
Magical Mathematics
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Content
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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Copy protection: Watermark-DRM (Digital Rights Management)
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The file format ePUB works well for novels and non-fiction books – i.e., „flowing” text without complex layout. On an e-reader or smartphone, line and page breaks automatically adjust to fit the small displays.
This eBook uses Watermark-DRM, a „soft” copy protection. This means that there are no technical restrictions to prevent illegal distribution. However, there is a personalised watermark embedded in the eBook that can be used to identify the purchaser of the eBook in the event of misuse and to provide evidence for legal purposes.
For more information, see our eBook Help page.