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| Kasner E., Newman J. — Mathematics and the Imagination |
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| Ïðåäìåòíûé óêàçàòåëü |
Galois, Evariste 71
Gans, David 364
Gases, kinetic theory of 257—260
Gauss, Karl Friedrich 68 77 92 101 108 134 135 258
Geodesic 146 147 181
Geometric fallacies 211—213
Geometric mean 99—100
Geometric progression 82
Geometry of Four Dimensions 154
Geometry, analytical 95—99 103 120—123 305 306 314
Geometry, Euclidean 116 134 137 138 139 140 143 149 150
Geometry, four-dimensional 93 113 115 116 118 119 124 300 359
Geometry, Lobachevskian 136—139 140 142—143 146 150
Geometry, non-Euclidean 113 132 134—150 155 300 359 360
Geometry, nonquantitative 272—297
Geometry, Riemannian 139—140 142 143 144 145 146 149 150
Geometry, rubber-sheet 265—298
Gestapo 216
Gold Bug, The 233
Goldbach, C. 187
Goldbach’s theorem 187
Googol 20—25 27 32 33 47 81 221
Googolplex 23—25 31 32 44 81
Granville, William Anthony 365
Graph (topological) 266
Graphic representation of points 96—99 314
Grassmann, Hermann 118
Gravitational constant 327—328 342—343
Great circle 143 146 147 181
Greeks 8 16 34 40 66 71 90 95 108 213
Grimaldi, Francis Maria 166
groups 4 5 8
Growth, phenomenon of 88 342
Guessing numbers 163 164
Hahn, Hans 298 366
Haldane, John Burdon Sanderson 262—263
Hall, Henry Sinclair 190
Hamilton, William Rowan, Sir 156
Hardy, Godfrey Harold 32 365
Hausdorff, Felix 204—205 207
Hausdorff’s theorem 204—205 207 219
Henry IV of France 75
Henry VIII of England 236
Heraclitus 27
Hermite, Charles 111
hessian 298
Higher algebra 190
Higher derivatives 326—329
Hilbert, David 222
Hindus 17 90 268
Historic Development of Logic 365
History of Elementary Mathematics, A 364
History of European Thought in the 19th Century 367
History of Japanese Mathematics, A 191
History of mathematics 364 367
History of Philosophy, Science and Technology in the Sixteenth and Seventeenth Centuries 356
History of Science and its Relations with Philosophy and Religion, A 259
Hitler, Adolf 228
Hogben, Lancelot Thomas 365—366
homer 362
Hottentots 19
Houdini, Harry 127
How to Draw a Straight Line 290
Hyperbola 17
Hypercube see Tesseract
Hyperplane 124
Hyperradical 16
Hypervolume 126
i 65 66 89 91 93—95 99 100 101—103 110 210
Illusions, optical 211 220—221
imaginary numbers 65 66 90—95 99 100 103 117 210
Impossibility, mathematical 67—68
Indefinite integral 340—342
Independent events 244—247
Independent variable 314 315 316 321 326
Induction, mathematical 35—36 232
Infinite classes 31 43—44 45—46 48—50 53 55—58 61 62 63 132
Infinite numbers 19 20 22 23 33—36
Infinite series 38 64 65 66 69—70 75 76 77 78 79 80 87 109 346—347
Infinitesimal 40 43 332
infinity 19 35 36 40 41 43 56 61 63 132 222 332
Integers 34—35 43—45 46—49 50 51 52 54 63 92 108 110
Integral calculus 75 299 310 329—342
Integrals, definite 339—341
Integrals, indefinite 340—342
Integration 5 339—340 341 342
Interlocking rings 285 286 287
Introduction to Logic and Scientific Method, An 150—154 264 364
Introduction to Mathematical Philosophy 367
Introduction to Mathematics 364
