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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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Fluxions, New Treatise on (Simpson) 2372 fn. Fluxions, Sir Isaac Newton’s Method of (Robins) 287 fn. Folkes, Martin 811 Fontana, Niccolo (Tartaglia) 78 118—119 615 Fontenay, Louis — Abel, surveying 795 Fontenelle, Bernard de 256 Fontenelle, Bernard de, quoted 1647 Food and population, mathematics of 1193—1197 Food production, Increase 1189 1190 1194—1197 Food, animal consumption 1011 Foppa, Vincenzo 606 Foreseen events 1386 Form, magnitude 1001 Forsyth, Andrew Russell 267 Forsyth, Andrew Russell, quoted 362 Fortune morale and fortune physique 1156 1157 Foster, Carey 910 924 Foundations of Mathematics, Introduction to (Wilder) 1615 Four, early numeral 445 453 Four, Roman numeral 448 Four-color problem, topology 590—591 Four-dimensional geometry 359—360 Fourier, Jean B.J. 59 155 Fourier, Jean B.J., theorem 2298 2300 Fowler, R.H., approximative calculation 508 Fractional indices 131 fractional numbers 25 26 27 31 34 162 Fractionating 1564 Fractions, continued 104 105 374 Fractions, decadic 1061 Fractions, dyadic 1061—1062 Fractions, Egyptians’ 171 Fractions, Greek mathematicians 172 Fractions, interminable 2370—2371 2378—2380 Fractions, multiplication 17 25 33 Fractions, reduction 12 79 Fractions, triadic 1062 Fractions, unit 171 172 Fraenkel, G. 1011 fn. France, cartography 785 France, geometrical work, decline 133 France, mathematical genius 128 France, mathematical treatises 210 France, mathematics, rise of 118 120 France, metric system adopted 155 France, scientific knowledge 59 France, scientists, treatment of 330 Francesca, Piero della, Prospectiva pingendi, De 606 608 Francesca, Piero della, three-dimensional bodies 618 Frank, Phillip G., “Einstein, Mach and Logical Positivism” 1784 fn. Franklin, Fabian, quoted 357—358 Frederick II (king of Prussia) 149 154 317 Frederick the Great (Garlyle) 1581 Frederick the Great (Garlyle), quoted 128 Free particle, determination of position 1051—1053 Free-Thinking in Mathematics, A Defense of (Berkeley) 287 Freedom of choice 1301 Freedom, Escape from (Fromm) 1301 Frege — Russell thesis 1680—1681 Frege, Gottlob 388 394 1578 1627 1680 Frege, Gottlob, Arithmetik, Grundgesetze der 389 537 Frege, Gottlob, Arithmetik, Grundlagen der 537 Frege, Gottlob, Begriffsschrift 1910 fn. Frege, Gottlob, logistic arithmetic 1870 1874 Frege, Gottlob, vocabulary for mathematics 390 French Revolution 59 fn. 300 330 Frequency distribution 1495—1499 Frequency of error, law of 1481 Freud, Sigmund, unqualified ideas 1296 1297 Frey, Dagobert, Symmetry in Art, On the Problem of 678 Friedrich, x-ray diffraction 840 851 858 Frisch, Karl von 488 1283 Frisius, Gemma 803 804 Frodsham, H.M. 811 fn. Fromm, Erich, Escape from Freedom 1301 Froth, liquid 891 Froude, William 1009 Froude’s Law 1008 fn. 1009 1016 1019 1025 Fry, Thornton C, Probability and Its Engineering Uses 1448 fn. Fuchs, Lazarus 1377 Fuchsian functions 1377 2044—2045 Fuller, Thomas, quoted 1285 Fuller, Tom, idiot Savant 465 470 Function, analysis of 412 Function, conception 19 20 39 Function, continuous 2410 Function, dimensions 51 Function, generalization 411 Function, idea of 2334 Function, mathematical meaning 1997 Function, minute variations 1387 Function, monogenic 2003 Function, number-surfaces 2337 Function, propositional 70 Function, research 2342 Function, signs for 32 fn. Function, theory 125 160 Function, variability 22 29 32 38 70 411 1832—1833 1941 2332 Functional dependence 29 Functional thinking 1832 Fundamental measurement 1801—1802 1804 1812 Fundamental Theory (Eddington) 1071 Future, determined by the past 1383 1453 Galen, De temperamentis 671 Galileo (Galilei), acceleration, dynamics 729 Galileo (Galilei), astronomical discoveries 218 732 Galileo (Galilei), book of the Universe 153 Galileo (Galilei), commentary on 726—733 Galileo (Galilei), cycloid 135 1939 Galileo (Galilei), Dialogue on the Great World Systems 732 732 733 733 Galileo (Galilei), Dialogues Concerning