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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
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
1 2 3 4 5 6
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