What's the nature of infinity? Are all infinities the same? And what happens if you've got infinitely many infinities? In this article Richard Elwes explores how these questions brought triumph to one man and ruin to another, ventures to the limits of mathematics and finds that, with infinity, you're spoilt for choice.

Richard Elwes continues his investigation into Cantor and Cohen's work. He investigates the continuum hypothesis, the question that caused Cantor so much grief.

Peter Macgregor explores the beautiful world of the infinite.

When the famous diagram fails

Liz Newton finds that having a small brain doesn't stop you doing great things.

Neil Pieprzak tells the fascinating story of Andrew Wiles who, with intense devotion and in secret, proved a deceptively simple-looking conjecture that had defeated mathematicians for almost 400 years.

José-Manuel Rey revisits a scene of the film A beautiful Mind.

Phil Trinh discovers how maths helps solve the mysteries of flight and love.

Josefina Alvarez describes the workings of the most famous search engine of them all. You'll need some linear algebra for this one, but it's worth the while!

Not so long ago, if you had a medical complaint, doctors had to open you up to see what it was. These days they have a range of sophisticated imaging techniques at their disposal, saving you the risk and pain of an operation. Chris Budd and Cathryn Mitchell look at the maths that isn't only responsible for these medical techniques, but also for much of the digital revolution.