Two New Sciences 784 fn. Galileo (Galilei), dynamics 120 Galileo (Galilei), falling bodies 44—49 51 52 57 58 61 549 728 729 734—754 1833 Galileo (Galilei), heresy trial 732—733 Galileo (Galilei), hydrostatic balance 731 732 Galileo (Galilei), insects’ jumping ability 956 Galileo (Galilei), Jupiter’s satellites 782 782 784 789 800 822 Galileo (Galilei), longitude, solution of 782 784 Galileo (Galilei), mathematical abstractions 731 fn. Galileo (Galilei), mechanics, science of 733 Galileo (Galilei), microscope, compound 732 732 Galileo (Galilei), motion, persistence of 729—730 Galileo (Galilei), motions, composition of 52 Galileo (Galilei), pendulum, behavior 412 731 731 732 784 Galileo (Galilei), pentagon 615 Galileo (Galilei), projectiles, path of 729—730 Galileo (Galilei), quoted 726 731 733 734 952 Galileo (Galilei), Saggiatore 11 731 1844 Galileo (Galilei), similitude, principle of 1005 1007—1008 1012 1025 Galileo (Galilei), telescope 218 732 Galileo (Galilei), thermometer 732 Galileo (Galilei), tree altitude 1006 Galileo (Galilei), “Mathematics of Motion” 734—770 Galileo, His Life and Work (Fahie) 782 fn. Galileo, The Crime of (de Santillana) 733 fn. Gall, Franz Joseph 1149 Galle, Johann 834 Gallium, discovery 920 Galois, Evariste, group theory 509 1534 1534 Galton, Francis, classification and measurement 1169 1171 Galton, Francis, commentary on 1167—1172 Galton, Francis, correlation, principle of 1170 1170 Galton, Francis, counting 1169 Galton, Francis, Explorer in Tropical South Africa, Narrative of 433 Galton, Francis, genius, inheritance 1157 1171 Galton, Francis, Hereditary Genius 772 fn. 1170 1171 Galton, Francis, Human Faculty, Inquiries into 1171 Galton, Francis, Probability, the Foundation of Eugenics 1372 Galton, Francis, publications 1168 Galton, Francis, quoted 1173 1481 Galton, Francis, “Classification of Men According to Their Natural Gifts” 1173—1188 Games see also “Hurwicz “Theory Games and Economic Behavior, Theory of (Von Neumann and Morgenstern) 1265 1267 1268 1270 1277 1282 1284 1285 1293 1309 “Theory Games, games, theory of 1264 1285—1293 1309 1312 2415 Games, matching pennies 1286—1288 Games, mathematical treatment 2414 Games, of chance 1285—1293 1450 1452 1454 1460 Games, of strategy 1265 1284 1310—1311 Games, three boxes game 1288—1281 Games, two generals 1292—1293 Gans, R. 1044 fn. Garnett, William 1107 1108 1114 Gases, kinetic theory 515 774—777 851 1381 1384 1388 1392 1451 Gases, liquefying 985 Gasking, Douglas, counting and measuring 1616—1617 Gasking, Douglas, “Mathematics and the World” 1708—1722 Gauricus, Pomponius 607 Gauss, C.F., und die Seinen (Mack) 294 fn. Gauss, Carl Friedrich see also “Bell “Prince Gauss, Carl Friedrich, algebra 308 313 Gauss, Carl Friedrich, analysis 165 299 334 338 339 Gauss, Carl Friedrich, Arithmeticae, Disquisitiones 305 306 307 309—312 321 325 327 333 498 Gauss, Carl Friedrich, astronomical calculations 314—316 320 324 334 498 Gauss, Carl Friedrich, binary theory 310 Gauss, Carl Friedrich, binomial theorem 298—299 310 311 325 Gauss, Carl Friedrich, biquadratic reciprocity 325 Gauss, Carl Friedrich, Ceres, discovery of 315—316 Gauss, Carl Friedrich, commentary on 294 Gauss, Carl Friedrich, complex numbers, analytical functions 322 332 Gauss, Carl Friedrich, congruences, theory of 310 498 Gauss, Carl Friedrich, differential geometry 334—335 Gauss, Carl Friedrich, discoveries 317 326 Gauss, Carl Friedrich, electromagnetic research 317 327 338 339 498 Gauss, Carl Friedrich, elliptic functions 304 305 332 Gauss, Carl Friedrich, errors, theory of 303 966 1389 1457 Gauss, Carl Friedrich, Fermat’s Last Theorem 312 313 326 Gauss, Carl Friedrich, geodetic research 301 334 337 Gauss, Carl Friedrich, geometry, contributions to 498 Gauss, Carl Friedrich, heliotrope, invention 327 Gauss, Carl Friedrich, hyperbolic geometry 158—159 Gauss, Carl Friedrich, hypergeometric series 324 Gauss, Carl Friedrich, infinitesimal calculus 60 Gauss, Carl Friedrich, interpolation 140 Gauss, Carl Friedrich, invariants 350 Gauss, Carl Friedrich, least squares, method of 303 