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Bell E.T. — The Development of Mathematics
Bell E.T. — The Development of Mathematics



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Название: The Development of Mathematics

Автор: Bell E.T.

Аннотация:

Filled with compelling insights of special interest to every mathematician, engineer and scientist, this time-honored study by one of the 20th century’s foremost scholars and interpreters of the history and meaning of mathematics, surveys the roled played by mathematics in the evolution of civilization. It describes clearly the main principles, methods and theories of mathematics that have survived from about 4000 BC to 1945


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1945

Количество страниц: 637

Добавлена в каталог: 16.04.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Superfield      255
Supernaturalism      189
Superposition, principle of      517 531
surface      140 463 513
Surface, closed      460
Surface, connected      486 505 607n.
Surface, cubic      322—323
Surface, Kummer's      346
Surface, quartic      346 507
Surface, Riemann      460 499—502 504—506 509
Surface, triply orthogonal      356
Surface, wave      346
Sutherland, H.G., (1882-)      25
Swift, J., (1667-1745)      286
Syllogism      295 555
Sylow, L., (1832-1918)      240 423 445
Sylvester, J.J., (1814-1897)      196 313 428 431 438 605n.
Symbolic logic and its applications by MacColl      557
Symbolism, algebraic      18 100
Symbolism, development of      122—130
Symbolism, logical      558
Symbolism, operational      96 97
Symbolism, Peano's      333—334
Symmetry      193
Syntax, logical      568
System der analytische Geometric by Pluecker      346
System of logistic by Quine      572
System, conservation      374
System, coordinates      343
System, differential equations      415—418
System, dynamical      372 374 375
System, modular      227 246 259
System, non-conservative      375
System, simultaneous      34
Systematische Entwickelung der Abhaengigkeit geometrischer Gestalten von einander by Steiner      347
Syzygy      427—428
Tables, arithmetical      31
Tables, logarithmic      58 162
Tables, numerical      38
Tables, trigonometric      102—103 121
Tables, truth-      556
Tait, P.G., (1831-1901)      201 205 206 207 208 455 598n.
Takagi, T.      599n.
Tangent, double      346
Tartaglia, N., (1500-1557)      117 118
Tauber, A., (1866-)      315
Tauberian theorem      314
Taurinus, F.A., (1794-1874)      329
Tautochrone      166 402 524—525
Tautology      568
Taylor's theorem      285 289
Taylor, B., (1685-1731)      285 364 406 516 602n.
Tchebycheff, P., (1821-1894)      314 583 602n.
Tensor, algebra      204 209
Tensor, analysis      357
Tensor, calculus      200 210 259 358 359 360 414 523
Tensor, Riemann — Christoffel      210 422
Tentamen, etc. by W. Bolyai      329
Terminology, uniform      124
Test, Cauchy's ratio      291
Testing, intelligence      585 588
Tests, for convergence      475
Tests, intelligence      588
Tetens, J.N., (1738-1807)      601n.
Thales, (6th cent, b.c.)      40 55 56 61 70 82
Theaetetus, (4th cent, b.c.)      71 596n.
Theorem(s)      see also "Fundamental theorem"
Theorem(s), Abel's      315 414 501—502
Theorem(s), addition      266 534
Theorem(s), addition, algebraic      534
Theorem(s), basis      429
Theorem(s), basis, Hilbert's      227—228
Theorem(s), binomial      284
Theorem(s), Cauchy's integral      487
Theorem(s), chain      256
Theorem(s), de Moivre's      176
Theorem(s), decomposition      260 261
Theorem(s), existence      40
Theorem(s), existence, differential equations      411
Theorem(s), Fermat's      157 230 309 311
Theorem(s), Fermat's last      157 221 223 229 230 315 597n.
Theorem(s), fixed-point      459
Theorem(s), Green's      389 498
Theorem(s), Heine — Borel      484
Theorem(s), Jordan — Hoelder      236 260 261 264
Theorem(s), Liouville's      494
Theorem(s), Maclaurin's      285
Theorem(s), Picard's      508
Theorem(s), primes, ideal      316
