Ian Stewart is arguably the UK's best raconteur of mathematics - here he takes on some of the extremes of the mathematical world, and in doing so gives us some real insights into what makes mathematicians tick. There's a good mix here of the flashy fun aspects of maths - think, for instance of the wonders of infinity or the monster group - and the solid everyday that nonetheless can turn up surprises. The book is littered with little insights. For example, if we think it's easy to work out the area of a rectangle by dividing it up into unit squares, what do you do with one that measures square root of two by pi? You'll find yourself jumping around from what lies beneath calculus to game theory (rock, paper, scissors anyone? - I hadn't realised a version of this game dates back around 2,000 years). One minute you'll be considering colouring maps and the next finding the shortest distance between two points on a curved surface. Some of the mathematics here has eve...
Without doubt one of the most original science fiction books I've ever read. With a mix of narrative and reports (featuring occasional redaction-like antimimetic decays) we are introduced to the work of the Organisation, which takes on weird happenings in the world, from conventional monsters and ghosts to those central to this story. A large contingent of Organisation staff deal with mimetics - ways that concepts can spread in a non-natural fashion and have to be controlled. But a smaller group deals with antimimetics - concepts and even living things that are able to remove themselves from human memory. One of our first introductions to antimimetics is when a senior civil servant summons a supposed spy to his office, only to discover that she is in fact the head of the Antimimetics Division: an antimimetic has stopped the civil servant from taking the medication that enables him to remember the Division's existence, so he is totally unaware of it. This kind of convoluted comp...