Combinatorics

How to count finite configurations without enumerating them

Also known as: Enumerative Combinatorics, Combinatorics and Graph Theory

5 lecture recordings, about 33 hours

Lecture recordings

Federico Ardila — Enumerative combinatorics, 27 lectures
Federico Ardila — Federico Ardila: Hopf Algebras and Combinatorics, 29 lectures
Federico Ardila — Federico Ardila: Enumerative Combinatorics, 27 lectures
Federico Ardila — Ardila - Enumerative Combinatorics (2015), 33 lectures
NPTEL — Algebraic Combinatorics, 85 lectures

What you need first

Discrete mathematics

What it opens up

Probability theory

Field of knowledge

Mathematics

The map of knowledge