Theorem(s), primes, number      314 316
Theorem(s), Pythagorean      9 40—41 69 140 359
Theorem(s), Stokes'      390
Theorem(s), Sturm's      524
Theorem(s), Tauberian      314
Theorem(s), Taylor's      285 289
Theorem(s), Thue, A.      308 311
Theorie analytique des probabilites by Laplace      583
Theorie by Fourier      293
Theorie der algebraischen Curven by Pluecker      346
Theorie des fonctions analytiques by Lagrange      289
Theorie des nombres by Legendre      303 334
Theory (theories) of finite groups      218
Theory (theories), binary quadratic class number      319
Theory (theories), class      539
Theory (theories), Copernican      111
Theory (theories), Dedekind — Weber      514
Theory (theories), differential equations, Lie's      435—438
Theory (theories), differential equations, structural      437—439
Theory (theories), dimensionality      543
Theory (theories), elastic-solid of light      521
Theory (theories), electromagnetism      450
Theory (theories), evolution, mathematical      592
Theory (theories), Galois      212 214 218 229—231 238 240 246 255 305 321 399 401 423 429 431 437 466 579 599n. 608n.
Theory (theories), group      545
Theory (theories), heat      165
Theory (theories), hereditary phenomena      536
Theory (theories), integration      481—483 543
Theory (theories), kinetic of gases      586
Theory (theories), limits      289
Theory (theories), lunar      416 537
Theory (theories), modern inequality      314
Theory (theories), perturbations      165
Theory (theories), phlogiston of heat      54
Theory (theories), Platonic of mathematical truth      54
Theory (theories), point sets      466
Theory (theories), potential      111 165 361 365 371
Theory (theories), primes      415
Theory (theories), probability      21 134 154—156 262 407 535 549 557 574 582—584
Theory (theories), proof      570 575 576
Theory (theories), quantum      205 262 268 305 432 451 528 529 531 574 582
Theory (theories), reciprocals      439
Theory (theories), relativistic of gravitation      210
Theory (theories), representation      261
Theory (theories), Sturm — Liouville      528
Theory (theories), transformation      357 398
Theory (theories), trees (Cayley's)      456
Thermodynamics      22
Thermopylae      52
Thomas, J.M., (1898-)      438 604n.
Thomas, T.Y., (1899-)      450 606n.
Thomson, W.      see "Kelvin Lord"
Three bodies, problem of      165—166
Throws      349
Thue, A., theorem, (1863-1922)      308 311
Tides      164
Timaeus by Plato      50
Time      163 195 564
Time, least      144 366 373
Todhunter, I., (1820-1884)      610n.
Tolman, R.C., (1881-)      374 610n.
Tonelli, L., (1885-)      536
topology      168 253 324 326 453—468 499 550 592—594
Topology, abstract      461
Topology, analytic      458
Topology, combinatorial      458
Torquemada, (1420-1498)      111
Torsion      521
Tractatus logico-philosophicus by Wittgenstein      568
Tractrix      328—329
Traite d'analyse by Picard      241
Traite de dynamique by d'Alembert      371
Traite des fonctions elliptiques et des integrales euleriennes by Legendre      394
Traite des proprietes projectives des figures by Poncelet      337 339
Traite des substitutions et des equations algebriques by Jordan      239
Traite du calcul differentiel et du calcul integral by Lacroix      472
Transcendental, adjunction      255
Transcendental, functions, entire      494—495
Transcendental, number      78 275 276
Transcendental, proof      279
Transcendental, solution      232
Transformation      450 463
Transformation, bicontinuous      454
Transformation, birational      326 338 342 347 504 514—515
Transformation, biuniform      454
Transformation, contact      375
Transformation, Cremona      326 504 505 515
Transformation, functional      360
Transformation, geometric      342
Transformation, homeomorphic      454
Transformation, infinitesimal      435—436
Transformation, linear      120 205 398 528
Transformation, quadratic      347
Transformation, theory      357 398
Transforms, Laplace's      584
Transitivity      193
