Explore advanced concepts in statistical mechanics through this graduate-level lecture on "Introduction to Statistical Mechanics" by Professor Hubert Lacoin at the Instituto de Matemática Pura e Aplicada. Delve into Hamiltonian systems, Liouville's theorem, Poincaré recurrence theorem, Birkhoff's theorem, Boltzmann's hypothesis, statistical ensembles, Gibbs measure, Ising model, thermodynamic limit, FKG inequality, phase transitions, phase diagrams, FK models, and Pirogov-Sinai theory. Gain insights into topics such as spin configurations, local spin, contours, loops, and contour cardinality. Enhance your understanding of statistical mechanics through recommended readings from renowned authors like Feynman, Presutti, Friedli, and Velenik.