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Newman J.R. (ed.) — The World of Mathematics, Volume 4
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Название: The World of Mathematics, Volume 4
Автор: 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.
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Рубрика: Математика /
Статус предметного указателя: Готов указатель с номерами страниц
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Год издания: 2000
Количество страниц: 448
Добавлена в каталог: 07.04.2008
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Предметный указатель
Dido (queen of Carthage), commentary on 882—885
Dido (queen of Carthage), variations, calculus of 886 887
Differential analyser 2074 2115
Differential calculus 42 47 54—55 129 132 139 142 143 152 258 887 2341
Differential coefficient 2337
Differential equation 147
Differential geometry 104 334
Differential invariants 363
Differential quotient 47 61
Differentials, higher orders of 57
Differentiation, basic problem 1964
Differentiation, concepts 1964
Diffraction, light 262 263
Digby, Sir Kenelm, “powder of sympathy” 779 802
Digges, Captain Dudley 812—813
Digit, number 483
Digital computer 517 2075 2102—2107
Digitalization, principles of 2087—2089
Dimensional Analysis (Bridgeman) 1004 fn.
Dimensions, function 51
Dimensions, The Theory of (Lanchester) 1004 fn.
Dimensions, theory of 1009
Dingle, Herbert 1072 1085
Dingle, Herbert, Scientific Adventure, The 728
Diodorus, Archimedes’ studies 179
Diogenes Laertius, Pythagorus 189
Diophantine analysis 508—510
Diophantus, algebra invention 16 22 2330
Diophantus, algebraic epitaph 114 188 207
Diophantus, analytic theory of numbers 508
Diophantus, limit-feeling 2331
Diophantus, notation 131
Diophantus, syncopated algebra 115—116
Diophantus, writings 114
Dirac, P.A.M., electron, theory 1569 1570 1573
Dirac, P.A.M., obscurity 1072
Dirac, P.A.M., wave mechanics 974 fn. 1089
Direct currents, quantitative measurements 1150
Directions, aggregate of 560
Dirichlet, Peter G.L. 311 312 507 512
Discontinuous groups, theory of 876
Discrete aggregate 557 558
Discriminant 351 361
Diseases, notorious (table) 1428
dispersion 1504—1511
Displacement, fluids by solids 185—186 188 199—200 2406—2409
Displacement, geometry of 1547
Displacement, group theory 1545—1546 1570—1573
Distance, mathematics of 2327
Distances, expressed by arithmetic 25
Distances, successive 221 222 231—232
Disutility and discommodity 1227
Ditton, Humphrey 802 803
Divergent series 369 370 1783 1783
Divided line, geometry of 98
Divinity, arithmetic needful to 215
Division, by zero 293 fn.
Division, calculating prodigies 482—483
Division, methods 461 462
Division, partition 24
Division, Roman methods 451
Dixon, H.H. 1036 fn.
Dobell, Clifford 996 998 999
Dobereiner, J.W., atomic weights 910
Dodd, Stuart C, Society, Dimensions of 1298—1299
Dodecahedra, religious significance 720
dodecahedron 86 96 101 613 2324
Dodgson, Charles Lutwidge see “Lewis Carroll”
Dolichometry 2056
Dolland, John 2372 fn.
Dominance, evolution of 967
Domination, relation 1278 1280
Donnan, Frederick 893
Double refraction 569
Douglas, J., Plateau’s problem 888 902
Down to Earth, Mapping for Everybody (Greenhood) 779 fn.
Doyle, Arthur Conan, quoted 1285 1956 2439 2444 2450
Drake, Edwin L. 928
Drake, Stillman 733 fn.
Dresden, Arnold, Mathematics, An Invitation to 2423 fn.
Dreyer, John L.E., “Time, Measurement of” 784 fn.
Driesch, Hans Adolf 692—693 1032 1033
Drop, surface-tension 1032 1041
Drosophila fly, average progeny (table) 960
Drosophila fly, mutation, temperature 989
Dryden, John, quoted 288 2369
du Bois-Reymond, Emil 642 644
Duality, principle of 112 121 567 634—638
Dublin, Ireland, Bills of Mortality 1437
Duclos, Samuel 786
Dudeney, H.E., Mathematics, Amusements in 2417 fn.
Duerer, Albrecht (Panofsky) 601 fn. 603—621
Duerer, Albrecht, analytical geometry 613
Duerer, Albrecht, city-planning 615—616
Duerer, Albrecht, commentary on 600—602
Duerer, Albrecht, cube, doubling 618
Duerer, Albrecht, geometry books 601 609
Duerer, Albrecht, Measurement, Course in the Art of 601 609 610 611 612—619
Duerer, Albrecht, parallel projection 613
Duerer, Albrecht, pentagon 615
Duerer, Albrecht, perspective, mechanical means 609—610
Duerer, Albrecht, perspective, theoretical knowledge 604
Duerer, Albrecht, polygons 614—615
Duerer, Albrecht, projection and section, principle 625
Duerer, Albrecht, proportions for human figure 671 671 713
Duerer, Albrecht, quoted 601 fn.
