Recreational maths

Continuous uniform distribution

Here is a spinning wheel, that has a circumference exactly 1 metre. We will perform an experiment where…

The pi function — calculating factorials using integration

Area under a polar function — integration in polar coordinates

Zermelo-Fraenkel set theory

In this article, we will look at Zermelo-Fraenkel set theory, why it is necessary, and what it is. And as an…

Surprise exam paradox

The surprise exam paradox is a paradox that relates to our knowledge of future events. It is also known as the…

Fourier’s ingenious proof that e is irrational

Euler’s number, e, is an important number in mathematics that appears in many…

Introduction to Statistics

Modern life is awash with data, especially since the internet has become a part of our everyday lives.

Using matrices to solve simultaneous equations automatically

Finding arc length by integration

We often use the technique of integration to find the area under a curve. It is also possible to use…