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Newman J.R. (ed.) — The World of Mathematics, Volume 4
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Íàçâàíèå: The World of Mathematics, Volume 4Àâòîð: 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.
ßçûê: Ðóáðèêà: Ìàòåìàòèêà /Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö ed2k: ed2k stats Ãîä èçäàíèÿ: 2000Êîëè÷åñòâî ñòðàíèö: 448Äîáàâëåíà â êàòàëîã: 07.04.2008Îïåðàöèè: Ïîëîæèòü íà ïîëêó |
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Ïðåäìåòíûé óêàçàòåëü
Multiplication, Egyptians 172 Multiplication, fractions 17 25 Multiplication, generalization of number 30—31 Multiplication, grating method 461 Multiplication, Greek guiding process 117 Multiplication, logarithms 123 Multiplication, logical 25 Multiplication, matrices 361—362 Multiplication, measurement 1804—1806 Multiplication, negative number 29—30 Multiplication, repetitions 24 Multiplication, Roman methods 451 Multiplication, symbols 27 Multiplication, tables 460 Multiplication, velocities and times 50 Munro, H.A.J. 1556 Murders, world total 1261 Murray, H.J.R., games, publications on 2414 Muscular Movement in Man (Hill) 1014 fn. Muscular powers, limit to 1174 Music, celestial, grasping 2019 Music, mathematics of, harmonic curves 2283 Music, mathematics of, hearing 2301—2309 Music, mathematics of, period, frequency and pitch 2281—2282 Music, mathematics of, sound curves, tuning fork 2288 Music, mathematics of, strings and harmonics, vibrations 2294—2301 Music, mathematics of, tuning-forks and pure tones 2278—2281 Music, mathematics of, vibrations 2283—2288 Music, mathematics, analogy between 2212 Music, numerical ratios 99—100 Music, periodicities of notes 416 Music, rhythm 702—703 Musical instraments, history of 2321 Musical intervals, planetary relations 127 Musical scale, harmonic progressions 85 189 Mutants, lower stability 988 Mutation, atomic pattern 973 Mutation, natural 988 Mutation, overcoming selection 964 972 Mutation, quantum jumps 977 Mutation, reversible 990 Mutation, spontaneous 987 Mutation, x-ray induced 989 990 Myriad 425 Mysterious Universe, The (Jeans) 2274 2275 2276 Mysterium (Kepler) 125 Mysticism and Logic (Russell) 379 1552 Mysticism, creators in mathematics 2013 n dimensions, geometry of 342 344 359 640 n partitions of a number (theorem) 167 n roots of algebraic equation 511 n-square law, warfare 2138 2145 2148—2157 Nagel, Ernest, commentary on 1395—1397 Nagel, Ernest, Logic and Scientific Method, An Introduction to 1852 fn. Nagel, Ernest, Probability, Principles of the Theory of 1449 fn. Nagel, Ernest, “Goedel’s Proof” 1668—1695 Nagel, Ernest, “Probability, The Meaning of” 1398—1414 Nagel, Ernest, “Symbolic Notation” 1878—1900 Named numbers 491 494 Napier, James R. 1009 fn. Napier, John, arithmetic triangle 135 Napier, John, biography 121 Napier, John, inventions 122 Napier, John, logarithms 23 123—125 137 140 142 148 Napier, John, mathematical notation 728 Napier, John, quoted 123 Napier, John, spherical trigonometry 125 Napier, John, symbolic algebra 115 Napier’s Bones 122 Napoleon I, Laplace’s atheism 1321 2376—2377 National defense 1243 Natura Acidorum, De (Newton) 272 Natural and Political Observations Made Upon the Bills of Mortality (Graunt) 1416 Natural bodies, mechanical properties 665 Natural equality 1173 Natural intellectual gifts, production 1181 Natural Knowledge, An Enquiry concerning the Principles of (Whitehead) 398 Natural numbers 500 Natural Philosophy, Treatise on (Thomson and Tait) 1218 Natural science, ancient 15 Natural science, application of mathematics 43—52 69—70 Natural science, mathematics inspiration 2054 Natural science, prevention of waste 5—6 Natural science, satisfaction of inteUectual needs 10 Natural selection, analysis 951 Natural selection, characters, socially valuable, individually disadvantageous 969—971 Natural selection, mathematics of 958—972 Natural selection, measurement of intensity 965—966 Natural selection, metrical character 966—969 Nature, economical tendencies 154 888 