Reissued in the Cambridge Mathematical Library, this classic book outlines the theory of thermodynamic formalism which was developed to describe the properties of certain physical systems consisting of a large number of subunits. Background material on physics has been collected in appendices to help the reader. Supplementary work is provided in the form of exercises and problems that were "open" at the original time of writing.
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'This is the second edition of the already classical book on the theory of thermodynamic formalism by David Ruelle.' Monatshefte für Mathematik
Book Description
Reissued in the Cambridge Mathematical Library, this classic book outlines the theory of thermodynamic formalism which was developed to describe the properties of certain physical systems consisting of a large number of subunits. Background material on physics has been collected in appendices to help the reader. Supplementary work is provided in the form of exercises and problems that were "open" at the original time of writing which are now included at the end of the book.
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6 of 6 people found the following review helpful:
4.0 out of 5 stars
Detailed, advanced and complete treatment.,
By Charles Ashbacher (Marion, Iowa United States) - See all my reviews (TOP 500 REVIEWER) (VINE VOICE) (HALL OF FAME REVIEWER)
This review is from: Thermodynamic Formalism: The Mathematical Structure of Equilibrium Statistical Mechanics (Cambridge Mathematical Library) (Paperback)
Thermodynamic formalism is an area of mathematics developed to describe physical systems with a large number of components. A combination of advanced physics and mathematics, it is used to describe dynamic systems moving towards equilibrium and quantum mechanics applied to systems. The level of this book is advanced, generally the material would only be suitable for students at the graduate level. Exercises are given at the end of each chapter, although solutions are not provided. Additional background material on the necessary physics is included in a series of appendices.
The treatment of thermodynamic formalism is brief, detailed and complete. I strongly recommend the book as a textbook or study aid in that area.
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Inside This Book
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First Sentence:
The formalism of equilibrium statistical mechanics - which we shall call thermodynamic formalism - has been developed since G. W. Gibbs to describe the properties of certain physical systems. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
conjugating homeomorphisms, abstract dynamical system, vague topology, compact metrizable space, thermodynamic formalism, unique equilibrium state, ergodic states, ergodic decomposition, topological entropy, expanding maps, lim lim sup, finite open cover, lattice systems, extremal points, periodic points, thermodynamic limit, closed convex hull, invariant states, symbolic dynamics, equilibrium statistical mechanics Key Phrases - Capitalized Phrases (CAPs): (learn more)
Theorem Let, Proposition Let, Theorem Given, Lemma Let, Corollary Let New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
The formalism of equilibrium statistical mechanics - which we shall call thermodynamic formalism - has been developed since G. W. Gibbs to describe the properties of certain physical systems. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
conjugating homeomorphisms, abstract dynamical system, vague topology, compact metrizable space, thermodynamic formalism, unique equilibrium state, ergodic states, ergodic decomposition, topological entropy, expanding maps, lim lim sup, finite open cover, lattice systems, extremal points, periodic points, thermodynamic limit, closed convex hull, invariant states, symbolic dynamics, equilibrium statistical mechanics Key Phrases - Capitalized Phrases (CAPs): (learn more)
Theorem Let, Proposition Let, Theorem Given, Lemma Let, Corollary Let New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 18
books:
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90
books
cite this book:
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- Gibbs States on Countable Sets (Cambridge Tracts in Mathematics) by Christopher J. Preston in Back Matter
- Transcendental Number Theory (Cambridge Mathematical Library) by Alan Baker in Front Matter
- Methods of Algebraic Geometry: Volume 1 (Cambridge Mathematical Library) by W. V. D. Hodge in Front Matter
- Algebraic Graph Theory (Cambridge Mathematical Library) by Norman Biggs in Front Matter
- The Theory of Bernoulli Shifts (Lectures in Mathematics) by Paul C. Shields in Back Matter
See all 18 books this book cites
- Dynamics and Randomness (Nonlinear Phenomena and Complex Systems) by Alejandro Maass on page 30, page 225, and Back Matter
- An Introduction to Chaos in Nonequilibrium Statistical Mechanics (Cambridge Lecture Notes in Physics) by J. R. Dorfman in Back Matter (1), and Back Matter (2)
- Entropy (Princeton Studies in Applied Mathematics) by Andreas Greven on page 327, and Back Matter
- Ergodic Theory, Analysis and Efficient Simulation of Dynamical Systems by Bernold Fiedler on page 547, and page 559
- Representation Theory, Dynamical Systems, and Asymptotic Combinatorics (American Mathematical Society Translations Series 2) by V. Kaimanovich and A. Lodkin on page 165, and page 183
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