This text marks the beginning of an era of vigorous mathematical progress in equilibrium statistical mechanics. It treats the infinite system limit, and discusses thermodynamic functions and states. The conceptual foundation provided by the book should be useful for the study of developments of statistical mechanics in the second half of the 20th century.
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1 of 1 people found the following review helpful:
5.0 out of 5 stars
classic,
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This review is from: Statistical Mechanics: Rigorous Results (Hardcover)
"Statistical mechanics" is a seminal book about thermodynamic systems, written in 1968.
As the subtitle suggests, the mathematical treatment of thermodynamic systems is rigorous. While it is outdated, it can serve as a reference books. I found it useful even though I"m not in physics but statistics.
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Excellent, simply excellent !!!,
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This review is from: Statistical Mechanics: Rigorous Results (Hardcover)
This book gives a very detailed, very useful introduction to the mathematical backgrounds of the thermodynamics field: this book is really indispensable for every thoughtful maths/physics/chemistry student, as well as for the already formed, profound specialists in the field(s) ...
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First Sentence:
In this chapter, we review the systems and ensembles which will be used in the rest of the monograph. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
classical continuous systems, classical lattice systems, quantum lattice systems, ergodic states, lattice gases, cyclic representation, mean entropy, reduced density matrices, grand partition function, invariant mean, invariant states, periodic box, thermodynamic limit, thermodynamic behavior, weak closure, canonical ensemble, finite multiplicity, pair potential, equilibrium statistical mechanics, quantum statistical mechanics, extremal point, quantum case Key Phrases - Capitalized Phrases (CAPs): (learn more)
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In this chapter, we review the systems and ensembles which will be used in the rest of the monograph. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
classical continuous systems, classical lattice systems, quantum lattice systems, ergodic states, lattice gases, cyclic representation, mean entropy, reduced density matrices, grand partition function, invariant mean, invariant states, periodic box, thermodynamic limit, thermodynamic behavior, weak closure, canonical ensemble, finite multiplicity, pair potential, equilibrium statistical mechanics, quantum statistical mechanics, extremal point, quantum case Key Phrases - Capitalized Phrases (CAPs): (learn more)
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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 7
books:
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36
books
cite this book:
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- Statistical Mechanics by Joseph E. Mayer in Back Matter (1), and Back Matter (2)
- Lectures in Statistical Mechanics (Lectures in Applied Mathematics Series, Vol 1) by George Uhlenbeck in Back Matter
- Linear Operators, Part 1: General Theory (Pure and Applied Mathematics, Vol. 7) by Nelson Dunford in Back Matter
- Mathematical Foundations of Information Theory (Dover Books on Mathematics) by A. Ya. Khinchin in Back Matter
- Mathematical Problems of Relativistic Physics (Lectures in Applied Mathematics Series, Vol 2) by E. E. Segal in Back Matter
See all 7 books this book cites
- Doing Mathematics: Convention, Subject, Calculation, Analogy by Martin H. Krieger in Back Matter (1), and Back Matter (2)
- Fundamental Aspects of Quantum Physics: Proceedings of the Japan-Italy Joint Workshop on Quantum Open Systems, Quantum Chaos and Quantum Measurement : ... Probability and White Noise Analysis, 17) by Quantum Chaos and Japan-Italy Joint Workshop on Quantum Open Systems on page 78, and page 118
- Entropy, Large Deviations, and Statistical Mechanics (Classics in Mathematics) by Richard Ellis in Back Matter
- Field Theory, Disorder and Simulations (Lecture Notes in Physics) by Giorgio Parisi on page 335
- Stochastic Analysis and Mathematical Physics 1: ANESTOC'98 Proceedings of the Third International Workshop (Trends in Mathematics) by Rolando Rebolledo on page 70
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