Nature, inexhaustibleness 1351 Nature, laws of, mathematically expressed 411 Nature, left-right symmetry 686 Nature, misleading 1107—1108 Nature, observation by scientists 411 Nature, quantitative analysis 1844 Nature, The Concept of 398 Nature, uniformity 549 Nautical Almanac 5—6 43 44 233 778 814 Naval warfare, fire concentration tactics 2154 Naval warfare, fleet evaluation 2152 Naval warfare, n-square law 2151—2152 Nebulae, speed of recession 1074—1075 1089 Necessary speed, principle of 1020—1021 Needham, Joseph, Order and Life 691 Nees von Essenbeck, Christian 314 Negative entropy 992—993 995 Negative indices 131 negative numbers 6 27—28 30 33 34 65 96 115 119 147—148 162 Negotiation, effect of threats 1241 Nelson, Horatio, Lord, tactical scheme 2155—2157 Neptune, discovery 820 834—839 853 1102 Neugebauer, O. 89 169 449 Neumann, Caspar 1419 1446 Neumann, John von, biographical 2052 Neumann, John von, chess strategies 1264 Neumann, John von, games, perfect information 1291 Neumann, John von, Games, Theory of 1265 1267 1268 1270 1277 1282 1283 1285 1293 1309 1312 2415 Neumann, John von, imputations 1281 Neumann, John von, main theorem 1288 1290—1291 Neumann, John von, matching pennies 1264 Neumann, John von, mathematical economics 1201 Neumann, John von, “Mathematician, The” 2053—2063 Neumann, John von, “Theory of Automata” 2070—2098 Neural networks, formal 2089—2092 Neurath, Otto 1592 Neurobiophysical theory 1299 Neuron, function 2077—2080 Neutron, discovery 1089—1090 New Sperm Whale, A (Wall) 1008 fn. Newlands, John, law of octaves 910 910 915—916 916 924 926 Newman, James R., Mathematics and the Imagination 2350 fn. Newman, James R., “Goedel’s Proof” 1668—1695 Newman, James R., “New Names for Old” 1996—2010 Newman, James R., “Paradox Lost and Paradox Regained” 1936—1955 Newman, James R., “Pastimes of Past and Present Times” 2416—2438 Newman, James R., “Rhind Papyrus, The” 169—178 Newman, James R., “Srinivasa Ramanujan” 368—376 Newton, Humphrey 259 280 282 Newton, Humphrey, quoted 212 Newton, Isaac, absolute space 2354 Newton, Isaac, achievement, period of 256—257 Newton, Isaac, air resistance 886 887 Newton, Isaac, analytical geometry 133 155 360 Newton, Isaac, apple story 145 257 328 Newton, Isaac, Arithmetica Universalis 145 1985 Newton, Isaac, binomial theorem 139 140 256 258 519—524 Newton, Isaac, brachistochrone problem 267 274 Newton, Isaac, calculus 256 258 267 279 Newton, Isaac, chemical operations 272—273 Newton, Isaac, chromatic aberration 260 Newton, Isaac, Chronology of the Ancient Kingdoms Amended 273 274 Newton, Isaac, classical axiomatics 1725 Newton, Isaac, commentary on 254 Newton, Isaac, curves, moving points 58 Newton, Isaac, earth measurements 267—268 Newton, Isaac, earth, theoretical investigation 800 Newton, Isaac, equations, imaginary roots 273 364 Newton, Isaac, experiments 268 279 Newton, Isaac, finite differences, calculus 267 Newton, Isaac, fits, theory of 262 Newton, Isaac, fluxions, method of 48 58 61 142—143 145 258 2056 Newton, Isaac, gravitation, theory of 45 62 142 144 256—258 266—268 798 799 880 1094—1098 1100 1101 1103 1317 1822—1825 Newton, Isaac, honors 145—146 254 268 269—270 Newton, Isaac, Hooke misunderstandings 261 271 278 Newton, Isaac, hypotheses 260 266 Newton, Isaac, inertia, law of 729 Newton, Isaac, infinite series 521—524 Newton, Isaac, inverse square law 145 258 264 265 266 Newton, Isaac, least resistance, problem of 267 Newton, Isaac, Leibniz controversy 58—59 143 152 165 278 Newton, Isaac, letter to Royal Society 259 Newton, Isaac, light waves 262 263 267 1065 Newton, Isaac, limits 165 291 Newton, Isaac, logarithm 137 Newton, Isaac, longitude at sea 803 804 Newton, Isaac, lunar theory 801 Newton, Isaac, mathematical analysis 299 Newton, Isaac, mathematical astronomy 313 315 Newton, Isaac, mathematical discoveries 258 295 Newton, Isaac, mechanics 1725—1727 Newton, Isaac, metallic mirrors 260 263 Newton, Isaac, motion, theory of 45 728 1469 Newton, Isaac, Motu Corporum, De 264—265 Newton, Isaac, Natura Acidorum, De 272 Newton, Isaac, Opticks 