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This book which is entitled "An introduction to Statistical physics and thermodynamics" introduces the central concepts of statistical mechanics, thermodynamics and quantum mechanics with their applications through an integrated set of problems and solutions designed for physics and engineering undergraduate students. The book covered mostly and directly based on my lectures for the last seven years of undergraduate course on statistical physics and thermodynamics. Most of the text books and reference books used by physics students usually had no clear justification and derivation of historical background between statistical mechanics, thermodynamics, quantum mechanics, solid state physics and classical mechanics. To clarify the correlation between these physics disciplines and to give a concise theoretical derivation and wide application, this text book would have a good role. In addition to offering a broad introduction to statistical mechanics and thermodynamics with their applications, the book has included several worked examples from statistical physics, thermodynamics, quantum mechanics and solid state physics.