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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
"Nothing, " Berkeley's      286
$\pi$      40 46 78 275
$\sqrt{2}$      38
abacus      51 88 89 114
Abel, N.H., (1802-1829)      78 197—198 214 232 234 237 238 242—244 394 396 408 409 438 474 475 477—479 498 499 501 502 510 524 525 574 603n.
Abel, N.H., power series      315 414 501 502
Abel, N.H., theorem      315 414 501 502
Abelard, P., (1079-1142)      92 108
Absolute, Cayley      331
Absolute, geometric      351—353
Absolutism, mathematical      336
Absorption      262
Abstraction      260 261
Abstractionists      463
Abstractness      8—9 18 169 215 217 230 253 259
Abul-Wefa, (10th cent.)      103
Academy, Berlin      133
Academy, French      133
Academy, Royal Danish      177
Academy, Royal Irish      179
Academy, Turin      366
Acceleration      163 164
Action, least      365
Actuarial science      588
Adams, Henry, (1838-1918)      91
Addition      71 172 173 214 555
Addition, associative      542
Addition, formulas      58—59
Addition, logical      554—556
Addition, theorem      266 534
Addition, theorem, algebraic      534
Addition, vector      203
Adelard, (11th cent, a.d.)      86 88
Adjunction, algebraic      255
Adjunction, transcendental      255
Aggregate      273
Agriculture      590
Ahmes, (c. 1800 b.c.)      33 34 127
Al-Battani, (d. 929 a.d.)      103
Albert, A.A., (1905-)      591—592 599n.
Alcuin, (735-804)      86 88
Alembert's principle      371
Alembert, J. le R. d', (1717-1783)      178 283 393 404 472 473 497 517 602n.
Alexander, J.W., (1888-)      456 462 606n.
Alexandrian school, first      57
Alexandrian School, Second      58
Alexandroff, P., (1896-)      606n.
Algebra by Al-Khowarizmi      100
Algebra by Weber      240 241
Algebra of quantics      431
Algebra, abstract      22 168 228 231 259 308 330 401 432 453 466 502 550 555
Algebra, applied      209
Algebra, arithmetical      187
Algebra, associative      202 203 204 211 231
Algebra, Babylonian      35—39 125 272
Algebra, boolean      11 202 235 256 259—265 542 550 555 579
Algebra, Cayley      268
Algebra, classes      578
Algebra, common      212 213 555
Algebra, commutator      432
Algebra, division      251 252
Algebra, double      179
Algebra, Egyptian      39
Algebra, elementary      168
Algebra, fundamental theorem of      120 178 494
Algebra, general      208
Algebra, geometrical      211
Algebra, Hindu      94—106
Algebra, lattice      262
Algebra, linear      212 221 231 246 249—253 260
Algebra, matric      252
Algebra, modern      182 222 224 231 298 346 555 578
Algebra, Moslem      97—99 100—101 125
Algebra, multiple      180 208
Algebra, n-fold      539
Algebra, rhetorical      18 99 123
Algebra, sub      265
Algebra, symbolic      123
Algebra, syncopated      123
Algebra, tensor      204 209
Algebra, vector      168 187 206—207
Algebraic surfaces by Zariski      514
Algorithm, logical      554
Almagest by Ptolemy      82 102
Americal Journal of Mathematics      428
Amount      127
Ampere, A.M., (1775-1836)      112 606n.
Analysis situs by Poincare      459
Analysis, abstract      248 253 254 518 533—534
Analysis, arithmetization of      273—278 295
Analysis, asymptotic      318
Analysis, Cartesian      339
Analysis, classical      552
Analysis, combinatorial      20—21 134 242 290 405 407 544
Analysis, consistency of      567—575
Analysis, diophantine      68 187 298—301 302 535
Analysis, essential      312 313 314
Analysis, foundations of      280 571
Analysis, Fourier      509 517
Analysis, functional      524—528 533—537
Analysis, fundamental theorem of      485
Analysis, general      254 381 418 533 534 538—542
Analysis, harmonic      587
Analysis, inessential      312
Analysis, logical      546
Analysis, mathematical      18 39 41 219 286 565
Analysis, modern      298
Analysis, postulational      334—335
Analysis, situs      453 499 see
Analysis, submathematical      90—92 275 485 548 563 573
Analysis, tensor      357
Analysis, vector      204 207 208 209
Analysis, Weierstrassian      294
Analyst by Berkeley      286 287
Analytische-geometrische Entwickelungen by Pluecker      342 345
Anaximander, (6th cent.b.c.)      90
AND      556
angle      77—80 349
Angle, acute, hypothesis of      327—329
Angle, obtuse, hypothesis of      327—329 331
Angle, projective      352
Anharmonic ratio      59
Annihilator      431
Anthropometry      589
Antichrist      161
Antiphon, (c. 430 b.c.)      595-n.
