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Introduction xi
Nouns The Things Called Numbers 1 Counting 3 Measurement 9 Negative Numbers 13 Fractions 20 Decimals 27 Rounding 32 Large Magnitudes 36 Scientific Notation 45 Irrational Numbers 51 Infinity 59 Verbs The Actions of Arithmetic 67 Increments 69 Addition 73 Subtraction 80 Multiplication 87 Division 95 Squaring and Cubing 101 Roots 105 Exponents 108 Logarithms 113 Grouping 117 Calculation 123 Grammar The Syntax of Algebra 128 Symbols 131 Variables 137 Expressions 141 Equations 148 Inequalities 154 Graphs 160 Formulas 167 Simplifying 172 Solutions 177 Category Errors 184 Style 187 Rules 191 Phrase Book A Local's Guide to Mathematical Vocabulary 199 Growth and Change 201 Errors and Estimates 204 Optimization 207 Solutions and Methods 211 Shapes and Curves 214 Infinity 217 Collections 221 Logic and Proof 225 Truths and Contradictions 229 The Probable and the Possible 234 Causes and Correlations 237 Data 240 Games and Risk 244 Properties 248 Famous Names and Folklore 251 Quibbles, Citations, and Fine Print 257 Where to Learn More 268 Bumbling Words of Gratitude 274 Index 276 |
Ben Orlin
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