This is a book which Paul Erdõs participated in the planning of before his death in 1996. It's based on Erdõs's notion that there is a book, maintained by God, which contains the most elegant proof of every theorem. The math here is the type of math Erdõs liked to work on; a number of his own proofs and theorems are among those discussed. It came out with its second edition in Dec., 2000, but I've just got my hands on it now. It's really a great book that I'm sure all active participants in Math-Fun would enjoy a lot. Even without reading the proofs, the theorems -- in number theory, graph theory, geometry, analysis, and combinatorics -- are fascinating, and (unsurprisingly) often ones I'd never heard of before. It's extremely readable, using almost exclusively lower division undergrad math as background, and with abundant sidebars explaining anything that might be less than obvious, and some things that are. IMHO, quite a few of these proofs, however, do not strike me as elegant -- even if they may well be the *most* elegant proofs of their theorems. They sometimes involve fairly intricate 3-4 page arguments where it's hard to see the light at the end of the tunnel. It's $32.xx at amazon.com -- money well-spent. --Dan