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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
Seeber, Ludwig August      851 fn.
Segre, geometry      134
Seguin, Edouard      1180
Selberg, A., prime number theorem      507
Selection, measurement of Intensity      965—966
Selective operator      1563 1566—1569
Selfishness      1339
Semi-parabola, path of projectile      755—758
Semicircle, angle in      81
Semiregular solids      107 127
Seneca, comets      1326
Senior, Nassau William, quoted      1222
Senk, Herbert      671 fn.
Sensation, measuring      1159 1161—1163
Sense-distance      1161
Sensitiveness, experiment      1518—1521
Sensitivity, measuring      1159
Sentences, equivalence      1918—1919
Sentences, universal and existential      1904—1908
Sentential calculus, axiom      1684—1685 1693 1741
Sentential calculus, equivalence      1918
Sentential calculus, inference      1927—1929
Sentential calculus, laws of      1921—1923
Sentential calculus, negation of a sentence      1910—1913
Sentential calculus, symbolism of      1923—1927
Sentential function      1902—1904 1905 1907—1908
Sequence, limit of      62 63
Series, numbers      63
Seshu Aiyar, P.V.      367 368 370
Sesostris (king of Egypt), land division      79
Sets, infinite      1593—1605
Sets, theory of      1593—1605 2057—2058 2060
Sexagesimal method of counting      89
Shakespeare, William, quoted      306 fn. 568 603 1093 1421 2099 2124 2268 2369 2385 2439
Shanks, William      2378
Shannon, Claude E., information, theory of      1312
Shannon, Claude E., Mathematical Theory of Communication, The      2069 fn.
Shannon, Claude E., “A Chess-Playing Machine”      2124—2133
Shape geometry      1547—1548
Shapley, Harlow      1039 fn.
Shaw, George Bernard, commentary on      1522—1523
Shaw, George Bernard, quoted      573 1980 2124
Shaw, George Bernard, “Vice of Gambling and the Virtue of Insurance, The”      1524—1531
Sheffer, H.M.      1875
Shell, symmetry      715 717
Shelley, Percy Bysshe, quoted      1325
Ship distances, measuring      15 82
Short, James      815 fn.
Shortest distance, point to ellipse      131
Shortest line between two points      651 654
Shortsightedness, sight, cause      960—961
Sidgwick, Henry      386 396 1355
Siedentopf, Henry Friedrich W., microns      1039 fn.
Sight, angle measurement      17
Sign language, counting      434—435
Significance, test of      1513—1521
Signs, distinguishing      12 13
Signs, use and mention of      1883—1886
Similarity, congruence      682 695 696 715
Similarity, postulate of      564
Similitude, principle of      1004 1005 1007—1008 1012 1030 1039
Simplification, process      23
Simpson, Thomas, Fluxions, New Treatise on      2372 fn.
Simson, Robert      102 559
Simultaneous equations      36
Simultaneous inventions and discoveries      2357 2357 2360
Simultaneous speeds      142
Sine      18 39
Singer, Charles      2012 fn. 2013
Sinister, left      684
Sirius (star), density      1070
Sirius (star), radius      1077
Sitter, Willem de      1070 1075 2460
Six points, involution of      112—113
Six, occult property      221
Six, perfection of      2017
Size and weakness concomitant      1004
Size, weight adjustment      952—953
Sizzi, Francesco, quoted      822
Skeletal efficiency, animals      1007
Skeletal proportions      1006
Slates, use in Europe      459—460
Slosson, Edwin E.      1374 fn.
Small, culture of      2340
Smeaton, John      1007
Smith, Adam      267
Smith, David Eugene      210 fn. 211 430
Smith, David Eugene, Mathematics, A Source Book in      291 fn.
Smith, David Eugene, Mathematics, History of      454 fn.
Smith, David Eugene, Numbers and Numerals      430 442—464
Smith, Edwin      170
Smith, Henry J.S.      160 362 509
Smith, Kenneth      1036 fn.
