I'd like recommendations for an undergraduate level statistical mechanics textbook, for someone who has knowledge on classical thermodynamics, but none of it's relationships to statistical mechanics.
This page: Resource recommendations, lists as the undergraduate level option, a closed question due to duplicate. The duplicate: Recommendations for statistical mechanics book, is somewhat confusing asking for advanced/graduate statistical mechanics books.
This answer is based on my answer to Recommendations for statistical mechanics book.
I find that most advanced physics (not just stat mech) books range from bad to awful. Sadly, most standard books used on courses fall into this category.
I'll list them from simplest to hardest.
Tong, Statistical physics lectures: Excellent for a first look on stat mech as an advanced undergrad. Free, available in the link. excellent prose. Good conceptual explanations. It covers all the basic results. For more advanced things or in depth, you'll need to consult other sources. Overall the best option.
Reif, Fundamentals of statistical and thermal physics: Not just good explanations, also makes you know which are the important things on each subject. Excellent prose, great conceptual explanations. A bit old. Excellent for most topics. The last part covers advanced kinetic theory, irreversible processes and fluctuations. I'd check this one when Tong's lectures are not enough.
Landau and Lifshitz, Statistical Physics: Volume 5: Just as Reif, it lets you know which things are important, but indirectly. Basically, if it isn't important, it's not in this book. The writing is excellent. Good explanations. Focus on central concepts. A lot of subjects are treated differently to standard books, usually simpler and relying more on physical grounds. Won't lose time over non important things. Almost every subject's simplest solution is found in this book. Too hard for humans. I'd take this one as the third option, unless you are well versed in the subject of interest.
Also, i'd recommend a special book only for examples:
Cini, Fucito and Sbragalia, Solved Problems in Quantum and Statistical Mechanics: lots of examples, it has 200 pages of solved problems in stat mech. Decent explanations, not telegraphic, way better than other more known solved problems books, like Kubo or Dalvit.