Combinatorial Game Theory is a powerful tool for analysing mathematical games. Lewis Dartnell explains how the technique can be used to analyse games such as Twentyone and Nim, and even some chess endgames.
Not only are paper models of geometric shapes beautiful and intriguing, but they also allow us to visualise and understand some important geometric constructions. Konrad Polthier tells us about the gentle art of paper folding.
Calculus is a collection of tools, such as differentiation and integration, for solving problems in mathematics which involve "rates of change" and "areas". In the first of two articles aimed specially at students meeting calculus for the first time, Chris Sangwin tells us about these tools - without doubt, the some of the most important in all of mathematics.
Marcus du Sautoy begins a two part exploration of the greatest unsolved problem of mathematics: The Riemann Hypothesis. In the first part, we find out how the German mathematician Gauss, aged only 15, discovered the dice that Nature used to chose the primes.
Despite what the innumerate masses may wish, our daily lives are inextricably tied up with mathematics. On the most mundane level, we use basic arithmetic to do such things as tell the time, to count our change, to programme the video. But on a less obvious level we also need a reasonably good grasp of geometry in order to park the car in the garage or to pack the shopping bags carefully at the supermarket; we collect and interpret statistical data when the football results come in and we all seem to know how easily order turns to chaos.
It is not uncommon for physics students to know more about the history of physics than mathematics students do about the history of mathematics. Physical laws often come with a name attached; mathematics constitutes a more homogenous structure, and thus tracing parentage can be harder.
Of all the classical functions, the Gamma function still retains much of its mystery and intrigue, since Euler first spotted it as something "worthy of serious consideration". In Gamma, Julian Havil explores Gamma from its birth and in so doing simultaneously deals with many related functions, problems and issues that go beyond the conventional territory of functions alone.
In this well-written book, James Gleick (author of Chaos) tackles the life and work of Isaac Newton. He focuses on the man and his life in the historical context of Britain in the 17th Century, and, although the book is not a light read, he explains Newton's science well without the use of any equations.
Newton was born in 1642 in the time of the civil war (King Charles was beheaded when Newton was six years old).