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Statistical mechanics. Rigorous results. (English) Zbl 1016.82500
Singapore: World Scientific; London: Imperial College Press (ISBN 981-02-3862-2/hbk; 978-981-281-528-6/ebook). xiii, 219 p. (1999).
{For a review of the 1969 original, see Zbl 0177.57301.}
This is one of the true classics on equilibrium statistical mechanics, and, as the author states in his new preface, only a small fraction has been superceded. In addition to the extra references recommended here, I would like to mention the monograph by H.-O. Georgii [Gibbs measures and phase transitions, Berlin, de Gruyter (1988; Zbl 0657.60122)] and a recent introductory text by G. Keller [Equilibrium states in ergodic theory, Cambridge Univ. Press (1998; Zbl 0896.28006)].
It is good to see Ruelle’s book back in print and I am convinced it will continue to be one of the important and reliable sources in this field. I strongly recommend it to everybody who is interested in equilibrium statistical mechanics. It is actually hard to believe that this book was written more than 30 years ago!

MSC:
82-02 Research exposition (monographs, survey articles) pertaining to statistical mechanics
82B05 Classical equilibrium statistical mechanics (general)
82B10 Quantum equilibrium statistical mechanics (general)
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics
82B26 Phase transitions (general) in equilibrium statistical mechanics
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