course in the Mathematical Foundations of Thermodynamics

Springer, 1983. — 134 p.Research in the past thirty years on the foundations of thermodynamics has led not only to a better understanding of the early developments of the subject but also to formulations of the First and Second Laws that permit both a rigorous analysis of the consequences of these laws and a substantial broadening of the class of systems to which the laws can fruitfully be applied. Moreover, modern formulations of the laws of thermodynamics have now achieved logically parallel forms at a level accessible to undergraduate students in science and engineering who have completed the standard calculus sequence and who wish to understand the role which mathematics can play in scientific inquiry.