Signal RepresentationsCovers the representation of signals in vector spaces and inner product spaces, including the Projection Theorem.
Convergence and Cauchy SequencesExplores convergence and Cauchy sequences, including the Bolzano-Weierstrass theorem and the properties of convergent sequences.
Convergence in R^nExplores open and closed subsets, convergence in R^n, and bounded sequences.
Stone-Weierstrass TheoremExplores the Stone-Weierstrass theorem, proving uniform density of specific function families on compact sets.