Landau Lifshitz 5 is among the best books on stat. mech. I know, but it's tough for the beginner. My favorite introductory undergrad book is
H. B. Callen, Thermodynamics and an Introduction to
Thermostatistics, John Wiley&Sons, New York, Chichester,
Brisbane, Toronto, Singapore, 2 ed. (1985).
though it's a bit too much emphasizing the phenomenological thermodynamics for my taste.
Another very good book is volume 5 of the Berkeley Physics course, written by F. Reif, who also wrote another famous more advanced book on the subject:
F. Reif, Statistical Physics, McGraw-Hill, New York, St.
Louis, San Francisco, London, Sydney (1965).
F. Reif, Fundamentals of statistical and thermal physics,
McGraw Hill Book Company, New York (1965).