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Bell E.T. — Mathematics: Queen and Servant of Science
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Название: Mathematics: Queen and Servant of ScienceАвтор: Bell E.T. Аннотация: An absorbing account of pure and applied mathematics from the geometry of Euclid to that of Riemann, and its application in Einstein's theory of relativity. The twenty chapters cover such topics as: algebra, number theory, logic, probability, infinite sets and the foundations of mathematics, rings, matrices, transformations, groups, geometry, and topology. Mathematics was republished in 1987 with corrections and an added foreword by Martin Gardner.
Язык: Рубрика: Математика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 1996Количество страниц: 437Добавлена в каталог: 16.04.2010Операции: Положить на полку |
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George III xv 293 Gettysburg 21 Gibbs, J.W. xv 384 God 33 160 249 300 348 Goedel, K. xv 414n.—415 Goldbach, C. xv 222 235 Gottschalk, E. xv 239 Graph(s) 121—132 Graph(s), periodic 367—368 Grassmann, H.G. xv 146 Gravitation, Einstein's 214 216—217 266 Gravitation, force of 213 Gravitation, Newton's universal 218 284 286—290 308 371 384 Gravitation, Newtonian 214 216—217 265—266 279 283 288 329 Gravitation, theory of 1 115 203 Gravity 212 Gravity, force of 288 Greek mathematicians 94 101 132 135 140 184 220—221 226 272 277 310—311 Gregory, D.F. xv 22 Grossmann, M. xv 210 Group property 143—144 Group(s) 55 94 142 253 354 Group(s), Abelian 169 Group(s), abstract 95 164 170 178 Group(s), alternating 180 Group(s), automorphism 75 Group(s), commutative 169 Group(s), continuous 90 182—183 352 Group(s), cyclic 169 180 Group(s), definitions of 144 167 Group(s), dual 75 Group(s), factor 174 Group(s), finite 165 170 175 178 Group(s), fundamental theorem of 168 Group(s), Galois 186 Group(s), infinite 165 182—183 Group(s), permutation see "Groups substitution" Group(s), postulates for 142 168—169 Group(s), quotient 174 180 Group(s), representation of 178 Group(s), simple 174 Group(s), substitution 170 175—177 181 Group(s), symmetric 178 181 Guess, Goldbach's 235 Guided missiles 257 336 Gyroscope 136 Hadamard, J. xv 234 Halley, E. xv 285—286 Hamilton, W.R. xv 22 37 54 92 114 183 349—351 356—358 388 Hardy, G.H. xv 162 235—236 246 Harmonic analysers 369 Harmonics 361 Heart beats 359—360 Heat 119 290 329 362 Heat conduction of 2 5 210 319 362 Heat death 388 Heat flow of 318 Heat phlogiston theory of 266 Hebrew 245 Hegel, G.W.F. xv 302 Heisenberg, W. xv 2 64 391—392 Heraclitus xv 310 Heredity, statistical study of 381—382 Hermite, C. xv 12 185 245 Herschel, W. xv 293—295 Hertz, H. xv 255 369 372 Hilbert, D. xv 21 32 34 38 43 53 237—238 245—246 411—415 Hindus 237 360 Hipparchus xv 290 Hiroshima 116 Hitler 257 382 Hoelder, O. xv 187 Homomorphism 73 170—171 173—174 Homomorphism, theorem 174 Hugo, V. xv 115 Humanists 279 Huntington, E.V. xv 29 57 76 Huxley, T.H. xv 258 260 Hydrodynamics 329—330 Hydrogen 257 Hydrogen, ortho- 257 Hydrogen, para- 257 Hyperbola 130 274 icosahedron 183—185 Ideal(s) 80 91 240 Ideal(s), Dedekind 243 Ideal(s), division of 82 Ideal(s), left 90 Ideal(s), nilpotent 91 Ideal(s), prime 84 Ideal(s), principal 81 Ideal(s), quotient of 82 Ideal(s), right 90 Ideal(s), two-sided 91 Ideal(s), zero 81 91 Ideas, Platonic 410 Identity 166 168 185 Image, chemico-algebraical 119 Implication 62—63 Impressions, sense 271 Included in 76 Inclusion, improper 78 Inclusion, proper 78 Incommensurable 311 Incompressibility 315 Incompressible 316—317 331 Increment 323 Indestructibility 315 Indestructible 316—317 331 Indeterminacy 391 Indeterminate(s) 85 116 INDEX 172 Inequality 193 Inequality, triangular 159 Inertia 284 Infinite descent 232 Infinite, Cantor's mathematical 393 403 Infinite, mathematical 311 397—398 Infinite, mathematical, theory of 399 Infinite, the 393—394 409—410 Infinitesimals 408 infinity 43—44 303—304 337—339 351 393—394 396 Infinity of dimensions 43 138 Infinity, continuous 301 Infinity, countable 43 Infinity, denumerable 48—49 64 Infinity, non-denumerable 48 64 355 401 404 Infinity, uncountable 43 401 406 Inkeri, K. xv 244 Inquisition 399 Inseparable 88 Insurance, life 378 Integers 33 236 Integers, Algebraic 240—242 Integers, discrete 234 Integers, gaussian 243—244 Integers, positive rational 398—401 Integers, rational 240—242 245 Integral