One of us is more pure than applied, while the other is more vice than versa. However, neither of us believes in drawing artificial boundaries between branches of mathematics, and to us the most exciting thing about the book under review is that it helps to erase such boundaries (and indeed narrow the real gaps that exist). RMC is currently visiting the Centre for Experimental and Constructive Mathematics, where JMB is Director. It should be noted that this review is not entirely at `arm's length', because (as previously mentioned) Simon Plouffe has recently joined the CECM.