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Thermodynamics: A Dynamical Systems Approach

โœ 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

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โœฆ 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.

โœฆ 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


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