Apercu historique sur l'origine et le developpement des methodes en geometrie by Chasles      340
Apollonius, (260?-200? b.c.)      19 57 80—83 114 136 159 248 340 347 351 595n.
Apollonius, translation of      114
Applications de geometrie et de mechanique by Dupin      355
Applications du calcul infinitesimal a la geometrie by Cauchy      292
Applied, algebra      209
Applied, mathematics, modern      160—166
Aquinas, Thomas, (1226-1274)      86 92 137 165 275
Arbogast, L.F.A., (1759-1803)      413
Archibald, R.C., (1875-)      595n.
Archimedes, (287?-212 b.c.)      44 45 46 51 52 55 57 58 74—76 80 84 134 148 154 267 304 305 364 397 480 546
Archimedes, axiom of      76 81 285 335 595n.
Area      463
Argand diagram      184 206 315 486
Argand, J.R., (1768-1822)      177 184 206
Argument      237
Aristarchus, (3d cent.b.c.)      111 595n.
Aristotle, (384-322 b.c.)      54 90 92 163 553 574 596n.
Arithmetic      167 193
Arithmetic, additive      296
Arithmetic, algebraic      187
Arithmetic, analytic      307 311—319
Arithmetic, commercial      114
Arithmetic, consistency of      266 553 575—577
Arithmetic, foundations of      558
Arithmetic, fundamental theorem      49 218 221—224 256
Arithmetic, general      254
Arithmetic, generalized      231
Arithmetic, Higher      135 218 254 499 503
Arithmetic, modern      156—158
Arithmetic, multiplicative      296
Arithmetic, original      559
Arithmetic, postulates      183 266—267
Arithmetic, rational      213—214 220 221 224 296 302
Arithmetica      49
Aronhold, S.H., (1819-1884)      428 429 431
Ars Magna by Cardan      111 117 118 173
Arte combinatoria, De, by Leibniz      553
Artin, E., (1898-)      230 599n.
Aryabhatta, (6th cent.)      95 96 128
Assemblage      273
Associative law      203—204
Astrology      26
Astronomy      58 59
Astronomy, dynamical      164 362 585
Athens, school      56
Atomism      44
Atoms, vortex      455
Attraction, gravitational      164
Attraction, inverse-square law of      162
Ausdehnungslehre by Grassman      203 208
Autobiographia by Ramon y Cajal      24
Automorph      301
Aviation      533
Axes, principal      537
Axiom, Archimedes'      76 81 285 335 595n.
Axiom, Infinity      563
Axiom, reducibility      562—563 571—572
Axiom, trivial      264
Axiom, Zermelo's      484 485
Axiomatics      263
Babylon      601n.
Babylonians      174
Bachet's Diophantus      156
Bacon, Roger, (1214-1294)      91 596n.
Baire, R., (1874-1932)      423 472 484
Baker, H.F., (1866-)      608n.
Ball, W.W.R., (1850-1925)      595n.
Ballistics      22 117 365
Banach, S., (1892-)      253 262 542 580
Barnard, R.W., (1890-)      609n.
Barrow, I., (1630-1677)      145 146
Barycentric calculus      200 345
Barycentrische Calcut, Der, by Moebius      200 345
Basis      227
Basis, finite      256
Basis, theorem      429
Basis, theorem, Hilbert's      227—228
Bateman, H., (1882-)      606n. 608n.
Bayes, T., (?-1761)      583 585 591
Bede, the Venerable, (c. 673-735)      86 87
Beitraege zur Geometric der Lage by von Staudt      348
Beltrami, E., (1835-1900)      328 332
Bemerkungen zu Grundlagenfragen IV by Menger      262
Benzene ring      431
Bergson, H., (1859-)      84
Berkeley's "nothing"      286
Berkeley, G., (1685-1753)      286—287
Berlin Academy      133
Bernays, P., (1888-)      575 576
Bernoulli, Daniel, (1700-1782)      366 371 383 403 516—517 519 531 586
Bernoulli, James, (1654-1705)      373 374 377 380 383 392 402 407 473 475 516 519 583
Bernoulli, John, (1667-1748)      177 285 373 374 377 402 406 473 516—519 604n. 607n. 609n.
