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Àâòîðèçàöèÿ |
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Ïîèñê ïî óêàçàòåëÿì |
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Benjamin A., Shermer M. — Mathemagics: How to Look Like a Genius Without Really Trying |
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Ïðåäìåòíûé óêàçàòåëü |
"An Amazing Sum" mathemagics trick 171
"Call out a Number" memory magic 125—126
"Day for Any Date" mathemagics trick 172—175
"Leapfrog Addition" 164—166
"Magic 1089" 162—163
"Missing Digit Tricks" 163—164
Addition method, for multiplication 40—44 136—137 151—152
Addition, "leapfrog" 164—166
Addition, 2-digit 2—4
Addition, 3-digit 4—6
Addition, guesstimation of 83—85
Addition, left-to-right 1—2
Addition, mental 1—9
Addition, sounding problems in your head 5
Advice to parents and teachers on xix—xx
Aitken, Alexander Craig, lightning calculator 118
Bidder, George Parker, lightning calculator 87
Buxton, Jedediah, lightning calculator 140
Casting out elevens 110—113
Casting out nines 101
Close-together method for multiplication 146—150
Colburn, Zerah, lightning calculator 36 87
Columns of numbers 99—101
Complements 13
Complements, used in mental subtraction 13—15
Cube root calculation 169—170
Decimalization, mental calculation of 73—77
Devi, Shakuntala, lightning calculator 110
Distributive law, for squaring numbers 34
Divisibility, testing for 77—78
Division, 1-digit division 61—64
Division, 2-digit division 67—73
Division, decimalization of 73—77
Division, divisibility, testing for 77—78
Division, guesstimation of 86—88
Division, mental 61—80
Division, simplification of 71—72
Division, square root estimation of 91—94
Factoring method, for multiplication 47—51 134—136 144—146
Factors, numbers with friendly products 50—51
Fuller, Thomas, lightning calculator 133
Galois, Evariste, mathematical genius 94
Gardner, Martin 39 111
Gauss, Carl Friedrich, mathematical prodigy 8
Great Mental Calculators xiii
Guesstimation at the supermarket 84—85
Guesstimation, addition 83—85
Guesstimation, art of 83—96
Guesstimation, division 86—88
Guesstimation, multiplication 88—90
Guesstimation, square root 91—94
Guesstimation, subtraction 85—86
Idiot savants 124
Johnson, Samuel, and mathematical entertainment x
magic xvii
Magic Castle x xi xiii
Magic cube roots 169—170
Magic square roots 170—171
Magic squares 166—168
Magic, "Day for Any Date" trick 172—175
Magic, mathematical 161—175
Magic, memory magic 125—126
Mathemagics, described xvii 161—175
Mathematical Carnival 39
Memory and magic 125—126
Memory, phonetic code 118—123
Memory, rule of thumb 64—65
Memory, techniques for mental calculation 117—126
| Mnemonics 117
Mnemonics, application to mental calculation 123—125
Mnemonics, method for mental calculation 117
Mnemonics, phonetic code 118—123
Mod sums 100—101
Monty Hall paradox 58
Multiplication, 2-by-1 18—21
Multiplication, 3-by-1 22—25
Multiplication, advanced 129—159
Multiplication, advanced, 3-by-2 134—140
Multiplication, advanced, 3-by-2, addition method 136—137
Multiplication, advanced, 3-by-2, factoring method 134—136
Multiplication, advanced, 3-by-2, subtraction method 137—139
Multiplication, advanced, 3-by-3 multiplication 144—151
Multiplication, advanced, 3-by-3 multiplication, addition method 151
Multiplication, advanced, 3-by-3 multiplication, close-together method 146—150
Multiplication, advanced, 3-by-3 multiplication, factoring method 144—146
Multiplication, advanced, 3-by-3 multiplication, subtraction method 153
Multiplication, advanced, 3-by-3 multiplication, when-all-else fails method 153—154
Multiplication, advanced, 4-digit squares 130—133
Multiplication, advanced, 5-by-5 multiplication 155—159
Multiplication, advanced, 5-digit squares 141—144
Multiplication, basic mental 17—35
Multiplication, guesstimation of 88—90
Multiplication, intermediate 39—57
Multiplication, intermediate, 2-by-2, addition method 40—44
Multiplication, intermediate, 2-by-2, discovery of method 39
Multiplication, intermediate, 2-by-2, factoring method 47—51
Multiplication, intermediate, 2-by-2, subtraction method 44—46
Multiplication, intermediate, creativity in 51—52
Multiplication, intermediate, squaring of 3-digit numbers 53—57
Multiplication, memory of answers 23
Multiplication, pencil-and-paper method 105—109
Multiplication, rounding up technique 20—21
Multiplication, saying answers aloud during calculation 24 27
Multiplication, subtraction method for 21
Number-word list 120
Pencil-and-paper math, columns of numbers 99—101
Pencil-and-paper math, method of casting out elevens 110—113
Pencil-and-paper math, mod sums 100—101
Pencil-and-paper math, multiplication 105—109
Pencil-and-paper math, rapid 99—114
Pencil-and-paper math, square roots 102—105
Pencil-and-paper math, subtracting 102
Phonetic code 118—123
Psychic math 161—162
Randi, James ix—x
rule of thumb 64—65
Savant, idiot 124
Smith, Steven xiii
Square root, estimation of 91—94
Square root, pencil-and-paper method 102—105
Square root, simplified 170—171
Squaring, 2-digit numbers 29—33
Squaring, 3-digit numbers 53—57
Squaring, 4-digit numbers 130—133
Squaring, 5-digit numbers 141—144
Squaring, explanation of how method works 33—35
Squaring, method described 29—30
Squaring, method diagrammed 31
Subtraction method, for multiplication 44—46 137—139
Subtraction on paper 102
Subtraction, 2-digit 9
Subtraction, 3-digit 11
Subtraction, borrowing explained 10
Subtraction, guesstimation of 85—86
Subtraction, left-to-right 9
Subtraction, mental 9—15
When-all-else fails method for multiplication 153—154
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