Perhaps my favorite book, long out of print, remarkably clear descriptions of classical statistical mechanics. Daniel V. Schroeder, An Introduction to Thermal Physics, Addison-Wesley, 2000. Another new book. This was almost the book I chose. I will be making some use of it.
Most derivations are remarkable complete.
Addison-Wesley, Reading, Massachusetts, 1975. Arnold Sommerfeld, Thermodynamics and Statistical Mechanics, Academic Press, New York, 1956. Contains lots of solved problems. Dirk ter Haar and H. Wergeland, Elements of Thermodynamics, Addison-Wesley, Reading Massachusetts, 1966. Dirk ter Haar, Elements of Statistical Mechanics, 3rd Ed.