Introduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.
Explores probability convergence, discussing conditions for random variable sequences to converge and the uniqueness of convergence.
Covers the properties of complete spaces, including completeness, expectations, embeddings, subsets, norms, Holder's inequality, and uniform integrability.
Explores convergence and Cauchy sequences, including the Bolzano-Weierstrass theorem and the properties of convergent sequences.
