Lectures related to Inclusion–exclusion principle

Explores the inclusion-exclusion formula in discrete mathematics, demonstrating its applications through examples and probability scenarios.

Covers the Principle of Inclusion-Exclusion for sets and introduces derangements.

Explores the Extended Binomial Theorem and counting problems using generating functions.

Covers the Pigeonhole Principle, its applications, and examples of its guarantees.

Explores Sobolev spaces in higher dimensions, discussing derivatives, properties, and challenges with continuity.

Covers the Bombieri-Vinogradov theorem and its implications for prime gaps and multiplicative sieve inequalities.