For those seeking clear and mathematically rigorous textbooks in thermodynamics and statistical mechanics, several recommendations stand out. H. B. Callen's "Thermodynamics and an Introduction to Statistical Physics" is favored for its introductory clarity. F. Reif's "Fundamentals of Statistical and Thermal Physics" is noted as a strong advanced option. C. M. Van Vliet’s "Equilibrium and Non-Equilibrium Statistical Mechanics" is also highly regarded. The Landau and Lifshitz series, particularly Volumes V, IX, and X, are recommended for their depth in quantum equilibrium and kinetic theory. Richard Fitzpatrick's website offers additional resources, while Ira Levine's textbook is considered good, although Atkins' approach is criticized for lacking depth in derivations. For supplementary materials, MIT's OpenCourseWare provides valuable lecture notes and video lectures on statistical mechanics.
