Thermodynamics : a dynamical systems approach / Wassim M. Haddad, VijaySekhar Chellaboina, Sergey G. Nersesov.

Format:

Book

Author/Creator:

Haddad, Wassim M., 1961-

Contributor:

Chellaboina, VijaySekhar, 1970-

Nersesov, Sergey G., 1976-

Series:

Princeton series in applied mathematics.

Princeton series in applied mathematics

Language:

English

Subjects (All):

Thermodynamics--Mathematics.

Thermodynamics.

Differentiable dynamical systems.

Physical Description:

1 online resource (199 p.)

Edition:

Course Book

Place of Publication:

Princeton : Princeton University Press, c2005.

Language Note:

English

Summary:

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.

Contents:

Frontmatter

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

Notes:

Description based upon print version of record.

Includes bibliographical references (p. [175]-183) and index.

ISBN:

9786612158308

9781680159042

1680159046

9781282158306

1282158309

9781400826971

1400826977

OCLC:

979576705