Articles

Unreasonable effectivenessWhen it comes to describing natural phenomena, mathematics is amazingly — even unreasonably — effective. In this article Mario Livio looks at an example of strings and knots, taking us from the mysteries of physical matter to the most esoteric outpost of pure mathematics, and back again.
Constructive mathematicsIf you like mathematics because things are either true or false, then you'll be worried to hear that in some quarters this basic concept is hotly disputed. In this article Phil Wilson looks at constructivist mathematics, which holds that some things are neither true, nor false, nor anything in between.
Outer space: Another Christmas CarolWhat Dickens thought about statistics
Understanding uncertainty: What was the probability of Obama winning?

This may seem like an odd question — after all, he’s won — but it opens up some deep philosophical issues surrounding probability. David Spiegelhalter investigates how probability can be defined.
Sun
A new kind of singing starThe Sun is no longer singing solo and is now part of a stellar choir
butterfly
Born from broken symmetryThe 2008 Nobel Prize in Physics has been awarded.
foam
Swimming in mathematicsThe mathematics of foam coats Olympic swimming venue
Kissing the frog: A mathematician's guide to matingWhat's your strategy for love? Hold out for The One, or try and avoid the bad ones? How long should you wait before cutting your losses and settling down with whoever comes along next? John Billingham investigates and saves the national grid in the process.
Mathematics and democracy: Approving a presidentMuch criticism has been levelled at the US voting system, and with this being election year, we're bound to hear more of it. In this article Steven J. Brams proposes an alternative voting system that could help make things more democratic.
Digital artComputer-generated art is on the rise, and with it comes a further blurring of the boundaries between maths and art. Lewis Dartnell looks at some stunning examples.
The fabulous positional systemAccording to one mathematician, god created the whole numbers, with everything else being the work of humanity. Why, then did god not equip us with a good way of writing them down? Chris Hollings reveals that our number system, much used but rarely praised, is in fact a work of genius and took millennia to evolve.
Universal picturesPeter Markowich is a mathematician who likes to take pictures. At first his two interests seemed completely separate to him, but then he realised that behind every picture there is a mathematical story to tell. Plus went to see him to find out more, and ended up with a pictorial introduction to partial differential equations.