# Past lectures

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...

In 1972 the meteorologist, Edward Lorenz, delivered a lecture with the title Predictability: Does the Flap of a Butterfly’s Wings in...

Mathematics is important to us all. So it is important to enable young mathematicians, clear-thinking and passionate about their...

The idea of a proof as a simple, easily-checked method of establishing truth has undergone modification in the age of computers. ...

An area of which 19th century British mathematics could be uniformly proud was applied mathematics where new techniques were used on a...

When lives depend on calculations, human error can kill. From the early days of computing, one problem has been that they...