Introduction to Mathematics, An 368
Intuitionists 62 221—222
Invariants 273—274 297 298 300
Invitation to Mathematics, An 190 365
Involution 54
Irrational numbers 49
Italians 17
Jacobian 298
Japanese 175—176
Jeans, James, Sir 258 366
Jeu du Taquin see “15 Puzzle”
Johnson, Samuel 28
Johnson, William Woolsey 191
Jordan, Camille 7 276—279
Jordan’s Theorem 7 276 278 279
Josephus 173 174
Josephus problem 173—176
Kant, Immanuel 6 118
Kasner, Edward 23
Kempe, Alfred Bray, Sir 290
Kepler, Johann 156 252 331—332
Keynes, John Maynard 238 263 366
Keyser, Cassius Jackson 13 366
Kinetic theory of gases 257—260
Kirchhoff, Gustav Robert 276
Klein, Felix 299 366
Kline, Morris 364
Knight, Samuel Ratcliffe 190
Kries, Johann von 263
Krise und Neuaufbau in den exakten Wissenschaften 154 367
Kronecker, Leopold 35
La Fontaine, Jean de 7 217
Lagrange, Joseph Louis, Count 156 253
Laguerre, Jean Henri Georges 11 12 13
Laplace, Pierre Simon, marquis de 221 252—253 264
Lazzerini 247
Lebensraum 293
Lee, Samuel 261
Legouve, Ernest 183—184
Leibniz, Gottfried Wilhelm, Baron von 39 40 75—77 91 156 165 166 240 304 309
Length of a curved line 331 333—335 356
Les problemes plaisants et delectables 157
Levy, Hyman 366
Lieber, Hugh Gray 366
Lieber, Lillian R. 366
Lietzmann, Walther 189 219
LIMIT 64 69 70 235 310 332
Limit of a function 312—316 321—327 332 341
Limit of a variable quantity 310—312
Lincoln, Abraham 236
Lindemann, Ferdinand 71 72 79 111
Lindsay, Robert Bruce 154
Listing, Johann Benedict 272
Lloyd, Sam 177 178
Lobachevskian geometry 136—139 140 142—143 146 150
Lobachevsky, Nikolai Ivanovich 118 135—143 146—147 150 181 271
Locke, John 225 252
Logarithms 50 80 81—84 110 210—211
Logic 300 360—361
Logic of Modern Physics, The 364
| Logical paradoxes 194 213—219
Logical positivism 359—361
Logistic school 62 63 222
Longley, William Raymond 365
Lucas, Edouard 189
Ludolphian number (see  ) 75
Lustiges und Merkwiirdiges von Zahlen und For men 189 219
Macfarlane, Alexander 184
Machin, John 75—76 78 118
Magic squares 185—186
Manifold 119—124 133 149 154
Manifold, Euclidean 123—124
Manifold, four-dimensional 123—124 154
Manifold, nonsimply-connected 281
Manifold, simply-connected 282
Manifold, three-dimensional 120—124 154 282—284
Manifold, two-dimensional 278 279 282
Manning, Henry Parker 366
Map-coloring problem 186 287—291
Margenau, Henry 154
Mark, Hermann 366
Matching 28
Materialism 254—256
Mathematical Excursions 189
Mathematical fallacies 207—213
Mathematical impossibility 67—68
Mathematical induction 35—36 232
Mathematical Philosophy 366
Mathematical possibility 242
Mathematical recreations 156—192
Mathematical Recreations and Essays 189 363
Mathematical Snapshots 367
Mathematics for the Million 365
Mathematische Unterhaltungen und Spiele 189 363
Mathescope 25—26
Maxima and minima 306—309 325—326
Maxwell, James Clerk 258
Measuring 28 66 133 134 202—203
Mecanique Celeste 221 253
Men of Mathematics 363
Mendel, Gregor Johann 40
Menger, Karl 219 366
Mere, Antoine Gombault, Chevalier de 239—240
Merrill, Helen Abbot 189
Mersenne, Marin 187
Merz, John Theodore 367
Metamathematics 222
Metaphysics 359—361
