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Kasner E., Newman J. — Mathematics and the imagination

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Название: Mathematics and the imagination

Авторы: Kasner E., Newman J.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1949

Количество страниц: 393

Добавлена в каталог: 28.11.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Fundamental Concepts of Algebra and Geometry      154 368
Galileo      41 198 252 365
Galois, $\acute{E}$ variste      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
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
Legouv $\acute{e}$ , 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 probl $\grave{e}$ mes plaisants et d $\acute{e}$ lectables      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      75; see $\pi$
Lustiges und Merkw $\ddot{u}$ rdiges von Zahlen und Formen      189 219
M $\acute{e}$ canique C $\acute{e}$ leste      221 253
M $\acute{e}$ r $\acute{e}$ , Antoine Gombault, Chevalier de      239—240
M $\ddot{o}$ bius strip      118 186 284—286
M $\ddot{o}$ bius, August Ferdinand      118 186
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
Men of Mathematics      363
Mendel, Gregor Johann      40
Menger, Karl      219 366
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
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
N $\ddot{o}$ beling, Georg      154 366
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
Non terminating decimals      51—53 64 167
Non — Euclidean geometry      113 132 134—150 155 300 359 360
Nondenumerable classes      49 50 53
Nonquantitative geometry      272—297
Nonsimple curves      7 281
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 Khayy $\acute{a}$ m      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, 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, of infinite classes      43 44
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
Pl $\ddot{u}$ cker, Julius      118
Plane      120 124 147
Plato      134
Poe, Edgar Allan      233
Poincar $\acute{e}$ , 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

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