Normed SpacesCovers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.
Finite Degree ExtensionsCovers the concept of finite degree extensions in Galois theory, focusing on separable extensions.
Structure of AlgebrasCovers the structure of finite dimensional algebras and the characterization of semisimple algebras.
Affine Algebraic SetsCovers affine algebraic sets, hypersurfaces, elliptic curves, ideals, and Noetherian rings in algebraic geometry.
