Lectures related to Theory of Computation: Counting and Decision Problems

Covers manifolds, topology, smooth maps, and tangent vectors in detail.

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

Presents a short proof of a conjecture by Erdös, exploring related questions and detailed proof of the proposition.

Covers selected topics in mathematics, including Taylor approximations and algebraic structures of Z and K[X].

Covers regular languages, encoding, alphabets, words, languages, concatenation, exponentiation, and iterative closure.

Explores toy models, sigma-algebras, T-valued random variables, measures, and independence in probability theory.