Duerer, Albrecht, three-dimensional bodies 617—618
Duerer, Albrecht, “costruzione legittima” 608 609
Duerer, Albrecht, “Melancholia” 2436
Duiilier, Facio de 284
Dumas, Jean Baptiste 915
Dunsany, Lord, quoted 1859
Duopolist strategies 1268—1275
Duopoly 1267 1276 1282
Duquesne, Abraham 788
Durell, Clement V., Relativity, Readable 1106
Durell, Clement V., Relativity, Readable, “Theory of Relativity, The” 1107—1143
Durkheim, Emile, culture, nature of 2351 2351 2353
Durkheim, Emile, thinking and acting, independent reality 2356
Dyad of the great and small 98
Dyadic fractions 1061—1062
Dyadic notation 2422
Dynamical similarity 1004
Dynamical world, model of reality 44
Dynamics and Quantum Theory, Variational Principles in (Yourgrau and Mandelstam) 822 fn.
Dynamics, acceleration 729
Dynamics, Galileo’s invention 120
Dynamics, laws of 659
Dynamics, Newtonian 48
Dynamics, principle of least action 110
Dynamics, science of 43—52
Dynamo, invention 9
e (defined) 151
Eagle, double-headed 675
Earth (element), characteristic shape 96
Earth (planet), daily rotation 679—680
Earth (planet), density 267 268
Earth (planet), limited surface 164
Earth (planet), measurement 11 118 205—206 783 791 792—793
Earth (planet), motion 104 110 120
Earth (planet), oblate spheroid 799
Earth (planet), orbit 1102
Earth (planet), perimeter 421
Earth (planet), small furniture of 851—853
Earth (planet), weight 884 884
Earth-sun-moon problem 2183 fn.
Eastern bargainers’ counting methods 440—441
Ebenmass, symmetry 671
Ecclesiastes, cosmic cycle 1555
Eclipses, sun and moon 1839
Economic Consequences of Peace, The (Keynes) 1357
Economic fluctuations, theory of 1282
Economic freedom 1301
Economic Thought, The Development of (Spiegel) 1202 fn.
Economics, ethics, relation to 1221
Economics, logical method 1220—1221
Economics, mathematical 888 1200 1201 1217—1218
Economy of science 1787—1795
Economy, political 1217—1237
Eddington, Arthur Stanley, commentary on 1069—1073
Eddington, Arthur Stanley, commentary on, cosmical number 1069
Eddington, Arthur Stanley, commentary on, Expanding Universe, The 2461
Eddington, Arthur Stanley, commentary on, Fundamental Theory 1071
Eddington, Arthur Stanley, commentary on, images 1073
Eddington, Arthur Stanley, commentary on, indeterminacy, principle of 1048
Eddington, Arthur Stanley, commentary on, Internal Constitution of the Stars 1070 1091
Eddington, Arthur Stanley, commentary on, Mathematical Theory of Relativity 1071
Eddington, Arthur Stanley, commentary on, Nature of the Physical World, The 1050 fn. 1091
Eddington, Arthur Stanley, commentary on, New Pathways of Science 1537
Eddington, Arthur Stanley, commentary on, obscurity 1072
Eddington, Arthur Stanley, commentary on, quoted 275 1056 1481
Eddington, Arthur Stanley, commentary on, space, curvature 2466
Eddington, Arthur Stanley, commentary on, Space, Time and Gravitation 1071
Eddington, Arthur Stanley, commentary on, stellar structure 1070
Eddington, Arthur Stanley, commentary on, wave mechanics 1064
Eddington, Arthur Stanley, commentary on, “Constants of Nature, The” 1074—1093
Eddington, Arthur Stanley, commentary on, “New Law of Gravitation and the Old Law, The” 1094—1104
Eddington, Arthur Stanley, commentary on, “Theory of Groups, The” 1558—1573
Eden, Richard, navigation 781 789
Edgeworth, F.H. 1045 fn.
