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Newman J.R. (ed.) — The World of Mathematics, Volume 4
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Íàçâàíèå: The World of Mathematics, Volume 4
Àâòîð: Newman J.R. (ed.)
Àííîòàöèÿ: 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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Äîáàâëåíà â êàòàëîã: 07.04.2008
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Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
Ïðåäìåòíûé óêàçàòåëü
Vinci, Leonardo da, flying machine 1023 1258—1259
Vinci, Leonardo da, geometrical construction of cast-shadows 609
Vinci, Leonardo da, impetus, theory of 727
Vinci, Leonardo da, perspective 606 607 609
Vinci, Leonardo da, polygons 615
Vinci, Leonardo da, symmetries 713
Vinci, Leonardo da, “The Last Supper” 623 626
Vinogradov, I.M., prime numbers 508
Vinogradov, I.M., prime numbers, Waring problem 515
Viscosity, effect on small bodies 1042
Visible limits, principle of 2340
Vision, Euclidean theory 605
Vision, range 1027
Visual angle 605
Visual images, pseudospherical space 662—663
Visual sensation, one eye 624
Vital statistics, bills of mortality 1424
Vital statistics, casualties, general observations 1426
Vital statistics, casualties, particular 1429—1431
Vital statistics, males and females 1431—1436
Vitality, degrees at all ages 1440
Vitellio, Erasmus, perspective 605
Vitruvius 179 181 200 615 671 713
Vitruvius, quoted 185—186
Viviani, Vincenzo 786
Vizetelly, Frank 1996
Vocabulary, mathematics 1994
Vocal chords, animals 1026—1027
Volkmann, A.W. 1150 1153 1154
Voltaire, quoted 145 180 268 284 1341
Vortices, theory of 132 257 259
Voss, H. 1035 fn.
Vries, Hugo de 932 976 987
Vulcan (planet) 1102—1103
Waddington, C.H. 1245
Wages, variations 1207—1208
Wakeford, E.K. 358 fn.
Walker, GHbert 1024 fn.
Walker, Helen M., Statistical Method, Studies in the History of 1170 fn.
Walking, problem of 1015—1016
Wall, W.S., Sperm Whale, A New 1008 fn.
Wallace, A.R. 2360
Wallace, Robert, Mankind, Nature and Providence, Prospects of 1189
Wallis, John, Arithmetica Infinitorum 1039 fn.
Wallis, John, calculations 468 477
Wallis, John, fractional indices 131 140
Wallis, John, integral calculus 42
Wallis, John, limits 165
Wallis, John, logarithm 137 138
Wallis, John, music and mathematics, analogy 2212
Wallis, John, parallel postulate of Euclid 158
Wallis, John, symbolic algebra 115
Walras, Leon 1202
Walter, W. Grey, Living Brain, The 2068 fn.
Walterhausen, Sartorius von 330
Walterhausen, Sartorius von, quoted 319
Walther, Bernard, clock, driven by weights 784
Walton, W. 1005 fn.
War and foreign politics, arms races, quantitative theory 1245—1252
War and foreign politics, moods prior to a war 1252—1253
War and foreign politics, schismogenesis 1243—1245
War and foreign politics, threats, diverse effects 1240—1243
War operations, scientific analysis 2160
War, A Study of (Wright) 1239
Ward, James 386
Ward, Seth 259
Warfare, ancient and modern contrasted 2138—2140
Warfare, concentration, principle of 2138—2148
Warfare, exchange rates 2171—2179
Warfare, fighting units, unequal strength 2144
Warfare, fleet evaluation 2152
Warfare, mathematical treatment, validity of 2143—2144
Warfare, modern conditions investigated 2140
Warfare, sweep rate, following tactical changes 2168—2171
Warfare, weakness of divided force 2142
Warfare, weapons, influence of efficiency 2144—2145
Warfare, “n-square” law 2138 2145 2148—2157
Waring, E. 499
Waring’s conjecture 514
Warner, Sylvia Townsend, Mr. Fortune’s Maggot 2250—2251
Warner, Sylvia Townsend, “Geometry in the South Pacific” 2252—2260
Warp and weft, angles 859
Wars of Modern Civilization (Wright) 1254—1255
Wars, distribution in time 1255
Wars, general causes 1254
Wars, more frequent 1259—1260
Wars, occurrence 1258
Wasps, counting ability 434
Wassen, Henry, The Ancient Peruvian Abacus 463 fn.
Waste, prevention of 5 6 13
Watch, springs 805
Water philosophy, Thales’ 82 85
Water wheel and odometer, longitude measurement 788
Water, characteristic shape 96
Water, organisms swimming in 1045
Water, surface tension 891
Watson, G. L 1012 fn.
Watson, W.H., Physics, on Understanding 1049 fn.
