Realm of numbers

Front Cover......Page 1
Title......Page 3
Isbn......Page 4
Contents......Page 5
About the author......Page 6
Naming Numbers......Page 7
Finger Codes......Page 9
Pebble Codes......Page 11
Maneuvering the Pebbles......Page 12
Letter Codes......Page 15
The Importance of the Empty Rung......Page 17
Moving the Counters on Paper......Page 21
Breaking the Zero Barrier......Page 23
Handling the Negatives......Page 26
Plus and Plus and Plus and Plus......Page 29
Each by Each......Page 31
Multiplication in Reverse......Page 34
The Pattern of Signs......Page 36
To Divide or not to Divide......Page 38
The Greeks Amuse Themselves......Page 40
Counting and Measuring......Page 42
Dividing the Units......Page 43
Parts of One......Page 47
The Denominator Joins the Game......Page 51
Fractions Below Zero......Page 53
Avoiding Division......Page 54
Forcing Fractions into Line......Page 58
American Sense and Nonsense......Page 61
Locating the Decimal Point......Page 65
Moving the Decimal Point......Page 67
Decimals without End......Page 69
More Greek Amusements......Page 71
Exclamation Point!......Page 74
Squares, Cubes and Beyond......Page 75
Avoiding Multiplication......Page 77
To Zero and Beyond -- Again......Page 78
Descending from a Power......Page 82
Comparing Lines......Page 85
The Nonexistence of Fractions......Page 89
The Existence of Fractions......Page 92
A New Convenience of Ten......Page 95
Other than Ten......Page 97
Counting in Ones and Zeros......Page 100
Juggling Exponents......Page 104
Juggling Exponentials Further......Page 106
Exponents Take over Completely......Page 108
The New Abacus......Page 113
Enter i......Page 116
Numbers and Compass Points......Page 118
More Compass Points......Page 121
Digging more Deeply for Roots......Page 125
The "Not-a-Number"......Page 128
Counting without Counting......Page 130
The Infinite in a Nutshell......Page 132
Closer and Closer and Closer.........Page 134
More than Endless......Page 137
Endless Endlessnesses......Page 139
Index......Page 143
Back Cover......Page 146