This 2006 textbook provides a concise introduction to the key concepts and tools of statistical mechanics. It also covers advanced topics such as non-relativistic quantum field theory and numerical methods. After introducing classical analytical techniques, such as cluster expansion and Landau theory, the authors present important numerical methods with applications to magnetic systems, Lennard-Jones fluids and biophysics. Quantum statistical mechanics is discussed in detail and applied to Bose-Einstein condensation and topics in astrophysics and cosmology. In order to describe emergent phenomena in interacting quantum systems, canonical non-relativistic quantum field theory is introduced and then reformulated in terms of Feynman integrals. Combining the authors' many years' experience of teaching courses in this area, this textbook is ideal for advanced undergraduate and graduate students in physics, chemistry and mathematics.
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"It is a well-written book, providing general information and stimulating discussions on different and relevant topics in many-particle physical systems. In this sense it constitutes a short and introductory guide to many subjects which may be of interest for undergraduate and postgraduate students in physics, a purpose clearly established in the preface."
Marco Corgini, Mathematical Reviews
A concise 2006 introduction to key concepts and tools of statistical mechanics. Self-contained, it combines analytical and numerical techniques, and presents a diverse range of applications. Built on many years' teaching experience, this textbook is ideal for advanced students across the physical sciences.
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