Watt, James 2066
Wave mechanics 146 154 164 974 977 1050 1064—1068 1074 1082 1085
Wave-equation 1088 fn. 1089—1090
Wealth, mathematics of, checks to population 1197—1199
Wealth, mathematics of, population and food 1192—1197
Wealth, theory of 1206—1208
Weather Prediction by Numerical Process (Richardson) 1238
Weather predictions 1382
Weaver, Warren, Mathematical Theory of Communication, The 2069 fn.
Weaver, Warren, “Mathematics of Communication” 518
Weber — Fechner law 1158
Weber, E.H. 1146 1148 1152—1153 1156
Weber, Wilhelm, electromagnetic research 327 338
Weber, Wilhelm, light, theory 1115
Weber’s law 1149 1153 1154 1156 1157 1158 1159 1160 1161 1163 1164
Wedge, invention 8
Wedge, motions and rest 44
Weierstrass, Karl Theodor 291 fn. 1589
Weierstrass, Karl Theodor, analysis 65 76 165 287 291 299 323
Weierstrass, Karl Theodor, curve, tangent 1959 1962—1963
Weierstrass, Karl Theodor, infinitesimal calculus 60 152 1580—1581
Weierstrass, Karl Theodor, irrational numbers 97
Weierstrass, Karl Theodor, limit, conception of 59
Weierstrass, Karl Theodor, mathematics, formalizing 1971
Weighing machine, geometrical 162
Weight, measurable property 1801—1802 1804 1812
Weight, moving by force 179 181
Weight, speed, correlation 1010
Weismann, F., Einfuehrung in das mathematische Denken 1947 fn.
Weiss, Paul 1767 fn.
Welby, Francis A. 642 fn.
Weldon, correlation, principle 1170
Wells, G.P. 933 fn.
Wells, H.G. 933 fn.
Welsbach, Carl Auer von 848
Wenham, F.H. 1023 1023
Werner, Johannes 612 613 618 1005
Wertheimer, Max, Productive Thinking 467 fn.
West, Ranyard 1263
Western Philosophy, A History of (Russell) 235 fn.
Weyl, Hermann, commentary on 1830—1831
Weyl, Hermann, comparability, axiom of 1079 fn.
Weyl, Hermann, mathematical rigor 2058
Weyl, Hermann, parallel displacement 1071
Weyl, Hermann, publications 1831
Weyl, Hermann, reducibility, axiom of 1953 fn.
Weyl, Hermann, symmetry 671—724
Weyl, Hermann, “Mathematical Way of Thinking, The” 1832—1849
What is Life? (Schrodinger) 973 974
Whately, Richard, arithmetical powers 470
Wheat, value variations 1207—1208
Wheel 8 135
Whetstone of Witte (Record) 23 210
Whewell, William 280
Whewell, William, quoted 265 433
Whirlpool theory, planetary motion 132 144
Whiston, William 280 281 802 803
Whiston, William, quoted 270 273 278
White, A.D., Warfare of Science with Theology 2349 fn.
White, Gilbert 1002 fn.
White, Leslie, A., commentary on 2314
White, Leslie, A., Culture, The Science of 2314
White, Leslie, A., Mathematical Reality, The Locus of 2348—2364
White, Leslie, A., “Keresan Indian Color Terms” 2354 fn.
White, Leslie, A., “Primates, On the Use of Tools by” 2362 fn.
White, Leslie, A., “Symbol, The: Origin and Basis of Human Behavior” 2351 fn.
Whitehead, Alfred North, algebra of symbolic logic 396
Whitehead, Alfred North, Algebra, Universal 396 399
Whitehead, Alfred North, commentary on 395—401
Whitehead, Alfred North, extensive abstraction 399
Whitehead, Alfred North, mathematical physics 399
Whitehead, Alfred North, mathematics, definition of 1830
Whitehead, Alfred North, Mathematics, Introduction to 3 291 398 412
Whitehead, Alfred North, Mind and Nature, bifurcation 399
Whitehead, Alfred North, organism, philosophy of the 398 400
Whitehead, Alfred North, philosophical writings 398—399
Whitehead, Alfred North, Principia Mathematica 378 397 399 1668 1894
Whitehead, Alfred North, quoted 75 104 442 726 932 1074 1134 1341 1537 2015 2278 2315
Whitehead, Alfred North, reducibility, axiom of 1953
Whitehead, Alfred North, Russell, association with 377 396 397
Whitehead, Alfred North, “Mathematics as an Element in the History of Thought” 402—416
Whitman, Walt, quoted 1668
Whittaker, Edmund T., From Euclid to Eddington 1047
Whittaker, Edmund T., Laplace research 1316
Whittaker, Edmund T., quoted 1708
Whittaker, Edmund T., space-time 399 399
Wickham, Anna, quoted 672
Widman, Johann 460
Wiechert, electrons 855
Wieferich, A. 510
Wiener, Christian 1043 1043 1044
Wiener, Norbert, Cybernetics 1307
Wiener, Norbert, Cybernetics, Human Use of Human Beings, The 1308—1309
Wiener, Norbert, Cybernetics, mental disorders 1308
Wigner, E. 979
Wilder, Raymond L., Foundations of Mathematics, Introduction to 1615
Wilder, Raymond L., “Axiomatic Method” 1647—1667
Wilke, Johann Karl 1322
Willcox, Walter F. 1417 fn.
