Signal RepresentationsCovers the representation of signals in vector spaces and inner product spaces, including the Projection Theorem.
Normed SpacesCovers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.
Linear Algebra: Quantum MechanicsExplores the application of linear algebra in quantum mechanics, emphasizing vector spaces, Hilbert spaces, and the spectral theorem.