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.
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