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Newman J.R. (ed.) — The World of Mathematics, Volume 4
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.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2000

Количество страниц: 448

Добавлена в каталог: 07.04.2008

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