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Bell E.T. — Mathematics: Queen and Servant of Science
Bell E.T. — Mathematics: Queen and Servant of Science



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Название: Mathematics: Queen and Servant of Science

Автор: 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: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1996

Количество страниц: 437

Добавлена в каталог: 16.04.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
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), $m\times n$      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($\pi$)      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
1 2 3 4 5 6
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