Gardner M. Mathematics, Magic and Mystery

N.Y.: Dover Publications, 1956. – 176 p.This is the first book-length study of this fascinating branch of recreational mathematics. Written by one of the foremost experts on mathematical magic, it summarizes, with considerable historical data and bibliography, all previous work in this field; it is also a creative examination of laws and their exemplification, with scores of new tricks, new insights, new demonstrations. In this volume, for the first time dozens of topological tricks are explained, dozens of manipulation tricks are aligned with mathematical law.Tricks With Cards I
The Curiosities of Peirce
The Five Poker Hands
Tricks Using Cards As Counting Units
The Piano Trick
The Estimated Cut
Tricks Using The Numerical Values
Findley's Four-card Trick
A Baffling Prediction
Henry Christ's Improvement
The Cyclic Number
The Missing Card
Jordan’s Method
Tricks Based On Division Of Colors And Suits
Stewart James' Color Prediction
The Royal Pairs
Tricks Using Front And Back
Matching the Colors
Hummer's Reversal Mystery
The Little Moonies
Tricks With Cards II
O'Connor's Four-ace Trick
The Magic of Manhattan
Predicting the Shift
The Keystone Card Discovery
Two-pile Location
Spelling the Spades
Elmsley's Card Coincidence
Magic by Mail
Belchou’s Aces
The Tit-Tat-Toe Trick
Other Tricks of Interest
From Gergonne To Gargantua
Naming the Position of the Card
Bringing the Card to a Named Position
Walker's Method
Naming the Card
Relation to Ternary System
Gargantua's Ten-pile Problem
Magic With Common Objects
Dice
Guessing the Total
Frank Dodd's Prediction
Positional Notation Tricks
Hummer's Die Mystery
Dominoes
The Break in the Chain
The Row of Thirteen
Calendars
Magic Squares
Gibson's Circled Dates
Stover's Prediction
Calendar Memorizing
Watches
Tapping the Hours
Die and Watch Mystery
Dollar Bills
Heath's Bill Trick
Matches
The Three Heaps
Match Folder Mind-Reading
The Tramps and Chickens
The Purloined Objects
Coins
The Nine Mystery
Which Hand?
Heath's Variation
Heads or Tails?
Checkerboards
Hummer's Checker Trick
Miscellaneous Objects
Hummer's Three-Object Divination
Yates' Four-Object Divination
Topological Tomfoolery
The Afghan Bands
Handkerchief Tricks
Finger Escape
Tabor's Interlocked Handkerchiefs
Knotty Problems
String And Rope
Garter Tricks
The Giant's Garter
More String Tricks
Clothing
The Puzzling Loop
Reversing the Vest
Removing the Vest
Rubber Bands
The jumping Band
The Twisted Band
Tricks With Special Equipment
Number Cards
Window Cards
Sam Loyd's Version
Tap Tricks
Crazy Time
Heath's "Tappit"
Tap-a-Drink
Tap-an-Animal
The Riddle Card
Dice And Domino Tricks
Heath's "Di-Ciphering"
Sure-Shot Dice Box
Blyth's Domino Box
Blocks of India
Hummer Tricks
Geometrical Vanishes I
The Line Paradox
Sam Loyd's Flag Puzzle
The Vanishing Face
Get Off the Earth
DeLand's Paradox
The Vanishing Rabbit
Stover's Variations
Geometrical Vanishes II
The Checkerboard Paradox
Hooper's Paradox
Square Variation
Fibonacci Series
Langman's Version
Curry's Paradox
Curry Triangles
Four-piece Squares
Three-piece Squares
Two-piece Squares
Curved and 3-D Forms
Magic With Pure Numbers
Rapid Cube Root Extraction
Adding a Fibonacci Series
Predicting a Number
Curry's Version
Al Baker's Version
Divining a Number
The Mysteries of Nine
Digital Roots
Persistent Root
Guessing Someone's Age
An Addition Trick
A Multiplication Trick
The Mysteries of Seven
Predicting a Sum
Al Baker's "Numero"
Psychological Forces
Name Index