# Past lectures

From composers to painters, writers to choreographers, the mathematician’s palette of shapes, patterns and numbers has proved a powerful...

Mathematics has proved to be of considerable benefit in modelling the population biology of infectious diseases by examining...

Randomness is clearly important in computer games and in the Premium Bond prize draw. But it is perhaps surprising that random...

The modern theory of probability is considered to have begun in 1654 with an exchange of letters between Blaise Pascal and Pierre de...

Computer systems use mathematics to fly aircraft, carry out complex financial transactions and calculate the optimal design for racing...

While ideas are undoubtedly more important than mere notations, the power of a good notation cannot be over-stated. As an example of...

If we count the number of vertices, v, on a cube, v = 8, number of edges e = 12, and number of faces f = 6, then v¬ – e + f = 2. The...

We all make mistakes when we use computer systems - forgetting to save the last document version, neglecting to add the promised email...

One of the most important patterns that a mathematician looks for is whether or not an object has symmetries i.e. is left unchanged or...

For centuries massive intellectual effort has gone into methods of ensuring secure communication, because of its importance in...

Combinatorial mathematics is concerned with selecting, arranging and counting objects of various kinds. Included under its wide umbrella...