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Magical Mathematics:
The Mathematical Ideas That Animate Great Magic Tricks
Persi Diaconis & Ron Graham
With a foreword by Martin Gardner

Book Description | Reviews
Chapter 1 [in PDF format] | Chapter 5 [PDF only]


Foreword ix
Preface xi

Chapter 1: Mathematics in the Air 1
Royal Hummer 8
Back to Magic 15

Chapter 2: In Cycles 17
The Magic of de Bruijn Sequences 18
Going Further 25

Chapter 3: Is This Stuff Actually Good For Anything? 30
Robotic Vision 30
Making Codes 34
To the Core of Our Being 38
This de Bruijn Stuff Is Cool but Can It Get You a Job? 42

Chapter 4: Universal Cycles 47
Order Matters 47
A Mind-reading Effect 52
Universal Cycles Again 55

Chapter 5: From the Gilbreath Principle to the Mandelbrot Set 61
The Gilbreath Principle 61
The Mandelbrot Set 72

Chapter 6: Neat Shuffles 84
A Mind-reading Computer 85
A Look Inside Perfect Shuffles 92
A Look Inside Monge and Milk Shuffles 96
A Look Inside Down-and-Under Shuffles 98
All the Shuffles Are Related 99

Chapter 7: The Oldest Mathematical Entertainment? 103
The Miracle Divination 105
How Many Magic Tricks Are There? 114

Chapter 8: Magic in the Book of Changes 119
Introduction to the Book of Changes 121
Using the I Ching for Divination 122
Probability and the Book of Changes 125
Some Magic (Tricks) 127
Probability and the I Ching 136

Chapter 9: What Goes Up Must Come Down 137
Writing It Down 138
Getting Started in Juggling 145 10 Stars of Mathematical Magic (and some of the best tricks in the book) 153
Alex Elmsley 156
Bob Neale 160
Henry Christ 173
Stewart James 181
Charles Thornton Jordan 189
Bob Hummer 201
Martin Gardner 211

Chapter 11: Going further 220
Chapter 12: on secrets 225
Notes 231
Index 239

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File created: 4/21/2017

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