Games and Mathematics (48 page)

Hadamard, Jacques
140
,
226

Halley, Edmund
149

Halmos, Paul
214

Hamilton, William Rowan
6

Hamming, Richard
35

harmonic series
111

Hardy, G. H.
63–64
,
133
,
135
,
141
,
208–209
,
226

Hardy–Weinberg law
208

Heavyside, Oliver
151–152

Hein, Piet
26

Henle, Jim
211

Heron of Alexandria
163

Heron's theorem
166
,
167
,
168

Hex
26–29
,
52
,
142

Hex Strategy
29

Hilbert, David
31
,
51–52
,
57
,
215
,
228

History of Board Games
222

Hofstadter, Douglas
143–144

Hofstadter's sequence
144

Huxley, T. H.
122

Icosian Game, The
6

intuition for the abstract
58
,
171

Inversion, geometrical
202–204

Japanese mathematics
35
,
141
,
161

Jacob's ladder
2

Jeffreys, Harold & Bertha S.
153

Josephus puzzle
5

Joxe, Louis
221

Julia set
211

Kac, Mark
228

Kanada, Yasumasa
66

Kasparov, Gary
37
,
84

Kastelyn, P. W.
71

Kepler, Johannes
60
,
149
,
167
,
184

Kiepert, Ludwig
127

Klein, Felix
55
,
226
,
228

Kline, Morris
113

knight tours
12–16
,
61

knots
2
,
217
,
231–233

Koltanowski
16
,
40

Kowa, Seki
161

Lasca
31

Lakatos, Imre
117

Lasker, Emanuel
31

LEGO
7

Lehman R. S.
136

Leibnitz, G. W.
11
,
54
,
109–110
,
112
,
152
,
161
,
207
,
217
,
226

Lemoine, Emile
126

Leonardo da Vinci
189
,
217

Levy, S.
143

Liber Abaci
3

Lionnais, François Le
211

Liouville, Joseph
75
,
80–81

Listing, Johann
233

Littlewood, J. E.
135
,
141
,
147
,
213

Liu Hui
173
,
180

Longchamps, G. de
127

Loomis, Elijah S.
188

Lucas, Éduard
17–21

lucky numbers
197

lucky Goldbach conjecture
198

ludus calculorum
77

Maclane, Saunders
120
,
141
,
152
,
226

Madhava
109
,
110

Mallows, C. L.
55

Mandelbrot, Benoit
211
,
227
,
229

Manin, Yuri
185

Mao, Yong
21

Mathematical Go
38
,
62

Mathematician's Apology, A
63

Matsuzaki, Kiyoshi
77

Maupertuis, Pierre de
167

Mehen, game of
1

Menelaus
89

Merchant's Problems
6

Mersenne number
20

Methods of Mathematical Physics
153

minimal surface
195

Morin, Bernard
41

Murray, Harold
222

Nagel, Christian
127
,
128

Napoleon's theorem
128
,
173–175

Nash, John
26–28

Neuberg, Joseph
127

Neumann, John von
58–59
,
162
,
212
,
213
,
220

Newell Alan
37

Newton, Issac
54–55
,
60
,
109
,
143
,
149
,
160
,
167
,
168
,
207
,
226

Nichomachus
177
,
180

Nine Men's Morris
25–26
,
52
,
62
,
142

nine-point circle
126

Noether, Emmy
31
,
141

normal numbers
66

ocean plait
232

odd perfect numbers
98

Oldenburg, Henry
207

On divergent series
112

On the quadrature of the parabola
108

optics
162

Oranges and Lemons
220

Oresme, Nicholas
110
,
111–114

Papert, Seymour
230

Pappus
169

parabola
93
,
190
,
206

partitions
180–182
,
213

Pascal, Blaise
152
,
157
,
160

Pascal's triangle
19
,
68
,
137

pentagonal numbers
178

pentagonal number theorem
81–83

pentominoes
23
,
61
,
71

Piaggio, H. T. H.
151

Plato
148
,
150
,
219

play (plegian)
220

plinthios
2

Poe, Edgar Allan
226

Poincaré, Henri
55
,
73
,
184
,
208
,
213

Polster, Burkhard
22

Polya, George
75
,
136

polygonal numbers
176–180

Poncelet, Jean Victor
205–206

Pontryagin, Lev
41

Porphyry
44

prime numbers
20
,
133–135

Primrose, E. J. F.
76

problema
86
,
88
,
225

Proofs and Refutations
117

Propositions to Sharpen the Young
3

Protracted Game, The
45

Pythagoras
150

Pythagoras’ theorem
79
,
127
,
128
,
184
,
189
,
210

Psychology of Invention…, The
226

Pythagorean Proposition, The
188