Cover -- Contents -- Foreword -- Preface -- 1 MATHEMATICS IN THE AIR -- Royal Hummer -- Back to Magic -- 2 IN CYCLES -- The Magic of de Bruijn Sequences -- Going Further -- 3 IS THIS STUFF ACTUALLY GOOD FOR ANYTHING? -- Robotic Vision -- Making Codes -- To the Core of Our Being -- This de Bruijn Stuff Is Cool but Can It Get You a Job? -- 4 UNIVERSAL CYCLES -- Order Matters -- A Mind-reading Effect -- Universal Cycles Again -- 5 FROM THE GILBREATH PRINCIPLE TO THE MANDELBROT SET -- The Gilbreath Principle -- The Mandelbrot Set -- 6 NEAT SHUFFLES -- A Mind-reading Computer -- A Look Inside Perfect Shuffles -- A Look Inside Monge and Milk Shuffles -- A Look Inside Down-and-Under Shuffles -- All the Shuffles Are Related -- 7 THE OLDEST MATHEMATICAL ENTERTAINMENT? -- The Miracle Divination -- How Many Magic Tricks Are There? -- 8 MAGIC IN THE BOOK OF CHANGES -- Introduction to the Book of Changes -- Using the I Ching for Divination -- Probability and the Book of Changes -- Some Magic (Tricks) -- Probability and the I Ching -- 9 WHAT GOES UP MUST COME DOWN -- Writing It Down -- Getting Started in Juggling -- 10 STARS OF MATHEMATICAL MAGIC (AND SOME OF THE BEST TRICKS IN THE BOOK) -- Alex Elmsley -- Bob Neale -- Henry Christ -- Stewart James -- Charles Thornton Jordan -- Bob Hummer -- Martin Gardner -- 11 GOING FURTHER -- 12 ON SECRETS -- Notes -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- J -- K -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- U -- V -- W -- Y -- Z.