Lectures related to Demonstration of Theorem

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

Explores Newtonian potential in bounded domains, discussing its conditions and properties.

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

Explores geodesic convexity in metric spaces and its applications, discussing properties and the stability of inequalities.

Covers the Zig Zag Lemma and the long exact sequence of relative homology.

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Explains the Wronskian and its role in determining linear independence of solutions to differential equations.

Covers examples of direct and indirect proofs in mathematics.

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

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

Covers the approximation of functions in Sobolev spaces using smooth functions.

Discusses inductive propositions, their definitions, and applications in reasoning and evaluation techniques in Coq.

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

Covers proof techniques including direct proof, contraposition, contradiction, cases, and counterexample.

Covers the Fourier inversion formula, exploring its mathematical concepts and applications, emphasizing the importance of understanding the sign.

Explores harmonic forms on Riemann surfaces, covering uniqueness of solutions and the Riemann bilinear identity.

Explores curves with Poritsky property, Birkhoff integrability, and Liouville nets in billiards.

Covers the long exact sequence of relative homology groups and chain complexes.