We must know, we will knowRunner up in the general public category. Great minds spark controversy. This is something you'd expect to hear about a great philosopher or artist, but not about a mathematician. Get ready to bin your stereotypes as Rebecca Morris describes some controversial ideas of the great mathematician David Hilbert.
Unveiling the Mandelbrot setYou've probably seen pictures of the famed Mandelbrot set and its mysterious cousins, the Julia sets. In this article Robert L. Devaney explores the maths behind these beauties and shows that they're loaded with mathematical meaning.
Music and Euclid's algorithmWhat does a mathematician from the 3rd century BC have to do with tuning musical instruments in 17th century Europe? Benjamin Wardhaugh tells us about one of the more unusual places you might find Euclid's algorithm being used.
Graphical methods III: the slugs bounce backIn the last article of this three-part series, Phil Wilson shows how simple graphs can tell you a lot about the economy — and not only in Slugworld.
The Fields Medals 2006The highest honour in maths has been awarded to four mathematicians
Gödel and the limits of logicWhen Kurt Gödel published his incompleteness theorem in 1931, the mathematical community was stunned: using maths he had proved that there are limits to what maths can prove. This put an end to the hope that all of maths could one day be unified in one elegant theory and had very real implications for computer science. John W Dawson describes Gödel's brilliant work and troubled
life.