A retitled & revised edition of Ian Stewart's The Problem of Mathematics this is the perfect guide to today's mathematics Read about the latest discoveries including Andrew Wile's amazing proof of Fermat's Last Theorem the newest advances in knot theory the Four Colour Theorem Chaos Theory & fake four-dimensial spaces See how simple concepts from probability theory shed light on the National Lottery & tell you how to maximize your winnings Discover how infinitesimals become respectable why there are different kinds of infinity & how to square the circle with the mathematical equivalent of a pair of scissors