## Articles

**Joan Lasenby**tells us about the mathematics and engineering behind them.

**Robin Wilson**starts off a four part series on Euler with a look at his life and work.

**Runner up in the schools category**Being good at mental arithmetic isn't going to gain you much street cred these days. But, as

**Owen Daniel**explains, not so long ago it was a sure route to fame and fortune — even if you were a horse.

**Winner of the general public category**. Enormous is the right word: this theorem's proof spans over 10,000 pages in 500 journal articles and no-one today understands all its details. So what does the theorem say?

**Richard Elwes**has a short and sweet introduction.

Learn about the aerodynamics of footballs and perfect your free kick.

**Robert L. Devaney**explores the maths behind these beauties and shows that they're loaded with mathematical meaning.

What goes up must come down — or does it? Find out how to cheat gravity with

**Julian Havil**.