This textbook is for undergraduate students on a basic course in Statistical Mechanics. The prerequisite is thermodynamics. It begins with a study of three situations — the closed system and the systems in thermal contact with a reservoir — in order to formulate the important fundamentals: entropy from Boltzmann formula, partition function and grand partition function. Through the presentation of quantum statistics, Bose statistics and Fermi–Dirac statistics are established, including as a special case the classical situation of Maxell–Boltzmann statistics. A series of examples ensue it: the harmonic oscillator, the polymer chain, the two level system, bosons (photons, phonons, and the Bose–Einstein condensation) and fermions (electrons in metals and in semiconductors). A compact historical note on influential scientists forms the concluding chapter. The unique presentation starts off with the principles, elucidating the well-developed theory, and only thereafter the application of theory. Calculations on the main steps are detailed, leaving behind minimal gap. The author emphasizes with theory the link between the macroscopic world (thermodynamics) and the microscopic world. Key Features • The presentation is novel: the book begins with the fundamental principles and applications. This shows that Statistical Mechanics has a logical structure • The book is particularly devoted to students and therefore the derivations are clearly presented. Each step of the calculations is explained so that the reader can easily follow the development of each topic • The book is adapted to a one semester course and contains what students need for their first degree in physics

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