Physical and mathematical subjects that are addressed include:
- Introduction to direct and Markov-chain Monte Carlo sampling
- Equivalence of Newton and Boltzmann mechanics, classical Monte Carlo simulations
- Entropic interactions and a liquid-gas phase transition
- Monte Carlo integration
- Quantum statistical mechanics: path integral representation of the density matrix, quantum Monte Carlo simulations
- Bose-Einstein condensation
- The Ising model of ferromagnetism