Statistical Mechanics in a Nutshell
  I give a concise introduction to some essential concepts of statistical mechanics:   1. Probability theory (constrained distributions, concentration theorem, frequency estimation, hypothesis testing);   2. Macroscopic systems in equilibrium (macrostate, thermodynamic variables, entropy, first law, thermodynamic potentials, correlations);   3. Linear response (Kubo formula). 
Jochen Rau (MPI-PKS Dresden)