Thermodynamics

This is an original contribution to the important, but very diverse, field of thermodynamics. The book's self-contained system-theoretic approach makes it accessible to a wide audience of readers. -- Jan Willems, University of Gronigen This is a truly original and fundamental contribution to the field of thermodynamics. It will make a lasting contribution to the literature. -- Naira Hovakimyan, Virginia Polytechnic Institute and State University

Places thermodynamics on a system-theoretic foundation so as to harmonize it with classical mechanics. This book suggests that many physicists and engineers who have developed the theory of thermodynamics seem to have forgotten that mathematics, when used rigorously, is the irrefutable pathway to truth.This book places thermodynamics on a system-theoretic foundation so as to harmonize it with classical mechanics. Using the highest standards of exposition and rigor, the authors develop a novel formulation of thermodynamics that can be viewed as a moderate-sized system theory as compared to statistical thermodynamics. This middle-ground theory involves deterministic large-scale dynamical system models that bridge the gap between classical and statistical thermodynamics. The authors' theory is motivated by the fact that a discipline as cardinal as thermodynamics--entrusted with some of the most perplexing secrets of our universe--demands far more than physical mathematics as its underpinning. Even though many great physicists, such as Archimedes, Newton, and Lagrange, have humbled us with their mathematically seamless eurekas over the centuries, this book suggests that a great many physicists and engineers who have developed the theory of thermodynamics seem to have forgotten that mathematics, when used rigorously, is the irrefutable pathway to truth. This book uses system theoretic ideas to bring coherence, clarity, and precision to an extremely important and poorly understood classical area of science.