Lectures related to Proofs: Contraposition vs. Contradiction

Introduces informal proofs, explores practical applications, and explains theorem proofs using direct and indirect methods.

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

Covers the basics of analysis, including real numbers, proofs, sets, and operations.

Explores real numbers, focusing on the square root of 2 and the implications of its irrationality.

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

Explores convergence in law for random variables, including Kolmogorov's theorem and proofs based on probability lemmas.

Explores Newton's Binomial Theorem, real positive non-integer exponents, and proof methods using contrapositive and absurd reasoning.

Covers the proof of the Jordan Curve Theorem and the properties of embedded spheres.