Thermodynamics: A Dynamical Systems Approach (Princeton Series in Applied Mathematics Book 12)
Thermodynamics: A Dynamical Systems Approach (Princeton Series in Applied Mathematics Book 12)
English | January 10, 2009 | ASIN: B002WJM5PU | 232 pages | EPUB (True) | 6.45 MB
English | January 10, 2009 | ASIN: B002WJM5PU | 232 pages | EPUB (True) | 6.45 MB
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.