Bernoullis, the      153 383 403 472 473
Bernstein, B.A., (1881-)      555
Berwick, W.E.H., (1888-1944)      307
Besicovitch, A.S., (1891-)      608n.
Bessel's equations      384 404
Bessel, F.W., (1784-1846)      382 497 603n.
Bessel, F.W., coefficient      383 399
Bessel, F.W., functions      383—386 519 522 523
Betti's numbers      462 467
Betti, E., (1823-1892)      462
Bezout, E., (1730-1783)      196 426
Bhaskara, (12th cent.)      96—98 299
Bibliography of symbolic logic      550
Bicircular quartics      336 337
BINARY      193
Binet, J.P.M., (1786-1856)      426
Binomial coefficients      119
Binomial theorem      284
Biometry      590
Bionomics      537
Birkhoff, G., (1911-)      258 261 262 265
Birkhoff, G.D., (1884-)      408 416 417 459 462 587 600n. 602n. 606n.
Birth control      589
Bitangents      322
Black Death      109 113
Black, C.W.M.      513
Blichfeldt, H.F., (1874-)      242 602n.
Bliss, G.A., (1876-)      380 603n. 607n. 608n.
Bobillier, E., (1797-1832)      346
Boccaccio, (1313-1375)      109
Bocher, M., (1867-1918)      355 523
Boethius, (c. 475-554)      54 86 87 88—89 92
Bohr, H., (1887-)      509
Bohr, N., (1885-)      608n.
Bolyali, J., (1802-1860)      15 329 330 331 336 353
Bolyali, W., (1775-1856)      15 179 263 329
Bolza, O., (1857-)      379 380 603n.
Bolzano, N., (1781-1848)      154 273
Bombelli, R., (16th cent.)      118 174 476
Bonaparte, Napoleon, (1769-1821)      321 338 366—368 610n.
Boole, G., (1815-1864)      256 259—260 334 403 406 414 421 424 430 431 554—558 609n.
Boolean algebra      11 202 235 256 259—265 542 550 555 579
Borel, E., (1871-)      472 474 478 484 495 581 593 600n.
Boundary      454—455
Boundary-value problems      106 211 385 520 521 523—528 531 534
Bouquet, J.C., (1819-1895)      608n.
Brachistochrone      373 377
Bradwardine, Thomas, (1290-1349)      137
Brahe, Tycho, (1546-1601)      58 161 162
Brahmagupta, (7th cent.)      95 96 173 299
Branch      500—501
Branch, cut      225 277 279
Bravais, A., (1811-1863)      601n.
Brianchon, C.J., (1783-1864)      323 341
Briggs, H., (1561-1631)      162
Brill, A., (1842-1935)      509
Bring, E.S., (1736-1798)      232 237
Brioschi, F., (1824-1897)      428
Briot, A.A., (1817-1882)      608n.
Brisson, B., (1777-1828)      413
Brocard, H., (1845-1922)      323
Bromwich, T.J.I'A., (1875-1929)      414 415
Brouillon project by Desargues      158
Brouncker, Lord W., (1620-1684)      298 473 476
Brouwer, L.E.J., (1882-)      461 462 467 485 543 548 550 559 560 565—566 569—570 575
Bryson, (5th cent. b.c.)      595n.
Budan, F.D.      524
Burali-Forti's paradox      279 573
Burali-Forti, C., (1861-1931)      279 552 561 573
Burgi, J., (1552-1632)      162
Burkhardt, H., (1861-1914)      608n.
Burnside, W., (1852-1927)      239 445
Bussey, W., (1879-)      335
Caesar, Julius, (100-44 b.c.)      85 451
Cajori, F., (1859-1930)      100 595n. 596n. 597n. 598n.
Calcul des fonctions by Lagrange      289
Calculus of inference      555
Calculus of logic by Boole      554
Calculus of variation      361 371—373 377—381 418 516 519—520 529 530 534 535 539 540
Calculus, absolute differential      357 358
Calculus, barycentric      200 345
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