Professor Stewart’s Cabinet of Mathematical Curiosities
By Ian Stewart; Basic Books, 2008; 256 pp.; US $16.95; ISBN: 978-0-465-01302-9
There’s a lot to be said for a book that transports you back to your childhood. When I was 11, I was given a subscription to Scientific American. Every month, I would turn directly to Martin Gardner’s Mathematical Games column, which Professor Stewart’s Cabinet of Mathematical Curiosities immediately brings to mind.
Open one of the 179 ”drawers” in Professor Stewart’s cabinet, and you might find just a one-liner (”Why did the chicken cross the Möbius band?”) or a seven-page essay on Fermat’s last theorem. Many items, like how to find a fake coin in three weighings and Cantor’s diagonal argument, are likely to be familiar friends, but plenty of others will be new. And Stewart has put a sheen on some of the oldies—Langton’s ant, for example, in which the eponymous insect travels around a checkerboard according to simple rules. I hadn’t imagined some of the strategies that might somehow trap it.
I’m not keen on the book’s shaggy-dog stories nor on its biographies of famous people (do Americans know who Virginia Wade and Carol Vorderman are?). But those parts of the book are more than offset by a variety of knots, magic hexagons, square wheels, and topology tricks in which you pretend to slice off your finger. Answers (but not, unfortunately, a proof of the Goldbach conjecture) are to be found at the back of the book, and many have URLs for further information.
The book can be devoured in one giant gulp or savored, one curiosity at a time. As for the mathematics, the puzzles require at most a bit of algebra. Many should be within the grasp of an intelligent 11-year-old.
About the Author
Clive Feather says that if he had to pick a favorite trick from the book, the one he probably had the most fun with was "learning how to not slice off my fingers with a piece of string." Feather is an Internet regulatory expert and an amateur historian of the London Underground.