Series
Solving the Basel problem, using an elementary introduction to Fourier series! Part 0: Motivation, some History, and Welcome! Hello and welcome! We are going to be tackling a beautiful problem, the ‘Basel Problem’. It was posed in 1650 by Pietro Mengoli, and it took 84 years to solve it, when
Analysis
Here we crack a tricky yet simple problem at the intersection of computer science and mathematics. It also gives a lovely insight into how…
Complex Analysis
Here we investigate and understand the brilliant formula which unlocks the power of complex numbers.
Logic
Here’s a fun 2-minute guide to the infamous Axiom of Choice, one of the stranger mathematical curiosities.
Analysis
An intro to mathematical analysis, using ideas familiar to coders
Prime Numbers
Let’s take a look at an unusual proof that there are infinitely many prime numbers.
Arithmetic
Over 2,300 years ago Euclid proved the Fundamental Theorem of Arithmetic. Now it is our turn.
Differential Geometry
A visual introduction to Spherical geometry, a geometry where triangles’ angles don’t sum to 180.
Dynamic Programming
When computer science and dynamic programming meets math
Erdős
A Theorem by two mathematical greats, which anybody, no maths experience required, can understand! An amazing, and beautiful, result…
Combinatorics
A beginner’s guide to combinatorics, and using it to solve a rather tricky question.
Calculus
The beginner’s guide to proving the Fundamental Theorem of Calculus, with both a visual approach for those less keen on algebra, and an…