331 334 Gauss, Carl Friedrich, mathematical physics 334 Gauss, Carl Friedrich, non-Euclidean geometry 314 332 1728 Gauss, Carl Friedrich, numbers, theory of 68 338 498 499 511 Gauss, Carl Friedrich, parallel axiom 2019 Gauss, Carl Friedrich, polygon, Euclidean construction 502 Gauss, Carl Friedrich, Prime Number Theorem 157—158 Gauss, Carl Friedrich, probabilities, theory of 1157 Gauss, Carl Friedrich, quadratic reciprocity, law of 301 302 310 325 Gauss, Carl Friedrich, quaternions 332 Gauss, Carl Friedrich, quoted 314 326 333 334 502 Gauss, Carl Friedrich, space geometry 546 Gauss, Carl Friedrich, surfaces, theory of 160 335—337 652—656 1083 Gauss, Carl Friedrich, Theoria motus 316 331 Gauss, Carl Friedrich, writings 157 Gaussian complex integers 325 326 513 Gay, John, quoted 1334 Gay-Lussac, Joseph 1324 1381 Gayant, Louis 786 Gelfond, A. 514 Gellibrand, Henry, variation, lines of 784 Gelon (king of Syracuse), Archimedes’ Sand Reckoner 420 Geminus, perspective 605 Gene, aperiodic solid 986 Gene, dominant 959 Gene, giant molecule 973 982 983 Gene, modification of 964 Gene, recessive 959 Gene, size 975 975 Gene, stability of naturally selected 988 Gene, temperature 976 988 Gene, transmission 933 Generalizations of number 25 26 30 Genetics, modern 976 Geniuses, defined 2359 fn. Genotypical inversion 694 Gentzen, Gerhard 1694 Geodesic line 563—564 Geodesic surface 564 565 Geodesy, heliotrope, invention 327 Geodetic surveying, least squares, method of 303 331 334 Geoid, closed surface 1835 Geometric fallacies 1948—1949 Geometric mean 92—93 1491—1492 Geometric symmetry 694 Geometric, Elements de (Legendre) 158 Geometrical conditions 404 Geometrical measurements 660—661 Geometrical Methods, A History of (Coolidge) 169 fn. 236 Geometrical Methods, A History of (Coolidge), quoted 237 fn. Geometrical progression 101 137—138 Geometry and empirical science, Euclid’s postulates, inadequacy 1636—1637 Geometry and empirical science, mathematical certainty 1637—1638 Geometry and empirical science, Poincare’s conventionalism 1644—1646 Geometry and empirical science, postulates and truth 1638—1641 Geometry and empirical science, pure and physical geometry 1641—1644 Geometry, abstract mathematics 62 Geometry, algebra, application of 61 130 162 Geometry, analytical 17 31—43 56 112 116 129 133 155 236—237 359 411 631 1942 2343 Geometry, areas and solids 82 Geometry, arithmetic applied to 25 189 Geometry, arrays of points 876 Geometry, assumptions analyzed 546 550 565 Geometry, bee 110 188 207 208—209 Geometry, characteristics 22 Geometry, circle 147 Geometry, concepts, status of 1640 Geometry, conformal mapping 337 Geometry, continuous lines 876 Geometry, cross-classification 77 Geometry, deductive 13—14 Geometry, descriptive 601 631 Geometry, differentia 104 334 Geometry, earliest mathematical science 1295 Geometry, Egyptian 13—14 68 Geometry, elliptic 159 1639 Geometry, empirical science 1635—1646 Geometry, Essay on the Foundations of (Russell) 377 Geometry, Euclidean 570 2019—2020 Geometry, Euclidean and non-Euclidean unified 359 Geometry, fourdimensional 359—360 Geometry, Greek 10 61 68 Geometry, higher 151 Geometry, Hilbert’s axiomatics 1650 1667 1670 1727—1728 Geometry, hyperbolic 158—159 1639 Geometry, ideal elements 1701—1703 Geometry, infinity, upon the plane at 554 Geometry, intuition 1958 Geometry, magnitudes 585 Geometry, many-dimensional 134 Geometry, mathematical certainty 1637—1638 Geometry, metrical 103 359 570 1706—1707 Geometry, non-Euclidean 102 158 165 306 332 342 396 546 1639 1728—1730 2019 2055 2327 Geometry, number allocation 85 Geometry, of position 339 573 Geometry, On the Hypotheses That Lie at the Bases of (Riemann) 546 645 Geometry, optical-finite 2333—2334 Geometry, order 1587—1588 Geometry, origin 10 11 79 2054 Geometry, Parabolic 159 Geometry, physical 2035 Geometry, plane 130 568 719 1640—1641 1651 1672—1673 Geometry, Plato’s views 96 Geometry, postulational system 1295 1638—1641 Geometry, practical and theoretical 80 Geometry, problems 239 649
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