259 260 261 263 264 269 272 Newton, Isaac, Opticks, quoted 266 273 286 Newton, Isaac, optics, lectures 258—259 271 Newton, Isaac, planetary motions 52 132 140 144—145 257 264 267—268 Newton, Isaac, Portsmouth Papers 274 284 Newton, Isaac, Principia 62 144 145 257—259 264 268 269 272—275 279 280 282 284 286 1418 1648 1725 2055 Newton, Isaac, Principia, quoted 265—266 267 Newton, Isaac, projective geometry 102 Newton, Isaac, Prophecies of Daniel and the Apocalypse of St. John, Observations upon 274 Newton, Isaac, quoted 141 326 1094 Newton, Isaac, relative concepts 683 Newton, Isaac, Second Law of Motion 760 fn. Newton, Isaac, sound, theory of 154 412 Newton, Isaac, space structure 696 Newton, Isaac, space-time 1844 Newton, Isaac, spectrum 260 Newton, Isaac, speculative theory, attitude to 262 Newton, Isaac, sphere, gravitational pull 268 279 Newton, Isaac, telescope, reflecting 142 259 260 264 Newton, Isaac, universe, system of the 153 Newton, Isaac, unpublished papers 280—282 284 Newton, Isaac, variations, calculus of 267 Newton, Isaac, velocity, concept 1959 Newton, Isaac, waterclock 255—256 Newton, Isaac, white light discoveries 141—142 146 256 260—263 Newton, Isaac, wind force, ascertaining 140 Newtonian assumption 1822—1826 Newtonian mechanics 1412 1413 Newtonian viscosity 267 Newton’s rings 1028 1029 Next Million Years, The (Darwin) 1190 fn. Nicholson, Marjorie 2212 fn. 2213 Nicod, J. 1875 Nicole, Pierre 1453 fn. Nilson, Lars Fredrik, eka-boron 921 Nim, game 2426 2427 Nine, Roman numerals 449 Nineteen, Roman numerals 449 Niven, I.M., Waring problem 515 Noether, Emmy 333 Noise level, computing machines 2076—2077 Nombres, Theorie des (Lucas) 504 Non-Euclidean geometry 102 158 165 306 332 342 396 546 1639 1728—1730 2019 2055 2327 2341 Normal to a surface 335 Normals 108 Northrop, F.S.C. 399 fn. Norton, overlapping generations 966 Notation, algebraic 12 22—24 26—27 32 92 120 130 Notation, Arabic 117 Notation, decimal 23 114 116 117 1839 Notation, development 13 14 Notation, fluxions 58 Notation, integral calculus 54 Notation, Leibniz’s 57—58 Notation, numerical 99 Notation, symbolic see “Symbolic notation” Notation, Viete’s improvements 236 Notizen-journal (Gauss) 304 Nouvelles Experiences sur le vide (Pascal) 134 Null hypothesis 1515—1516 1519 Number intelligence, birds 494 Number knowledge, poverty of 432 Number theory, problems 2024 Number, concept 525—527 Number, cosmical 1069 Number, definition 537—543 Number, digital 483 Number, essence of all things 2322 Number, essence of the real 2016 Number, finite 2006—2009 Number, Goedel 1688—1692 Number, great and little 1003 Number, group relationships 402 Number, magnitude 2324 2331 Number, mathematical 2315 2316 Number, meaning of 1798 Number, mechanical demarcation 2315 Number, optical symbol 2323 Number, origin 432 433 434 Number, properties 156 Number, related to artistic creation 2320—2321 Number, relation to birth of man 2339—2340 Number, variable 2343 Number, world-form 2320 Number-feeling 2332—2333 Number-group, abstract properties of 2346 Number-sense, beginning of 2318 Number-surfaces, theory of functions 2337 Number-thought, religious intuition 2330 Number-worlds 2317—2319 Numbers and limits, modern views 62—67 Numbers and Numerals (Smith and Ginsburg) 430 442—464 Numbers, abstract 24 511 Numbers, algebraic 26 313 326 499 511 Numbers, analytic theory of 158 374 499 508 Numbers, binary scale 516 Numbers, cardinal 389 1584 1594 1598 Numbers, character to nature 95 Numbers, characteristic designs 84 Numbers, classes 65—66 Numbers, complex 3 60 71 119 162 308 309 321—322 529 Numbers, composite 101 Numbers, concrete 24 Numbers, denumerably infinite 1594—1597 Numbers, diameter 207 fn. Numbers, discrete domain 507 Numbers, Fermat’s theory 236 Numbers, fractionary 25 26 27 31 34 162 Numbers, generalization 25 26 30 Numbers, googol 2007—2010 Numbers, harmony of 2322 Numbers, hypercomplex 2346 Numbers, ideal 499 513 Numbers, identification 85 numbers, imaginary 29—30 34 119 148 309
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