Translation, Apollonius      114
Translation, Euclid      88 114
Translation, group      507
Treatise on electricity and magnetism by Maxwell      206
Treatise on fluxions by Simpson      284
Treatise on natural philosophy by Thomson and Tait      206
Trees, Cayley's theory of      456
Triangles in perspective      158
Triangles, differential      145
Triangles, modern geometry of      320—321
Triangles, similar      42 61 335
Triangular inequality      542
Triangulis, De, by Regiomontanus      122
Trigonometry      20 58 59 121—122
Trigonometry, analytic      176-177 288
Trigonometry, applied to geometry      121
Trigonometry, Hindu      101—106
Trigonometry, modern      27
Trigonometry, Moslem      101—106
Trigonometry, non-Euclidean      328—329
Trigonometry, spherical      105 592
Trigonometry, tables      102—103 121
Tripartite infinity of theology      54
Trisection      77—79 80
Trivium      60
Tropfke, J., (d. 1939)      595n. 596n. 597n.
Truth      554
Truth, absolute      362 547
Truth, eternal      19
Truth, ideal      547
Truth, two-valued      565
Truth-systems, m-valued      573
Truth-tables      556
Truth-value      556 571
Truth-value, indeterminate      557
Tschirnhaus, E.W., (1651-1708)      see "Tschirnhausen E.W."
Tschirnhausen, E.W. (or Tschirnhaus), (1651-1708)      232 237
Tucker, R., (1832-1905)      323
Turbulence      587
Turin Academy      366
Types, doctrine of      561—562 571—572
Ueber die Hypothesen welche der Geometrie zu Grunde liegen by Riemann      359
Ulam, S.      483
Uncertainty principle      587
Uniformization      506
Union, postulates of      257 259 264
UNITS      220 222
Units, algebraic      223 299 307
Units, fundamental      246 249
Units, Hermitian      307—308
Units, hypercomplex      203
Unity      79 555
Unity, roots of      232
Universe      262
University, Berlin      378 492
University, Cambridge      108 146 160
University, Chicago      379
University, Naples      108
University, Oxford      108
University, Padua      108
University, Paris      108
University, Warsaw      580
Unknowns      126
Urysohn, P., (1898-1924)      609n.
VACUUM      262
Valuations      246
Value, absolute      253 542
Value, asymptotic mean      319
van de Waerden, B.L.      514
Van der Pol, B.      415
Vandermonde, A.T., (1735-1796)      426 599n.
Variable      141 272 283 562
Variable, function of real      470—485
Variable, general      540
Variable, generalized      381
Variable, multipartite      539
Variable, n-      432
Variable, separation of      402
Variation, calculus of      361 371—373 377—381 418 516 519—520 529 530 534 535 539 590
Variation, continuous      141
Variational principles      370—376
Veblen, O., (1880-)      263 335 450 451 462 605n. 606n.
Vectors      200 542
Vectors, addition      203
Vectors, algebra      168 187 206—207
Vectors, analysis      204 207 208 209
Vectors, convergence      207
Vectors, coplanor      199
Vectors, divergence      207
Vectors, function      204
Vectors, lattice      262
Velocity      163 164
Veronese, G., (1857-1917)      323 333
Versailles      166
Versuch ueber Pflanzenhybriden by Mendel      589
Vessiot, E.(P.J.), (1865-)      436
Viennese School      79
Vieta, F., (1540-1603)      107 119—122 129 141 174 232 342
Vinci, Leonardo da, (1452-1519)      111 596n.
Vinogradov, I.M.      315—316 318
Virgil, (70-19 b.c.)      602n.
Volterra, V., (1860-1940)      470 525—527 529—539 534—537 544 609n.
Volume      463
von Dyck, W., (1856-1934)      599n.
von Koch, H., (1870-1924)      537
von Mises, R., (1883-)      593
von Neumann, J., (1903-)      555 587 609n.
von Seidel, P.L., (1821-1896)      292
Vorlesungen ueber die Algebra der Logik by Schroeder      558
Vorlesungen ueber Zaklentheorie, by Dirichlet, Eleventh supplement and Dedekind      215
Vortex atoms      455
Vortsudien zur Topologie by Listing      455
Walker, Helen M., (1891-)      610n.
Wallis, J., (1616-1703)      129 177 298 406 475
Wantzel, P.L., (1814-1848)      77 234
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