This book covers the foundations of classical thermodynamics, with emphasis on the use of differential forms of classical and quantum statistical mechanics, and also on the foundational aspects. In both contexts, a number of applications are considered in detail, such as the general theory of response, correlations and fluctuations, and classical and quantum spin systems. In the quantum case, a self-contained introduction to path integral methods is given. In addition, the book discusses phase transitions and critical phenomena, with applications to the Landau theory and to the Ginzburg-Landau theory of superconductivity, and also to the phenomenon of Bose condensation and of superfluidity. Finally, there is a careful discussion on the use of the renormalization group in the study of critical phenomena.

From the Publisher

The book aims to bridge the gap between standard textbooks onthe subject and more advanced books, discussing in a more thorough waythe foundations of both classical and quantum statisticalmechanics. It is devised for a one-semester graduate course onstatistical mechanics. Its prerequisite is therefore a more elementarycourse on the same subject. Emphasis is laid on the geometricalaspects of classical thermodynamics, on the foundational problems, andon selected applications (mainly to spin systems), the meaning ofquantum statistics, phase transitions, critical phenomena, and therenormalization group.

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