Introduction to Quantum ChaosCovers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.
Normed SpacesCovers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.
Probability ConvergenceExplores probability convergence, discussing conditions for random variable sequences to converge and the uniqueness of convergence.