Smith, Sidney, quoted      277 498
Smyth, Charles P.      838
Snell, Willebrod      226 792
Snow crystals, symmetry      712
Soap bubble, breaking      894—896
Soap bubble, commentary on      882—885
Soap bubble, composite      897—900
Soap bubble, divided, volume      1031
Soap bubble, interface      897 898 900
Soap bubble, size limit      893
Soap bubble, spherical      909
Soap bubble, surface concentration      893
Soap bubble, tension      894
Soap bubble, thickness      1040
Soap Bubbles, quoted      886
Soap Bubbles, Their Colours and the Forces Which Mould Them (Boys)      884 fn.
Soap film experiments      901—909
Soap solution, surface tension      891
Social Choice and Individual Values (Arrow)      1312
Social ethics, problems      2200—2204
Social Science, Field Theory in (Lewin)      1307
Social sciences, quantitative systematics      1298—1299
Socialism, biologists      956
Society, Dimensions of (Dodd)      1298 1299
Society, Improvement of      1192
Sociological Method, The Rules of (Durkheim)      2351 2356
Socrates      95 235
Soddy, Frederick      850 2024 2028
Solar system, changes      1318
Solid space, aggregate of directions      560
Solid space, aggregate of surfaces      556
Solid space, geodesic lines      564
Solids Naturally Contained within Solids (Steno)      873
Solids, amorphous      984
Solids, angle      560
Solids, aperiodic      985—986
Solids, body      658 659
Solids, boundary of      555
Solids, five regular      86 96 101 107 127 222 873
Solids, immersed in a fluid      185—186 188 199—200 2406—2409
Solids, measurement      12
Solids, Platonic      719
Solids, semi-regular      127 207
Solution, concept      1279—1280 1281
Solution, discriminatory      1282
Solution, surface tension, recipe      902
Somerville, Mrs. Mary, mathematical truths      2349—2350
Sommerfeld, Arnold      851 1050 1106
Sorokin, Pitirim A.      1263
Sound curve, analysis of      2300—2301
Sound curve, musical      2278—2281 2283
Sound curve, simple harmonic      2283
Sound waves      865 2280—2283
Sound, due to impact      100
Sound, hearing      2301—2309
Sound, hearing, table      2303
Sound, intensity, scale of      2304—2309
Sound, intensity, scale of, tables      2308
Sound, Newton’s theory      412
Sound, pain, threshold of      2305
Sound, period, frequency and pitch      2281—2282
Sound, pure tones      2278
Sound, reflection      862 865
Sound, science of      2277
Sound, simultaneous      2290
Sound, velocity      1122
South America, early computing methods      462—463
South America, numeral words      432
Southworth, F.Y., Mathematical Psychics      2199 fn.
Space and time, Kant’s conception      1957
Space and time, measurement      1958
Space and time, union      1133
Space groups, theory of      852 853 878
Space, absolute      360 2354
Space, co-ordinates of a point in      37
Space, conception      69 1839
Space, continuity      558
Space, curvature      47—45 567 656 2466
Space, divided into parts      555
Space, Euclidean      1606—1607
Space, experiential      2345
Space, flat      559 656—651
Space, infinit extension      1606—1610
Space, infinitesimal      1582
Space, intuition      661 665—666
Space, left and right distinction      679
Space, manifoldness      1794 fn.—1795 fn.
