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Newman J.R. (ed.) — The World of Mathematics, Volume 4
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Название: The World of Mathematics, Volume 4Автор: Newman J.R. (ed.) Аннотация: Volume 4 of a monumental 4-volume set covers such topics as mathematical machines, mathematics in warfare, a mathematical theory of art, mathematics of the good, mathematics in literature, mathematics and music, and amusements, puzzles, and fancies. Individual contributions by A. M. Turing, Aldous Huxley, Sir James Jeans, Lewis Carroll, and other notables. Informative commentary by noted mathematics scholar James R. Newman precedes each essay. Numerous figures.
Язык: Рубрика: Математика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 2000Количество страниц: 448Добавлена в каталог: 07.04.2008Операции: Положить на полку |
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Regular solid 222 fn. Regulator, clock 807 fn. Relationships, abstract theory of 1307 Relationships, algebra of 1587 2435 Relationships, correlation between 966 Relationships, function 2341 Relationships, geometrical 404 Relationships, logic of 1578 1579 relationships, one-to-one 540 1063 1065 1593 16 Relative concepts 683 Relativism 69 Relativity (Rice) 1105 Relativity and Modern Physics (Birkhoff) 2183 fn. Relativity, absolute motion 1115—1116 Relativity, algebraic relations between two worlds 1134—1143 Relativity, axis, contraction-ratio 1111—1114 Relativity, clock-rates 1138—1139 Relativity, clocks 1126—1133 Relativity, Einstein’s hypothesis 1120—1124 1608 Relativity, ether 1115 Relativity, general, discovery 2055 Relativity, Hero, pioneer 110 Relativity, intersections of world-lines 352 Relativity, invariants 342 352 Relativity, light, velocity 1114—1126 1142—1143 Relativity, mathematical analysis 1836 Relativity, Mathematical Theory of (Eddington) 1071 Relativity, mathematics of 334 Relativity, Michelson — Morley experiment 1116 1117—1120 1122 1123 1126 Relativity, observations at different places 1127 Relativity, Origin, Nature and Influence of (Birkhoff) 2183 fn. Relativity, planet Mercury 128 Relativity, principle of 1845 Relativity, quaternions 396 Relativity, Readable (Durell) 1106 Relativity, rowing on running water 1116—1117 Relativity, simultaneous events 1132—1133 Relativity, space-time 359 1133 Relativity, synchronizing two clocks 1127—1132 Relativity, The ABC of (Russell) 379 1105 Relativity, theory of 161 162 680 687 888 1053 1055 1083 1105—1143 1572 1836—1837 1847 1957 2356 Relativity, time and distance intervals 1139—1142 Religious Life, Elementary Forms of (Durkheim) 2351 2356 Repetitions, multiplication 24 Repetitive phenomena, mathematical phenomena 1301—1302 Representative government, Invention of 956 Reptilian skeletons, resemblance to bridges 999 999 Republic (Plato) 188 Research, operational 1245 Resonance, natural harmonics 2301 Retaliation, effect of threats 1242—1243 Reusch, B. 1028 fn. Revesz, G. 490 496 Revolution, cybernetic 1308 Reymond, Emil du Bois 1043 fn. Rhetorical algebra 115 Rhetorical geometry 130 Rhind Papyrus, formulae 89 Rhind Papyrus, geometry 11 174—175 Rhind Papyrus, mathematical problems 79 171—178 Rhind Papyrus, The (Chace) 173 Rhind, A. Henry 170 Rhythm, infinite rapport 699 Rhythm, musical principle 702—703 Ricci, Curbastro 328 352 Rice, James, Relativity 1105 Richard, Jules, paradox 1686—1687 1692 Richardson, Henry S. 800 fn. Richardson, Lewis Fry, commentary on 1238—1239 Richardson, Lewis Fry, Mathematical Psychology of War 1238 1246 Richardson, Lewis Fry, Weather Prediction by Numerical Process 1238 Richardson, Lewis Fry, “Energy from and to Atmospheric Eddies” 1238 Richardson, Lewis Fry, “Mathematics of War and Foreign Politics” 1240—1253 Richardson, Lewis Fry, “Statistics of Deadly Quarrels” 1254—1263 Richer, Charles 1011 Richer, Jean 795 799 800 Richtmeyer, F.K. 1028 fn. Rideal, E.K. 1040 Riemann spaces 1605—1610 Riemann, Georg F.B., differential geometry 335 Riemann, Georg F.B., elementary flatness 566 Riemann, Georg F.B., elliptic geometry 159 639 1639 1640 1672 Riemann, Georg F.B., functions, theory of 160 885 901 Riemann, Georg F.B., geometry assumptions analyzed 546 550 565 Riemann, Georg