Explores fundamental solutions in partial differential equations, highlighting their significance in mathematical applications.
Explores propositions, proofs, and contraposition in mathematical theory, emphasizing logical rules and proof methods.
Covers proof techniques including direct proof, contraposition, contradiction, cases, and counterexample.
Covers the proof of the Bourgain's ARV Theorem, focusing on the finite set of points in a semi-metric space and the application of the ARV algorithm to find the sparsest cut in a graph.
Covers the Fourier inversion formula, exploring its mathematical concepts and applications, emphasizing the importance of understanding the sign.