Space, mathematical doctrine      648
Space, measurements      655—656 664
Space, motion, laws of      554 659
Space, multidimensional      2345
Space, n-dimensional      2346 2347
Space, network of distances      1079
Space, non-Euclidean      1099—1100
Space, perception      60 62 661
Space, point, finding position of      93
Space, point-aggregate      556—557
Space, pseudospherical      657 662 663
Space, quantization      874
Space, radius curvature      1077 1095
Space, Riemann      1605
Space, rotation groups      721
Space, se"Space, Postulates of the Science of (Clifford)      552—567
Space, space-time      353 1049 1054 1836 1844
Space, spherical      657 663 664 666
Space, structure      681—682 695 696
Space, superposition      561
Space, symmetry      703
Space, three points in      551
Space, three-dimensional      360 557 1971
Space, Time and Gravitation (Eddington)      1071
Space, transformation      682 694
Space-filling figures      86 110
Space-filling substance, continuous motion      716
Space-relations, axioms of geometry      665
Space-relations, measurable      655
Space-Time-Matter (Weyl)      1831
Spain, clocks, early      805
Spain, finger numerals      455—456
Spain, numerals      454
Spar, Iceland      263 858
Spatial existence, discontinuity      415 416
Spatial magnitude      1001
Spearman, C      1304
Species, increase of      1193
Spectral lines, theory of      1064 1070
Spectroscope      919
Spectrum      260 840 842
Speed and distance, law connecting      222
Speeds, simultaneous      142
Speiser, Andreas, five regular solids      720
Speiser, Andreas, Gruppen von endlicher Ordnung, Theorie der      702
Speiser, Andreas, mathematics, symbolic construction      1838
Speiser, Andreas, music, mathematical treatment      703
Spence, insect strength      1012 1014
Spencer, Herbert, circle, theorem      2028
Spencer, Herbert, cosmic cycle      1555—1556
Spencer, Herbert, evolution, definition      1998
Spencer, Herbert, simtfitude, principle of      1004 1008
Spengler, Oswald, A Critical Estimate (Hughes)      2312 fn. 2313
Spengler, Oswald, commentary on      2312—2314
Spengler, Oswald, Decline of the West, The      2312
Spengler, Oswald, quoted      1256 2313
Spengler, Oswald, “Meaning of Numbers”      2315—2347
Spenser, Edmund, quoted      975
Sphere, area      89
Sphere, concentric      96
Sphere, curvature      563
Sphere, describing      44
Sphere, elementar flatness      559
Sphere, equation      37
Sphere, Greek geometricians      11
Sphere, polyhedron formula, Euler’s      585
Sphere, surface      592—593 595 651 1943
Sphere-making (Archimedes)      179
Spherical aberration      263
Spherical space      657 663 664 666
Spherical symmetry      688
Spherical triangle      109 121
Spherical trigonometry      18 109 125
Spheroids, equilibrium of elliptical      149
Spiegel, Henry William, Economic Thought, The Development of      1202 fn.
Spinoza, Baruch, Ethics      1295 1846
Spinoza, Baruch, quoted      982 990
Spiral nebulae, speed of recession      1074—1075 1089
Spiral, equiangular      147
Spiral, logarithmic      716 717
Spiral, parabola      137
Spiral, tangent to      104
Spiritual problem, philosophical solution      1151
Sprat, Thomas      1417 fn.
Springs, watch      805
Square root, extraction      2380
Square root, of two      525
Square, angles of      80
Square, describing      44
Square, half the co-efficient of x      115
Square, idea of      14
Square, incommensurable      16
Square, inverse      145
Square, magic      2436
Square, numbers      84 85
Square, pattern of lines      82
Square, Pythagoras’s theorem      84
Square, ratio of diagonal to side      88—89 97
Square, right-angled triangle      84
Square, rotation axis      875
Squire, John Collings, quoted      1094
Stackelberg, H. von      1268 fn. 1277 1283
Stadia      424
Stake, driving into the earth      737
Stamp, L. Dudley, Land for Tomorrow      1190 fn.
Standard deviation      1508 1509
Stapf, rice-grass, evolution      962
Star catalogue, Greenwich      801
Star pentagon, symbol      83 88 125
Stars, Internal Constitution of the (Eddington)      1070 1091
Stars, invisible in daytime      1158 1164
Stars, magnitudes      1032
Statement forms, symbolic notation      1879—1880
Statics      107 120
Stationary flight      1021
Statique des Liquides (Plateau)      898
Statistical deductions      1181
Statistical laws      1478—1486
Statistical Mechanics (Fowler)      508
Statistical Method, Studies in the History of (Walker)      1170 fn.
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