domain 72 Integral equations 355—356 Integral(s), definite 336 340 346 349 Integral(s), improper 335 Integral(s), indefinite 336 integrating 329 Integration(s) 317 335 356 371 387—388 394 Intelligence testing 122 381 Intelligentsia 279 Intersection 77 84 98—99 273 Intuition, geometrical 137 Intuition, space-time 136 Intuition, spacial 134—135 Invariance 2 96 101 115—117 208 Invariance in nature 117—119 Invariance in theology 117 Invariant subalgebras 90—91 Invariants 94 143 145 171 211 213—214 253 354 Invariants, absolute 97 117 Invariants, relative 97 Invariants, theory of 141 Inverse 112 145 167—168 177 356 Irrationals 397 405 Irreducible 87 Irreversibility 389 Irrotational 333 Isomorphic, multiply 171 Isomorphic, simply 170 Isomorphism 73 170 Isomorphism, multiple 170—171 Jacobi, C.G.J. xiv 5 348 James, W. xvi 206 Japan 257 Jeans, J.H. xvi 21 Jine 126 Joint 126 Jordan, C. xvi 54 165 187 Kant, I. xvi 15 19 139 269 Kapferer, H. xvi 239 Kasner, E. xvi 155 395 Keats, J. xvi 296 Kepler's laws 280 282—283 286 288 Kepler, J. xvi 214 279—283 296 Kinematics 251 Kirchhoff, G.R. xvi 155 Kirkman, T.P. xvi 155 Klein, F. xvi 19 54 141—145 164 167 185 197 Knots 154 Koenigsberg 150—151 Kronecker, L. xvi 10 32 54 72 222 408—410 415 Kuerschak, J. xvi 160 Kummer, E.E. xvi 93 222 239 242—243 Kusmin, R. xvi 245 L.C.M. ("least" common multiple) 76 79—81 L.C.M. ("least" common multiple) for ideals 83 Lagrange, J.L. xvi 2 14 97 116 196 236 292 333 Landau, E. xvi 235 Language, geometrical 132 Laplace, P.S. xvi 115 221 292 329 333 375—376 Last Theorem by Fermat 152 230 237 239 242 Last Theorem by Poincare 152 Latitude 194 256 289 Lattice theory, by G. Birkhoff 187 Lattices 55 75—80 99 Lattices, theory of 187 Lavoisier, A.L. xvi 118 Law(s) 63 Law(s) of excluded middle 24 Law(s), absorption 60 99 Law(s), associative 166 Law(s), Boyle's 130 Law(s), commutative 166 Law(s), contradiction 24 60 Law(s), Kepler's 280 283 286 288 Law(s), motion 284 288 Law(s), Newtonian 267 292—294 309 336 Law(s), Newtonian of attraction 348 Law(s), statistical 305 Laws of Thought, by Boole 56 407 Least action, principle of 346—349 Lebesgue, H. xvi 356 388 Lehmer, D.H. xvi 229—231 239 Lehmer, D.N. xvi 229 Lehmer, E. xvi 239 Leibniz, G.W. xvi 11 56 248—249 284 307 321 334—335 398 Leverrier, U.J.J. xvi 216—217 295—296 Levi-Civita, T. xvi 210 214—215 372 Lie, M.S. xvi 89 165 183 Light 127 150 212 217 290 329 344—345 350—351 362 Light, elastic-solid theory of 266 Light, electromagnetic theory of 357 Light, velocity of 116 207 251 255 372—373 LIMIT 322—325 337 376 394 Limit, lower 339—340 Limit, upper, A. 339—340 LINCOLN, A. 21 Lindemann, C.L.F. xvi 238 245 408 Line(s) of force 357 370—371 Line(s), pair of intersecting straight 273 Line(s), straight 262—263 273 Line(s), tangent 320 343 Linear 143 Linear algebra see "Algebra" Liouville, J. xvi 1 244 Littlewood, J.E. xvi 235 Lobachewsky, N.I. xvi 38—40 42—43 54 Locus of points 148 Logarithms 234 280 Logic 11 19 56 302 306—307 389 410—411 Logic, Aristotelian 11 24 410—411 Logic, classical 306 412 Logic, common 27 Logic, foundations of 415 Logic, mathematical 164 Logic, modern 151 407 Logic, symbolic 32 57 101 264 321 Logic, three-valued 64 Logic, two-valued 63 250 Logistica 220 London, great fire of 399 longitude 194 256 LORAN 256 Lord Kelvin (W. Thomson) xvi 121 127 Lord Rayleigh xviii 357 Lucas, E. xvii 229—230 Lucasiewicz, J. xvii 64 Mach, E. xvii 139 Machine(s) 336 Machine(s), analogue computers 251 Machine(s), calculating 3—5 63—64 113 157 230—231 235—245n. 247—251 293 335 360 369 Machine(s), differential analysers 251 Machine(s), planimeters 251 Machine(s), slide rules 251 Machine(s), thinking 4 Machine(s), tide predictors 251 Magnetism 345 357 370 Magnitude 51 Manchester 229 Manifold(s) 141—142 147 347 350 Manifold(s) of n dimensions 141 196—197 Manifold(s), 1-dimensional 385 Manifold(s), 2-dimensional 385 Manifold(s), 2n-dimensional 385 Manifold(s), 8-dirnensional 350 Manifold(s), continuous 197 201 Manifold(s), discrete 197 Manifold(s), equal 198 Manifold(s), Euclidean 198—199 Manifold(s), Riemann's 142 202—203 214 Manuscript, Lucas's 230 Map problem 151 Mapping, conformal 353 Mapping, homomorphic 174 Marconi, G. xvii 369 marks 29 38 46 Marx, K. xvii 302 Mass, Earth 288 Mass, Moon 288 Mass, Sun 288 Massachusetts Institute of Technology 256 Materialists 269 Materialization 266 268
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