Lectures related to Pythagorean theorem

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Introduces orthogonal vectors, scalar product, Euclidean norm, Pythagorean theorem, and unit vectors.

Explains the Open Mapping Theorem for holomorphic maps between Riemann surfaces.

Explores fundamental solutions in partial differential equations, highlighting their significance in mathematical applications.

Explores the Thales Theorem, stating equal ratios of segments in triangles.

Covers the application of Cauchy equations and integral decomposition, addressing questions related to holomorphic functions and Jacobian matrices.