The mathematical approach taken by the authors, as originally initiated by C. Caratheodory on the advice of Max Born, results in a book that makes a fundamental contribution to the field. The main emphasis is on the notion of large-scale dynamical systems applied to the multitude of small objects contained in the macroscale description. Indeed, thermodynamics is the dynamics of an extremely large number of objects numbering on the order of Avogadro's number. That some definite results arise from that setting is the marvel of it all.
This is an original theory with many attractive features and which captures the known statements from classical thermodynamics, avoiding at the same time imprecise formulations. The techniques are based on dynamical systems and control theory, which is unusual in the field, but the presentation is precise and well crafted.
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