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Description:The goal is to guide the reader to the current forefront of research. More This book begins where elementary books and courses leave off and covers the advances made in statistical mechanics in the past fifty years. The third part covers exactly solvable models which includes a detailed presentation of the Pfaffian methods of computing the Ising partition function, magnetization, correlation functions, and susceptibility; the star-triangle Yang—Baxter equation ; functional equations and the free energy for the eight-vertex model; and the hard hexagon and chiral Potts models. The second part is on series and numerical methods which includes derivations of the Mayer and Ree—Hoover expansions of the low density virial equation of state; Groeneveld's theorems; the application to hard spheres and discs; a summary of numerical studies of systems at high density; and the use of high temperature series expansions to estimate critical exponents for magnets. All needed mathematics is developed in detail and many open questions are discussed. The book is divided into three parts.

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