Lectures related to Sparsest Cut: (log n) Approximation Algorithm

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

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

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

Covers optimization algorithms, stable matching, and Big-O notation for algorithm efficiency.

Explores the application of the Gauss/Green theorem to calculate curve integrals along simple closed curves.

Covers indeterminate forms, logarithmic functions, and the 'role of the gendarmes' theorem.

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

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