# Past lectures

What is meant by the square root of minus 1? why is it 'imaginary'? what are complex numbers, and why are they useful? how can we...

The 'circle number' pi has fascinated people for thousands of years. Who first called it pi? who had it engraved on their tombstone? Who...

What is the Mandelbrot set? how can prime numbers protect your bank balance? and why is mathematics incomplete? More new mathematics...

What is a number? can you solve a quintic equation? is Euclid true? and is the calculus correct? The 19th century witnessed major...

What shape is the Earth? how do strings vibrate? can you construct a 65,537-sided polygon? and can you cross the seven bridges of...

It is often said that mathematics and music go together, but what does this mean? This illustrated lecture features a small choir and...

Mathematical techinques lie at the heart of modern forensic methods for investigating crime and bringing the criminal to justice. Across...

Block designs are used in agriculture in connection with the planting of wheat. But earlier they arose in the so-called 'schoolgirls...

Tree diagrams arise in many contexts, from family trees to chemical molecules, electrical networks, the design of canals and the bracing...

We are all familiar with patterned wallpaper, but how many regular patterns are there? Can you tile your bathroom floor with square,...

The development of the calculus brought together two seemingly unrelated problems: how do things change, and how large are they? We...

With the invention of printing, mathematical writings became widely available for the first time. What influence did this have? We...