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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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Mathematical Gazette (London) 271 Mathematical journals 13 Mathematical notation 115 Mathematical recreations 150 155 Mathematics and sciences 259—261 320 Mathematics, foundations of 415 Mathematics, pure 19 Matrix (matrices) 2 102—115 258 Matrix (matrices), 106 Matrix (matrices), addition 110 Matrix (matrices), addition, associative 110 Matrix (matrices), equality 106 Matrix (matrices), inverse of 112 Matrix (matrices), multiplication of 103 Matrix (matrices), multiplication of, associative 110 Matrix (matrices), multiplication of, distributive 110 Matrix (matrices), negative of 109 Matrix (matrices), non-singular 112 Matrix (matrices), product of 103 Matrix (matrices), product, general 108 Matrix (matrices), scalar product 106 Matrix (Matrices), square 109 Matrix (matrices), sum 106 Matrix (matrices), theory of 14 Matrix (Matrices), unit 109 Matrix (matrices), zero 109 114 Matter 117 205 306—307 Maxima 342—343 Maximal 91 Maxwell, J. Clerk xvii 127 254—255 265 316 334 357 369—372 Measure(s) of angles 364 Measure(s), angular 363 Measurement 188 214 301 306 Measurement, earth 263 Measurement, metaphysics of 262 Measurement, statistical 261 Mechanics 136 182 325 345—346 350 356 383—384 Mechanics of atoms 44 Mechanics, analytical 14 16 36 43 272 Mechanics, celestial 291 308 Mechanics, classical 212 Mechanics, Newtonian 127 386 Mechanics, non-linear 3 Mechanics, ordinary 384 Mechanics, quantum 117 391 Mechanics, statistical 247 268 378—379 383—384 Mechanics, theoretical 307 Mechanism, binary 250 Menaechmus xvii 272 287 296 Mendelyeev, D.I. xvii 257 Menger, K. xvii 99 Mercury (Planet) 216 283 Mercury, oxidation of 118 Mersenne, M. xvii 224 227—228 231 233 235 Metaphysics of physics 139 Meteors 348 Method, postulational 20 261 401 407 414 Metric(s) 188 201 204 214 Michelson, A.A. xvii 371 Middle, excluded 410 Milky Way 267—268 Milton, J. xvii 278 Mind 4—5 Mind, Divine 21 26 Mind, Universal 269 299 Minima 342—345 Mirrors 344 Mirrors, parabolic 275—276 Missiles, guided 257 336 Mistake, Chinese 248 Modulus 69 Modulus of transformation 97 Moebius, A.F. xvii 133 151 Molecular Dynamics 127 Momentum 284 346 384 391 Moon 288—289 292 Moon, motion of 289—290 292 Moore, E.H. xvii 253 Morley, A. xvii 371 Moslems 95 278 Motion 136 211 298 306—307 325 346 Motion of Moon 289—290 292 Motion of Uranus 294 Motion, continuous 297—298 303 Motion, fluid 329—330 Motion, irrotational 333 Motion, laws of, three 284 Motion, Newton's laws of 212 308 327 Motion, wave 354 Multiple, common 79 Multiple, least 79 Multiplication 67 Multiplication of matrices 110 114 Multiplication, common 31 Multiplication, non-commutative 92 Multiplication, scalar 106 Multiplication, tables 164—171 175 177 Murphy, R. xvii 355—356 Museum, Kensington 250 Mussolini 382 Mythologists, Hindu 32 Mythology 271 Myths, Babylonian 389 n-tuple 197 Nappes 273 Nature 283 287 304 309—319 Nature, exploration of 211 258 Nature, periodicity in 360 Navigation 41 256 Navigation, aerial 257 Navigation, marine 257 Navigation, sea 256 Nebulae, spiral, recession of 217 Neighborhood(s) 156 199 Neptune (planet) 216 296 Newman, J.R. xvii 395 Newton's laws of cooling 319 Newton's laws of inverse square 285 292 294 309 Newton's laws of motion 212 284 288 308 327 346 Newton's laws of universal gravitation 284 286—293 308 329 Newton, I. xvii 6 11 14 204 211 221 226 247 249 266 283—294 296 305 307 316 320 334—335 343 346 370 397—398 Newtonians 408 Nietzsche 389 Nilpotent 89 91 Niven, I.M. xvii 246 No-nextness 298 301—302 nodes 290 Non-denumerable 48 64 Non-sense 271 Nonsense 269 271 280 409 Norm 244 Normal divisors 173 Note, musical 361 Nothing 249 Nuclear fission 309 Nuclear physics see "Physics" Number(s) 9 129 Number(s), additive theory of 246 Number(s), algebraic 54 80 222 239—240 300 Number(s), analytic theory of 222 234—235 Number(s), cardinal 402—404 Number(s), complex 45 50—54 72 102 159—160 240 243—244 Number(s), conceptual 299 Number(s), definition of 402 412 Number(s), discrete 101 235 Number(s), even perfect 