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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.
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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
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Предметный указатель
Produc, scalar 105
PRODUCT 172
Progression, arithmetic 234
Projection 98 100
Projection central 149
Proof(s), existence 410
Proof(s), Hilbert's theory of 413—414
Proper 68
Property, group 143
Property, metric 100
Property, projective 100
Propositions 61 321 413
Ptolemy xviii 277 281
Pure mathematics see "Mathematics"
Pythagoras xviii 7 27 184 188—191 301
Pythagoreans 233
Pythagoreans, modern 301
Quadrants 125
Quadratic, imaginary 244
Quantifiers 66
quantum mechanics 117 181 391
Quantum theory 92 116 175 181 209 257 262 265 280 306 357 388 391 399
Quantum, modern 128
Quartics 117
Quaternion(s) 92—93 159
Quaternion(s), real 92
Radar 256—257
Radar beacons 256
Radar screen 256
Radian 365—366
Radiation 319
Radiation Laboratory 256
Radical 91
Radio 255 369
Radio pulses 256
Radom 380
Rate(s) 284 307 316 334 343 356
Rate(s), continuously varying 308
Rate(s), inverse problem of 334
ratio 46
Rays, cosmic 116
Reaction, chemical 387
reality 258 270—271 306
Reality, objective 140
Realm of ideas 126
Reasoning, deductive 264 271
Rectangles 337—340
Rectangles, measurement of 261—262
Recurrence, eternal 389
Reducible 87
Reductio ad absurdum 24
Reflection 344
Reflective 66
Reflexivity 69
Refraction 344
Refraction, conical 350 358
Refraction, double 351
Reichenbach, H. xviii 64
Relation(s) 69 321
Relation(s), binary 78
Relation(s), equivalence 105
Relativity 44 117 141 200 205 262 265 280 290 306 345 348
Relativity, general 104 116 202 210 213 215 217 254 372
Relativity, Special Theory of 116 208 210 213 357
Retrogression of nodes 290
Reversibility 388—389
Revolution, Cartesian 132
Revolution, Copernican 278
Ricci, M.M.G. xviii 210 215 372
Riemann, G.F.B. xviii 1 40 142 191 194 204 210 314 351
Rigor 253
Ring 55 67 173
Ring, quotient 84
Robertson, H.P. xviii 214
Root(s) 88 240
Root(s), multiple 88
Rosser, J.B. xviii 238
Russell, B. xviii 17—19 57 164 269 377 402 403 407 412
Sample, random 380 383
Sanford, V. xviii 237
Scalars 105
Scale, binary 248
Scale, denary 248
Schopenhauer, A. xviii 264
Sciences, biological 381
Sciences, physical 287 390
Sciences, predictions in 261—270 289 293 349—351
Section, conic 273 277
Segment, line 405
Selberg, A. xviii 234
Self-conjugate 171
Sense 271
Separable 88 186
Series of composition 187
Series, convergent 396—397
Series, convergent infinite 352
Series, divergent 396—397
Series, power 352
Series, well-ordered 404
Set 29 38 402
Set of points 406
Set, closed 156
Set, complex 171
Set, discret 305—306
Set, infinite 11
Set, open 156
Set, well-ordered 406
Sextuple 346
SIMPLE 91
Simple, semi- 91
sin 364
Sine 362 364—368
Sirius 217
Skew field 88
Slichter, C.S. xviii 400
slope 320
Smith, D.E. xviii 310
Smith, H.J.S. xviii 237
Solar system 216 259 267 277—278 284 289 308
Solids, regular 184
Sound 119 329 361—362
Space 122—123 126 138 305 348 401—402
Space, 6n dimensions 346
Space, abstract 140 156 158 198
Space, Banach 162
Space, configuration 347
Space, curved 194 348 371
Space, Euclidean 184 193—194 350
Space, existent 140
Space, flat 194 213
Space, four-dimensional 138 147
Space, infinity of dimensions 145
Space, many-dimensional 142
Space, n-dimensional 145 193
Space, phase 385—387
Space, polydimensional 145
Space, solid 125 142
Space, three-dimensional 43 125
Space, two-dimensional 125
Space-time 117 208 266
Space-time coordinates 207
Space-time interval 205—207
Space-time intuition 136
Spain 294
Spectra 181
Speed see "Velocity"
Sphere 41
Spheroid, oblate 289
Square, inverse 285
Stars, binary 214
State, steady 318
Stationary 343
stationary principle 345
Statistics 115 379
Statistics and mechanic 383—389
Statistics, classical 390
Statistics, mathematical 113 380—382
Straightedge 300
Streamlines 315
Strings, vibrating 361
Structure(s) 45 55 75
Structure(s), algebra of 91
Structure(s), atomic 287 305
Struik, Dirk, J. 94n.