Methods of approximation 318 333—334 336—338
Mikami, Yoshio 191
Miracles 24 261—262
Mirifici Logarithmorum Canonis Descriptio 80 110
Mobius strip 118 186 284—286
Mobius, August Ferdinand 118 186
Modern Science 366
Mohammedans 261 268
Moment of inertia 340
Monkey and rope puzzle 192
Monogenic functions 14
More, Henry 118
Motion 37 58—60 194—195 274 300 301—304 321 342—343
Mutually exclusive events 243—244
Mysterious Universe, The 366
Mysticism and Logic 37 367
Nagel, Ernest 150—154 224 264
Napier, John 80—84 110
Napoleon 253
Nature 262
Nature of Mathematics, The 363
Needle problem 110 246—247
Negative curvature 147—148
negative numbers 65 90—91 92 111 117 210
New Pathways of Science 365
Newcomb, Simon 78
Newton, Isaac, Sir 75 80 252 261 304 309 323
NIM 172 191
Nines, casting out 164—165
Nobeling, Georg 154 366
Non-Euclidean geometry 113 132 134—150 155 300 359 360
Nondenumerable classes 49 50 53
Nonquantitative geometry 272—297
Nonsimple curves 7 281
Nonterminating decimals 51—53 64 167
Notation, binary 165—173
Notation, decimal 164 165 166 167
Notation, duodecimal 190
Notation, dyadic 165—173
Notation, positional 80 110
Notation, sexagesimal 190
Number, the Language of Science 111 264 364—365
Numbers, cardinal 64
Numbers, complex 95 101—102 103 210
numbers, imaginary 65 66 90—95 99 100 103 117 210
Numbers, infinite 19 20 22 23 33—36
Numbers, irrational 49
numbers, negative 65 90—91 92 111 117 210
Numbers, ordinal 64
Numbers, prime 64 108 187—188 192
Numbers, rational 49 50
Numbers, real 49 50 51 53 54 55
Numbers, transcendental 6 49 50 53 64 78 79 84 111 117
Numbers, transfinite 45 47 49 53 54 55 63 194 359
Omar Khayyim 90 111
On the Hypotheses Which Underlie the Foundations of Geometry 139
One-sided surface 118 186 284—286
One-to-one correspondence 29 31 34 44 45 48 49 50 56 57 58 59 60 206
One-valued functions 64
Optical illusions 211 220—221
Ordinal numbers 64
Osgood, William Fogg 298
parabola 17 106—107 308 330 331 356
Parabolic segment 356
Paradoxes 193—222
Paradoxes of infinite classes 43 44
Paradoxes, Achilles and the tortoise 37 38 57—58 62
Paradoxes, arrow in flight 37 38—39 58—60 62 301 321
Paradoxes, Cantor’s 43 44
Paradoxes, Dichotomy 37—38
Paradoxes, Epimenides 62—63 221
Paradoxes, logical 194 213—219
Paradoxes, railway train 200
Paradoxes, rolling circles 195—196
Paradoxes, rolling coin 194—195
Paradoxes, Russell’s 216—217
Parallel lines 65 134—140 143 154—155
Parhexagon 14—16
Pascal, Blaise 112 156 239—240
Patho-circle 13
Pathological curves 343—355
Peirce, Benjamin 103
Peirce, Charles Sanders 237—238 256—257 264 367
permutations 242—243
Peterson 261
Plane 120 124 147
Plato 134
Pluecker, Julius 118
Poe, Edgar Allan 233
Poincare, Henri 35 63 272 298 367
Point sets, theory of 201—204 219 291
Poisson, Simeon Denis 160 190
Polygenic functions 14
positional notation 80 110
Positive curvature 147—148
Possibility, mathematical 242
Pouring problems 161—162 190 191
Pretzel 278 283 284 287
Prime numbers 64 108 187—188 192
Principia 80 261
Principia Mathematica 218
Principle of insufficient reason 229—230 263—264
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