233 Number(s), Fermat's 224—227 230 Number(s), fixed 245 Number(s), fractional 31 Number(s), hypercomplex 50 Number(s), ideal 222 243 Number(s), irrational 47 405 408 Number(s), manifold 197 Number(s), Mersenne's 227—231 Number(s), multiplicative theory of 231 Number(s), natural 223 Number(s), negative 31 47 124 Number(s), odd perfect 233 Number(s), ordered pair 125 Number(s), ordinal 403 415 Number(s), perfect 221 233 Number(s), positive 31 47 124 Number(s), prime 225 Number(s), rational 45—47 236 240 299 405 Number(s), real 45—47 50 52 196 240 243 299 302 321 396 404 411 Number(s), relation between 122 Number(s), same 398 Number(s), theory of 9 92 220 234 Number(s), transcendental 86 222 244 300 Number(s), transfinite 404 Number(s), variable 49 Number(s), whole 31 Observation 390 Occam, W. xvii 269 Octohedron 184 omega 404 One-one correspondence 398—400 Operation, inverse 145 Optics 92 343—345 349 Orbit(s), elliptical 286 Orbit(s), moon's 290 Orbit(s), planetary 216 277 293—294 308 Order 306 Order of group 168 Order, functions 235 Order, theory of 236 Ordinals 404 Ordinals, transfinite 403 Ore, O. xvii 76 Oxidation of mercury 118 Pairs 398 Palomar Observatory 216—218 parabola 274—275 Paradise Lost, by Milton 278 Paradox 403—404 411—412 Parallels, Euclid's 40 Parallels, Lobachewsky's 40 Part, proper 399 Partial, symbol 328 Particles 128 214 285 298 346—347 349 387 Particles, collision of 206 208 304 Particles, fluid 330 Particles, free, path of 212 Particles, motion of 384—385 Pasadena 229 Pascal's gears 247—248 Pascal, B. xvii 9 224 247—249 377—378 389 Path, mean free 304 Peacock, G. xvii 22 Peirce, B. xvii 19 Peirce, C.S. xvii 61 206 Pentagons 226 Perception, extrasensory 380 Perihelion of Mercury 283 Period 358—359 Period, fundamental 359 periodicity 354 359—360 Periodicity, analysis of 361 Periodicity, superimposed 360 Periphetes 217 Pershing, J.J. xvii 373 Perturbations 282 287 290 294 Perturbations, planetary 289 295 Phase 385 Phase, density 387 Phenomena, periodic 357 360 362 Philosophers, pre-Socratic 310 Philosophy, mathematical 312 Philosophy, mechanical 288 Physical science 272 Physical science, laws of 265 Physical universe 218 Physical universe, and mathematics 211 Physical universe, map of 195 249 Physics 36 93 325 356 391—392 Physics, atomic 128 257 Physics, mathematical 7 115 128 182 209 255 272 281 345 372 Physics, modern 1—2 9 97 116 196 202—204 215 301—302 307 Physics, nuclear 93 306 Physics, quantum 390 401 Physics, theoretical 7 129 Pi( 86 238 245 300 362 366 408—409 Pillai, S.S. xvii 246 Planck, M. xvii 401 Plane 147 Plane, location of point in 123—124 146 Plane, projective 149 Planets 277—280 282 286 288—289 Planets, orbits of 216 308 Plato xvii 47 140 269 276 389 Pluecker, J. xvii 142 146 148 plus 30 Poincare's last theorem 152 Poincare, H. xviii 152 157 252 354 Point 126 136 146—148 273 297—298 300—301 303 406 Point, defined 126 Point, Euclid's 126 129 Point-events 206—207 211 Polygon, regular 226 Polyhedrons 153 Polynomial 86 409 Polynomial, continuity of 87 Polynomial, irreducible 186 Positivists, logical 301 Post, E.L. xviii 64 Postulates 23 25 Postulates for a group 168 Postulates for algebra of logic 57—60 Postulates for algebra, common 31 45 Postulates of closure 31 Postulates of elementary geometry 262 Postulates of parallels 22 38—39 Postulates, definition of 22 Postulates, Euclid's 410 Postulates, independent 25 Postulates, Zermelo's 406 Power series 352 Precession of equinoxes 289 Pressure 327 Primality criterion 232 Prime(s) 9 231 233 242 Prime(s), Fermat's 226 239 Prime(s), Mersenne's 229 233 Prime(s), rational 241 Principle of duality 59 Principle of uncertainty 64 391 Principle, Fermat's least time 342 344 347 Principle, stationary 345 388 Principle, variational 394 Principle, Zipf's least effort 349 Prineipia, by Newton 285—286 292 probability 131 268 375 377 380—381 387 390 Probability, definition of 376 Probability, mathematical 304 Probability, mathematical theory of 375 Probability, sum of 387 Probability, theory of 377—378 Problem, Kepler's 308 Problem, Waring's 246 Produc, inner 108 113
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