Edgeworth, Richard L. 1170 1368
Egg, polar axis 691
Egg-shaped body, surface 652
Egypt algebraic puzzles 178
Egypt counting 99
Egypt exact measurements, science of 80
Egypt fractions 12 171
Egypt geometrical knowledge 10 11 13 14 68 80 169 175 2016
Egypt land surveys 10 79 80
Egypt mathematics 12 69 79 169—178 2317
Egypt mensuration 81
Egypt numerals 442 445
Egypt ornamental art 703
Egypt pyramid, building 79
Egypt Rhind papyrus 170
Egypt sphere, area 89
Egypt temples, orientation 11
Eiffel Tower 1007
Eighteen, Roman numerals 449
Eikon Basilike 255
Einfuehrung in das mathematische Denken (Weismann) 1947 fn.
Einstein, Albert see also “Durell “Theory
Einstein, Albert, atomic theory 874
Einstein, Albert, causation 1058
Einstein, Albert, ether, motion 1115
Einstein, Albert, formula 1045
Einstein, Albert, gravitation and electromagnetism 881
Einstein, Albert, gravitation theory 146 328 409 841 1077 1095 1096 1100 1101—1102 1103
Einstein, Albert, hypothesis, relativity 1120—1124
Einstein, Albert, invariants 352
Einstein, Albert, least action, principle 110 154
Einstein, Albert, physics, principles of 2355
Einstein, Albert, quoted 275 1107 1646 2354
Einstein, Albert, relativity, theory of 128 162 646 888 1053 1076 1608 1836
Einstein, Albert, space-time 1049 fn. 2465
Einstein, Albert, spectral lines 1070
Einstein’s Theory, The Idea of (Thirring) 1105
Eisenstein, F.M.G., cubic reciprocity 326
Eisenstein, F.M.G., invariants 351
Eisenstein, F.M.G., prime numbers 501—502
Eka-aluminum 919 920 926
eka-boron 921 926
eka-silicon 920 926
Eleatic school, conception of motion 19
Election, operation of 1864—1865
Electric charges, discontinuous 1115
Electric lamps, length of life (table) 1484
Electric spark 854
Electric telegraph invention 9 317 327
Electromagnetic waves 644 1115
Electromagnetism 219 317 327 338 498 881 1053
Electron, cathode ray 856 1066
Electron, measurement 1048 1051 1089
Electron, name and concept 1046
Electron, orbits 1560—1563
Electron, proton, mass-ratio 1075
Electron, radius 1084
Electron, The (Millikan) 1044 fn.
Electron, volt 987
Electronic memory 518
Electronic motion 1051
Electrostatics, conformal mapping 337
Element, primordial 415
Elementary flatness, postulate 559—561 566
Elements of Geometry (Euclid) 11 41 69 100 101—102 108 141 190 193 552—553 1648
Elements, high frequency spectra 842—853
Elements, high frequency spectra (table) 847
Elements, periodic table 841
Elements, radiations (table) 847
Eliot, T.S., quoted 1359
Ellipse, curve 34 91
Ellipse, notion of 1834
Ellipse, planetary 126 144 218 229—230
Ellipse, Pythagorean term 87 97 115
Ellipse, tangent of 107
Elliptic functions 158 326 332 344 371 1375
Elliptic geometry 159 1640
Elliptic integrals 369
Ellis, H. Leslie 1177
Elsasser, T. 1028 fn.
Embryology, Elements of (Huxley and de Beer) 691 fn.
Emerson, Ralph Waldo, quoted 2099 2124
Empedocles, cosmic cycle 1555
Empire State Building, New York 1005 fn.
Empirical science, geometry 1635—1646
Employment, Interest and Money, General Theory of (Keynes) 1357 1358
Energy, conservation 6 643 643
Energy, employed playing musical instraments (table) 2307
Energy, invariant 353
Energy, physical idea 415
Energy, quantized 977
Energy, vibrations 2290
England see also “Britain”
England, algebra introduced 23
England, longitude at sea, finding 802
England, longitude, reward offer for 803—804
England, mathematics, progress in 59 118 120 156 210
England, representative government, invention 956
England, Royal Observatory 800
English language, explicitness 406
Enharmonic scales 100
ENIAC, computing machine 2080 2082
Enriques, Federigo, Logic, The Historic Development of 1784 fn. 2367
Entemena (king), silver vase 674
Entity, unknown 16
Entomology, Introduction to (Kirby and Spence) 1012 fn.
Entropy, principle 992 995 2467—2468
Entropy, statistical meaning 994
Entropy, what it is 993
Ephemerides (Cassini) 791 793
Ephemerides (Kepler) 124
Epicurean Life, The (Plutarch) 189
Epicurus, cosmic cycle 1556
Epicurus, dust motes 1045
Epicycle, circle 110 226
Epistemology 1055 1059
Equable description of areas, law of 126 229—230
Equal ratios 82 99 101 117
Equality, sign of 28
Equant, planetary speeds 226 227—228
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