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Master the fundamental principles of statistical mechanics through this comprehensive lecture series from the NCCR SwissMAP Mathematical Physics program. Explore the mathematical foundations that connect microscopic particle behavior to macroscopic thermodynamic properties across nearly 22 hours of detailed instruction. Delve into probability distributions, ensemble theory, partition functions, and the statistical interpretation of entropy while developing the mathematical tools necessary for understanding phase transitions and critical phenomena. Learn how statistical mechanics bridges quantum mechanics and thermodynamics, providing the theoretical framework for analyzing complex many-body systems in physics, chemistry, and materials science. Build proficiency in calculating thermodynamic quantities from first principles and gain insight into the statistical origins of the laws of thermodynamics through rigorous mathematical derivations and problem-solving techniques essential for advanced studies in theoretical physics.
