Probability Theory
The Probabilistic Method
Maybe the most interesting proof method
Combinatorics
Poisson
The ‘Balls Into Bins’ Process and Its Poisson Approximation
A simple, yet flexible process to model numerous problems
Geometry
How Geometry and Combinatorics Tame the Networks in your Brain
Physical Constraints Regulate Information Dynamics
Euler
From Derangement To Euler’s Number
How e can rise from combinatorics
Chess
A Fascinating Prisoner’s Puzzle
Exploring different approaches to this seemingly impossible problem reveals some interesting connections between various branches of maths
Erdős
A Theorem of Erdős and Szekeres
A Theorem by two mathematical greats, which anybody, no maths experience required, can understand! An amazing, and beautiful, result…
Combinatorics
A Combinatorial Curiosity
A beginner’s guide to combinatorics, and using it to solve a rather tricky question.
Optimization
The Analyst’s Traveling Salesman Problem
Turning a Classic Problem Infinite and Fractal-like