Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.
Covers the definition and properties of linear forms in vector spaces, including generating families and direct sums.
Explores visualizing the Fourth Dimension and introduces vector spaces, linear applications, and transformations.
Covers determining vector spaces, calculating kernels and images, defining bases, and discussing subspaces and vector spaces.
Introduces linear applications, span, kernels, and images in vector spaces with illustrative examples and theorems.
Covers concrete categories with sets and structures, including Ens, Gr, Ab, and Vectk.
