Lectures related to Counting Poker Dices: Combinatorial and Analytical Proofs

Explains the inverse function identity and provides examples with ln(x), sin(x), and cos(x).

Covers the l2-embeddability theorem, isometric embeddings, positive semidefinite matrices, and eigenvalues computation.

Covers Taylor polynomials and their role in approximating functions in multiple variables.

Delves into the historical challenge of duplicating the cube, exploring construction methods, misattributions, and geometric concepts.

Covers the definition of convex functions and their properties in optimization.

Introduces the principle of mathematical induction through an example.

Covers the concept of outer measure and properties of measurable sets.