William of Occam 726
Willsford, Thomas 211 fn.
Wilson, B.M. 367 fn.
Wilson, E. Bright, Scientific Research, Introduction to 1458
Wilson, Edmund, The Triple Thinkers 1831 fn.
Wilson, J., criterion for primality 506
Wine casks, measuring 127 137
Wing-area, relation to weight 1021
Wing-beats, insects 1027
Winkler, eka-silicon 920
Winsor, Justin 789 fn.
Wireless signals, velocity 1127
Wireless telegraphy 9 219
Wisdom, John 1714
Wissler, Clark, Man and Culture 2351 fn.
Witte, Sergius 930
Wittgenstein, Ludwig, quoted 1201 1668 2369
Wittgenstein, Ludwig, tautology 1733 1735 1876
Wohler, Friedrich, urea, synthesized 690
Wohlgemut, Michael 600
Wolf, Charles J.E. 786 fn.
Wolfflin, Heinrich 684 685
Woodger, J.H., Axiomatic Method in Biology 1660 fn.
Woodhouse, Robert, Analytical Calculation, Principles of 291 fn.
Words, analogies 25
Words, learning 491
Wordsworth, William, quoted 255 1797
Working backwards, method of 1988—1992
World function 162
World War II, operations research 2158
World, beginning and end of 1091—1092
World, four-dimensional continuum 1837
World, remapping 795
World, The Mirror of the 210 fn.
World-curvature, radius 1076 1077 1096
Wotton, Henry 128
Wren, Christopher 143 264
Wright, Quincy, War, A Study of 1239
Wright, Quincy, Wars of Modern Civilization 1254—1258 1260—1262
Wright, S. 951 958
Wright, Wilbur and Orville 1023
Wundt, Wilhelm 1154 1155 1166
Wurm, J.F. 198 fn.
x-axis 33 132 308
x-rays, analysis 842 878
x-rays, crystals 840 851 852 857—870 975
X-rays, diffraction 857—858 860
X-rays, interference 840
x-rays, Laue’s experiment 857—870
x-rays, mutation production 989 990
X-rays, production 841 854
x-rays, spectra, photographing 842—845
x-rays, two types 843
x-rays, velocity 857
X-rays, wave nature 840
x-rays, wave theory 840 851 857 863 870
y-axis 33 34
Year, number of days in 82
Years, distribution in relation to war and peace 1256
Young, A. 77
Young, Edward, quoted 1512
Young, John Wesley, Algebra and Geometry, Fundamental Concepts 1616
Young, John Wesley, Projective Geometry 1616
Young, John Wesley, “Mathematical Science, A” 1696—1707
Young, Thomas 655 1033
Yourgrau, Wolfgang 882 fn.
Zamebone, Ugo 478
Zeitschrift fur Math. u. Physik 197 fn. 198
Zeller, Eduard, Philosophic der Griechen, quoted 1555
Zend — Avesta (Fechner) 1151 1152 1153 1156
Zeno, Achilles and the tortoise puzzle 94 1585—1586
Zeno, analysis 165
Zeno, equal ratios 99
Zeno, infinitesimals 41
Zeno, infinity, philosophy of 1580 1591
Zeno, motion, conception of 19 1582 1935
Zeno, paradoxes 1937 2410
Zenodorus 207 fn.
Zermelo, Ernst 505 512 1599 1603 1732
Zero, Arabic numeral 454
Zero, division by 293 fn.
Zero, number 96 2325 2326
Zero, Zeta-function 374
Zero-sum games 1310—1311
Zeta-function 374
Zeuxippus 420
Zinc, discovery 923
Zipf, G.K., Human Behavior and the Principle of Least Effort 1302
Zipf, G.K., law of least effort 1303
Zoology, left-right problem 686—688
Zsigmondi, Richard, microns 1039 fn.
Zuni Indians, finger counting 438 440
“Aesthetics, Mathematical Theory of” (Birkhoff) 671 fn. 703 2185—2195
“Alcohol, Union of, with Water” (Mendeleeff) 922
“Algebra the Second, reign of” 156
“Analytic Geometry, Invention of” (Boyer) 236 fn.
“Arithmetical Restorations” (Ball) 2439—2443
“Arithmeticke, The Declaration of the Profit of” (Recorde) 212—217
“As I was going to St. Ives” 178
“Atomic Numbers” (Moseley) 842—850
“Atom” (Maxwell) 1035
“Automata, Theory of” (von Neumann) 2070—2098
“Axiomatic Method, The” (Wilder) 1647—1667
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