Lectures related to Dirichlet Problem on the Ball

Covers the general existence result for the Laplace-Dirichlet problem and the properties of the Newtonian potential.

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

Covers the properties of harmonic functions and the concept of mollification.

Explores Euclid's first proposition, ancient symmetria, and Vitruvius' architectural figures.

Explores the axiom of separating the plane into two half-planes and the concept of interior points.

Covers the concept of area, axioms, and the area of rectangles.

Explores the concept of universal coating through detailed proofs and examples, emphasizing uniqueness and significance.

Explores proof concepts, techniques, and applications in logic, mathematics, and algorithms.

Covers the fundamental operations and constructions in Euclidean geometry, focusing on algebraic interpretations and ruler-and-compass constructions.