1.

Record Nr.

UNINA9910820305403321

Autore

Haddad Wassim M. <1961->

Titolo

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

Pubbl/distr/stampa

Princeton, : Princeton University Press, c2005

ISBN

1-68015-904-6

1-282-15830-9

9786612158308

1-4008-2697-7

Edizione

[Course Book]

Descrizione fisica

1 online resource (199 p.)

Collana

Princeton series in applied mathematics

Classificazione

UG 1000

Altri autori (Persone)

ChellaboinaVijaySekhar <1970->

NersesovSergey G. <1976->

Disciplina

536/.7

Soggetti

Thermodynamics - Mathematics

Differentiable dynamical systems

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

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

Nota di contenuto

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

Sommario/riassunto

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.