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Imperial Library
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Index
Preface
THE WORLD OF NUMBERS
Exploring Both Ends of Our Number System
Number Giants—how Much Is a Billion?
Infinity
Much Ado About Nothing
Mathematical Midgets
More and More of Less and Less
NUMBER SYSTEMS OTHER THAN OURS
How Did the Romans Multiply and Divide?
Babe Ruth Hit 111100 Home Runs in One Season
The Magic of Numbers
The lightning calculator
These magic numbers add to 1952 in 14,400 different ways
The equality of arithmetical processes?
Some equations work only upside down
Upside-down bigrade
Some equations work in different directions
The Melancholia magic square
Upside-down magic square
IXOHOXI, an amazing magic square
Crossword magic square
OTHER NUMBER FACTS AND CURIOSITIES
Casting Out Nines
Obvious but Interesting
Interesting Identities
Magic Numbers
Multiplying Without Repeating Digits
Reversed-Digit Playground
Rare Prime Decades
Magic Multiplication Square
FIBONACCI NUMBERS
POWERS
The Sum of the Consecutive Odd Numbers Is a Square
Square Roots by the Pythagorean Theorem
Triangular Numbers
Odd Squares Also Form a Triangle
Cubes, Squares and Triangular Numbers
π, i, e AND LOGARITHMS
π
i
e and Logarithms
The Sine and Cosine Tables
THE WONDERS OF THE NOMOGRAPH
MAKING A GOOD SLIDE RULE WITH AN ORDINARY RULER
How to Use Your Slide Rule
BIRD’S-EYE VIEW OF PLANE TRIGONOMETRY
CURVES THAT CONTROL OUR LIVES
The Circle
The Ellipse
The Parabola
The Hyperbola
MATHEMATICAL HOW-TO-DO’S
Making a Date Indicator
MATHEMATICAL FALLACIES AND PROBLEMS
The Fallacies Explained
THE CIRCLE SQUARED AND THE ANGLE TRISECTED—OR ARE THEY?
INTERESTING PROBLEMS THAT REQUIRE SOME THOUGHT
Answers
Table of Logarithms
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