F.B., Geometry, On the Hypotheses That Lie at the Bases of 546 645 Riemann, Georg F.B., infinitesimal calculus 60 Riemann, Georg F.B., invariants 352 Riemann, Georg F.B., space geometry 546; 547 Riemann, Georg F.B., space measurements 568 655 656 657—568 659 660 Riemann, Georg F.B., Zeta-function 2026 fn. Right, double meaning of word 684 Right-angled triangle, area, finding 42 207 Right-angled triangle, Egyptian knowledge of 11 80 Right-angled triangle, Pythagorean theorem 188 190—192 408 Right-angled triangle, squares on the hypotenuse 189 Right-angled triangle, sum of squares 84 Rigid figures, mobility 657—658 Rigid motion 717 Rigid solids 665 Rigor, mathematical 2057—2058 Risk, theory of 1367 fn. 1370 Robbins, Herbert, Mathematics, What Is? 2411 fn. Robbins, Herbert, “Lever of Mahomet” 2412—2413 Robbins, Herbert, “Plateau’s Problem” 901—909 Robbins, Herbert, “Topology” 581—599 Roberts, mice, color changes 963 Roberval, Gilles Personne 42 52 58 134 788 Robins, Benjamin 287 Rodents, evolution of color 964 Rodler, Hieronymus 611 Roentgen rays see “x-rays” Roentgen, Wilhelm Konrad 840 841 856 Rogers, William A. 370 Roman numerals 447—448 451 458 Romans, abacus 456 Romans, fractions, reducing 12 Romans, large number forms 450 Romans, mathematics, progress 18 Romans, number symbols 443 Romans, ordinate 33 Romer, Olaus 786 Roos, Charles F. 888 Root-mean-square deviation 1508 Roots, equation 119 145 273 309 364 Roots, extractions 521—524 2380 Roots, geometry 239 241 241 243 Roots, quadratic equation 1087 1089 Rope stretchers, land surveyors 80 Rope, measuring right angles 11 Roscoe, Henry Enfield 916 Ross, G.R.T. 235 fn. Rosser, J.B. 510 Rotation, finite groups (table) 724 Rotation, imaginary numbers 309 Rotation, improper 713 723—724 Rotation, solid bodies 659 Rotation-plus-dilatation 716 717 719 Rotational symmetry 672 673 687—688 705 712 713 714 Rote learning 1295—1297 Roujon, Henry 786 fn. Roulette, Initial Impulse of needle 1383 1387 Rousseau, Jean Jacques, quoted 1478 Rowing on running water 1116—1117 1119 Royal Society of London 786 1417 2212—2213 Royal Society, Transactions of 2212 Royce, Josiah 1378 Ruckle, Carl 478 479 480 Rudolph u (king of Bohemia) 125 224 225 230 Rudolphine tables 225 232 Ruffini, P., group theory 1534 fn. 1554 Russell, Bertrand A.W., acceleration, falling bodies 729 730 Russell, Bertrand A.W., antinomies 1674 Russell, Bertrand A.W., arithmetic and logic 388 1830 1958 Russell, Bertrand A.W., commentary on 377—380 Russell, Bertrand A.W., continuity 2410 fn. Russell, Bertrand A.W., descriptions, theory of 389 Russell, Bertrand A.W., economics 1203 Russell, Bertrand A.W., External World, Our Knowledge of the 2411 fn. Russell, Bertrand A.W., Geometry, Essay on the Foundations of 377 Russell, Bertrand A.W., Human Knowledge, Its Scope and Limits 1049 fn. Russell, Bertrand A.W., infinity 1600 Russell, Bertrand A.W., knowledge, theory of 391 Russell, Bertrand A.W., Leibniz, Philosophy of 378 388 Russell, Bertrand A.W., mathematical investigations 167 Russell, Bertrand A.W., Mathematical Philosophy, Introduction to 378 1875 Russell, Bertrand A.W., Mathematical Philosophy, Introduction to, quoted 1558 Russell, Bertrand A.W., Mathematics, The Principles of 378 Russell, Bertrand A.W., Matter, Ultimate Constituents of 1552 Russell, Bertrand A.W., meaning and significance 389 Russell, Bertrand A.W., Mind, Analysis of 1552 Russell, Bertrand A.W., minimum vocabularies 390—391 Russell, Bertrand A.W., Mysticism and Logic 379 1552 Russell, Bertrand A.W., paradox 1631 fn. Russell, Bertrand A.W., Principia Mathematica 378 388 389 390 392 1668 1855 1894 Russell, Bertrand A.W., probabilities 1357 Russell, Bertrand A.W., quoted 4 488 546 568 1356 1773 1856 1857 Russell, Bertrand A.W., reducibility, axiom of 1953 Russell, Bertrand A.W., Relativity, The ABC of 379 1105 Russell, Bertrand A.W., theory of types 1740—1742 Russell, Bertrand A.W., uncertainty principle 1049 Russell, Bertrand A.W., universals 390 Russell, Bertrand A.W., White-head, association with 385 396 397 399 400 Russell, Bertrand A.W., writings 377 378—379 382 389 Russell, Bertrand A.W., “Definition of Number” 537—543 Russell, Bertrand A.W., “Mathematics and the Metaphysicians” 1576—1590 Russell, Bertrand