Linear Algebra: Lecture NotesCovers determining vector spaces, calculating kernels and images, defining bases, and discussing subspaces and vector spaces.
Normed SpacesCovers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.
Linear Applications and SpanIntroduces linear applications, span, kernels, and images in vector spaces with illustrative examples and theorems.
Linear Algebra BasicsCovers the basics of linear algebra, including linear maps, bases, and matrix operations.