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Tables of Contents for Numbers
Chapter/Section Title
Page #
Page Count
Preface
vii
Encountring Numbers
1
5
Counting with Numbers
6
33
Rudimentary Beginnings
6
2
One-to-one Correspondence and Order
8
2
The Beginning of Numbers
10
2
Patterns and Groups
12
2
Finger-counting
14
5
Counting by Twos
19
4
Counting by Fives
23
5
Counting by Twenties
28
3
The History of Counting
31
3
The Age of our Decimal Counting
34
2
Counting with Knots
36
3
Writing down Numbers
39
42
Tallies
40
6
The Dawn of Numerals
46
4
The Development of Numeral Systems
50
7
The Evolution of Place-value
57
4
Alphabetical Numerals
61
6
The Hindu-Arabic Numerals
67
6
Fractions
73
4
The Derivation of Number-Symbols
77
4
Calculating with Numbers
81
69
Addition
83
5
Subtraction
88
2
Multiplication
90
19
Division
109
7
Checks on Calculation
116
6
Ratio and Proportion
122
5
Prime Numbers and Factors
127
4
The Calculation of Roots
131
8
Logarithms
139
6
Arithmetic Symbols
145
5
Computing with Numbers
150
22
Early Counting Boards
150
3
Counting Boards in the Middle Ages
153
4
Reckoning on the Lines
157
2
The Modern Abacus
159
2
The Slide Rule
161
3
Calculating Machines
164
2
Binary Arithmetic
166
2
Computers
168
4
Unknown Numbers
172
53
The Linear Unknown
173
6
The Square of the Unknown
179
15
Higher Powers of the Unknown
194
9
More than One Unknown
203
9
Indeterminate Unknowns
212
10
Symbols for the Unknown
222
3
Recreational Numbers
225
26
Think of a Number
228
2
Magic Squares
230
7
Number Shapes
237
8
Numbers with Special Properties
245
6
Thinking about Numbers
251
27
Rational and Irrational Numbers
252
8
The Real Numbers
260
6
The Status of Zero
266
2
Complex Numbers
268
2
Defining the Natural Numbers
270
2
Numbers and Religious Belief
272
6
Teaching and Learning Numbers
278
13
Words and Symbols
280
2
Elementary Calculation
282
4
Algebra
286
2
Numbers and Life
288
3
Bibliographical Note
291
2
Index
293