A.W., “My Mental Development” 381—394 Russell, Bertrand A.W., “War the Offspring of Fear” 1238 1244 1247 1253 Russia, abacus 457—458 Russia, fractions, 17th century 172 Russia, oil deposits 929 Rutherford, Ernest, atom, nucleus 842 850 Rutherford, Ernest, radioactivity 2462 2464 Rylands, G.H.W. 1358 fn. Saccheri, Girolamo, parallel axiom 2019 Sachs, Julius von 1032 1034 Sachs, Julius von, saddle point 1272—1273 1275 1277—1278 1288 1289 Saflord, Truman Henry, calculating prodigy 466 477—478 Saggiatore, u (Galileo) 731 1844 Saint Vincent, Gregoire de 137 Salmon, George 151 161 Salmon, T., music and mathematics, analogy 2212 Salt, crystal structure 878 Salusbury, Thomas 732 fn. Salvation, attainment 1372 Salvio, Alfonso de 733 fn. Sambuca 182 182 183 Sampling, chance, effects of 1460—1461 1468—1477 Sampling, methods 1459—1468 Sampling, statistical laws 1478—1486 Samuelson, P.A. 2199 fn. Sand, number of grains, Coney Island 2007 2008 Sand, number of grains, universe-size sphere 428 2328 2328 Sand-Reckoner (Archimedes) 106—107 418 420—429 2328 Sandler, Christian 195 fn. Sanford, Vera 509 Sanger, Charles 386 Santa Cruz, Alonso de 805 Santayana, George, quoted 581 Santillana, Giorgio de 732 fn. Santillana, Giorgio de, Galileo, The Crime of 733 fn. Sarton, George, Science, A History of 169 Saturn, motions 1317 1320 1326 Saturn, observations 791 Saunderson, Nicholas 807 2372 Savages, finger counting 437 438—440 Savart, Felix 1041 Savile, Sir Henry 1588 Sawyer, W.W., Mathematician’s Delight 1491 Sayer, A.B. 1039 fn. Scale analysis 1304—1305 1306 Scale, binary 2423 Scale, effect of 1003 Schaeffer, G. 1032 fn. Schaudinn, Fritz 1044 1045 Schemfeld, Amram, New You and Heredity, The 933—934 fn. Schilpp, Paul Arthur 378 fn. 395 Schismogenesis 1243—1244 Schlick, Moritz 1592 Schlosser, Julius von 685 fn. Schoenflies, space groups 878 Schott, Gaspar 2379 Schreiber, Heinrich (Grammateus) 618 Schroder, propositions, logic of 1869—1870 1871 Schroder, theory of relations 1307 Schrodinger, Erwin, commentary on 973—974 Schrodinger, Erwin, Science and Humanism 1049 fn. 1056 Schrodinger, Erwin, scientific concepts, cultural nature 2355 Schrodinger, Erwin, wave mechanics 974 1050 Schrodinger, Erwin, What Is Life? 973 974 Schrodinger, Erwin, “Causality and Wave Mechanics” 1049 1056—1068 Schrodinger, Erwin, “Heredity and the Quantum Theory” 975—995 Schumacher, Heinrich Christian 331 476 837 Schur, theory of groups 77 Schwann, Theodor, cell theory 1043 fn. Schwarzschild, astronomy 1069 Science and Humanism (Schrodinger) 1049 fn. 1056 Science and Music (Jeans) 2277 Science and the Human Temperament (Schrodinger) 2355 fn. Science and the Modern World (Whitehead) 398 399 Science and the Modern World (Whitehead), quoted 726 fn. Science Awakening (Van der Waerden) 169 fn. Science et Methode (Poincare) 2321 fn. Science et Religion (Boutroux) 2047 Science with Theology, The Warfare of (White) 2349 fn. Science, A History of (Dampier) 646 fn. 726 1048 1786 Science, A History of (Sarton) 169 fn. Science, Aspects of (Sullivan) 2014 Science, biological 413 Science, business methods 10 Science, communication of 10 Science, economy of 9—10 69 1787—1795 Science, logical 1219 Science, mathematical and exact, confusion between 1218—1219 Science, New Pathways of (Eddington) 1537 Science, observational methods 405 Science, Origins of Modern (Butter-field) 726 fn. Science, Pioneers of (Lodge) 219 732 Science, political control 1301 Science, The Principles of (Jevons) 1202 Science, trial-and-error method 1297 Science, universal language 255 Sciences, Academie Royale des 785 786—789 792 Scientific Adventure, The (Dingle) 728 Scientific astronomy 14 Scientific classification 8 Scientific laws, invariance 640 Scientific observation, probabilities, theory of 1157 Scientific Research, Introduction to (Wilson) 1458 Scientific Revolution, The (Hall) 726 fn. Scientific theory, awareness 2012 Scientific thought, evolution of 726 Scotland, mathematics 118 120 Scripture, E.W. 467 fn. 471 478 Sea level, surface 1835 Sea, casualties 5—6 Sea, flux and reflux 149 Secant, limiting position 61 Secant, tangent 36 37 Section, projection 623—639 Sedileau, planisphere 794
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