Sturm, J.C.F. xviii 1
Subalgebra 91
Subalgebra, invariant 90—91
Subfield(s) 55 80 84—88
Subgroup(s) 168 171 186—187
Subgroup(s), conjugate 173
Subgroup(s), invariant 173
Subgroup(s), normal 171 173 180
Subrings 80
Substitution 175—176 180
Subtraction 31
Subvarieties 55
Sum(s), limiting 334 346
Sum(s), unending 396
Sumeria 365
Sumerians 189
Summation convention 104 110
Sun, the 216—217 280 288—289
Sunspots 360 369
Superfield, algebraic 88
surveying 362
Surveying, geodetic 383
Sylow, L. xviii 165
Sylvester, J.J. xviii 1 48 97 119—120 181 233 258
symmetric 66
Symmetry 69
System(s), coordinate 124
System(s), real number 48 299 303 311—312 407
System(s), reference 124
System(s), solar 267 277 284 287 289
System(s), solar, Copernican 277—278
System(s), solar, Ptolemaic 278
Syzygies 120
Tables, factor 229
Tables, mortality 336
Tables, tide 336
Tangent(s) 321 395
Tarski, A. xviii 57 64
Tautology 63 65
Telescope, camera-, Hale 217
Telescope, camera-, Schmidt 216
Television 255
Temperature 318 327
Temperature, constant 319
Tensor 215
tetrahedron 184
Thales xviii 27 262
Theologians 279
Theology 292
Theorem(s) of groups 168
Theorem(s), binomial 9 85
Theorem(s), Cayley's 110
Theorem(s), decomposition 76 91
Theorem(s), Euclid's, on primes 9
Theorem(s), existence 10 246
Theorem(s), Fermat's 232
Theorem(s), Fermat's, lesser 248
Theorem(s), Fourier's 362 367—368
Theorem(s), Galois' 184
Theorem(s), Jordan — Hoelder 187
Theorem(s), prime number 234—235
Theorem(s), Pythagorean 188 190 193 264
Theorem(s), Vinogradov's 235
Theory (Theories) of assemblages 406
Theory (Theories) of errors 383
Theory (Theories) of evolution 290
Theory (Theories) of games 355
Theory (Theories) of mathematical probability 375 378
Theory (Theories) of numbers 9 92 116
Theory (theories), Copernican 382
Theory (Theories), field 302
Theory (theories), Galois 75 185 237
Theory (Theories), heliocentric 279
Theory (Theories), kinetic 268
Theory (Theories), phlogiston 266
Theory (Theories), Ptolemaic 278
Thermodynamics 387 389
Three, bodies 267
Three, problem of 157 247 290 292 336
Tide tables 336
Tides 288
Tides, lunar 288
Tides, neap 288
Tides, solar 288
Tides, spring 288
Time 136 305 313 322—326
Time, periodic 354
times 30
Tombstone, Archimedes' 227
Tombstone, Gauss's 227
topology 100 133 144 149 151 251 322 352
Topology, analytic 157
Topology, combinatorial 151 155 157
Topology, definitions of 151 157
Torpedoes, aerial 373
Tradition 279
Train of waves 365
Train, silk 41n.
Transcendental 245 408
Transformations 142 213
Transformations, algebraic 96
Transformations, group of 141
Transformations, homomorphic 157
Transformations, linear 96 102 115 150 354
Transformations, linear, homogeneous 116 120
Transitivity 69
Transposition 179
Triangles 149 226
Trigonometry 362
Trigonometry, spherical 122
TRUE 27—28 61
Truth values 64
Truth, external 391
Truth, external, mathematical 21
Truth-systems, n-valued 64
Tuning fork 361
Uhler, H.S. xviii 231
Uncertainty 391
uniform 313
union 77
Union of ideals 91
Unit(s) 68
Unit(s), quaternion 114
United Nations 117
Unity 68
Universe 99 283
Universe, external 270
Universe, mechanical theory of 309
Universe, periodic 389
Universe, sidereal 267
Uranus (planet) 295
Uranus (planet), motion of 294
Vaccination, smallpox 381
VACUUM 99
Vacuum, velocity of light in 207
Valence, chemical 120
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