Lectures related to Galoisian Coating and Totally Discontinuous Actions

Covers the concept of norms in Rn and their applications.

Explores the composition of applications in mathematics and the importance of understanding their properties.

Covers Banach and Hilbert spaces, separability, norm, continuity, and functional analysis.

Covers fundamental concepts of space, topology, groups, and homology theory.

Covers the concept of lines spaces and equivalent matrices in linear algebra.

Delves into the concept of proof in mathematics, emphasizing the importance of evidence and logical reasoning.

Introduces Cartesian product and induction for proofs using integers and sets.

Covers the definition and properties of Hilbert spaces, including the Cauchy-Schwarz inequality and norm definition.

Covers Hilbert's theorem, direct methods, and Sobolev spaces, including classical and modern methods.