<p>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 stati
Thermodynamics: A Dynamical Systems Approach
โ Scribed by Wassim M. Haddad; VijaySekhar Chellaboina; Sergey G. Nersesov
- Publisher
- Princeton University Press
- Year
- 2009
- Tongue
- English
- Leaves
- 199
- Series
- Princeton Series in Applied Mathematics; 23
- Edition
- Course Book
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
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.
โฆ Table of Contents
Contents
Preface
Chapter 1. Introduction
Chapter 2. Dynamical System Theory
Chapter 3. A Systems Foundation for Thermodynamics
Chapter 4. Temperature Equipartition and the Kinetic Theory of Gases
Chapter 5. Work, Heat, and the Carnot Cycle
Chapter 6. Thermodynamic Systems with Linear Energy Exchange
Chapter 7. Continuum Thermodynamics
Chapter 8. Conclusion
Bibliography
Index
๐ SIMILAR VOLUMES
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This book merges the two universalisms of thermodynamics and dynamical systems theory in a single compendium, with the latter providing an ideal language for the former, to develop a new and unique framework for dynamical thermodynamics. In particular, the book uses system-theoretic ideas to bring c
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