Information, argues the author, is the master concept of the computer age which throws a new light on the age old concepts of space and number, logic and infinity. These five themes parallel the five stages of human history, the five ways in which our brains work and the five different aspects of the world. This mathematical book guides the reader through the latest theories and theorems, attempting to provide the ideal introduction to Hilbert space and Turing machines, fractals and gigaplexes.