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.

Not so long ago, if you had a medical complaint, doctors had to open you up to see what it was. These days sophisticated imaging techniques save you the risk and pain of an operation. Chris Budd and Cathryn Mitchell look at the maths that is responsible for these medical techniques, and also for much of the digital revolution.

• I need maths like a carburettor recalibration
• The 118 188 challenge