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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
Moore, E.H., (1862-1832)      217 242 251 335 418 445 538—541 599n. 600n.
Moore, R.L., (1882-)      463
Mordell, L.J., (1888-)      269
Morera, E., (1856-1909)      607n.
Morgan, A. de, (1806-1871)      41 122 147 181 182 206 458 475 555 556 590 601
Morrice, G.G.      599n.
Morse, M., (1892-)      380
Moslems      18 84 92—106
Motion, elliptic      383
Motion, groups of      439
Motion, postulates of      163—164
Moulton, F.R., (1872-)      417 605n.
Muir, T., (1844-1934)      426
Multiplication      71 172 173 203 214 254—255 255—260
Multiplication, associative      249
Multiplication, commutative      189 251 256
Multiplication, complex      312 397
Multiplication, logical      554 556
Murnaghan, F.D., (1893-)      414 605n.
Musical intervals, the law of      50
Mutations      200
Mydorge      133
Mysticism      560
Mystics      594
Napier, J., (1550-1617)      161 598n.
Nasir-Eddin, (1201-1274)      103
Natural inheritance by Gal ton      589
naturalism      189
Navier, M.H., (1785-1836)      520 521
Navigation      111 365
Negatives, geometric      338
Negatives, logical      554
Neighborhood      454 463 541 543
Nemorarius, J., (1st half 13th cent.)      112
Nesselmann, G.H.F.      123
Neue Geometrie des Raumes gegrundet auf die Betrachtung der geraden Linie als Raumelemente by Pluecker      350
Neugebauer, O., (1899-)      29 38 595n.
Neumann, C., (1832-1925)      526
Neumann, F., (1798-1895)      521
Newton, I.(1642-1727)      10 15 18 24—25 45 57 58 76 82 83 120 132 133 134 137 138 142 144 145—148 150 151—152 153 154 155 160 163 164 167 243 271 272 282—284 287 304 305 341 361 362 364 374 397 399 402 406 472 473 475 480 481 548 597n. 604n. 607n.
Nicomachus, (first cent.)      54 88 89
Nicomedes, (2d cent.b.c.)      80
Nightingale, Florence, (1820-1910)      588—589
Nilpotent      249 252
Niven, I.M., (1915-)      318
Noether, A.E., (Emmy), (1882-1935)      218 230 231 238 260 308 510 514 599n.
Noether, M., (1844-1921)      348 505 509 599n.
Non-denumerable infinity      195
Nonsingular cubic surface by Segre      324
Norlund, N.E., (1885-)      409
Norm      307
Notation, algebraic      119
Notations, A history of mathematical, by Cajoric      100
Null class      257 554
NUMBER      3 18
Number, "all"      279
Number, algebraic      77 196 215 221—223 229 316 499
Number, Betti's      462 467
Number, cardinal      171 219 272 274—275 280 539 548
Number, class-      316
Number, complex      167 172 175-180 194 217 255 541 542
Number, evolution of concept of      188
Number, field      214
Number, figurate      50
Number, g-adic      247
Number, geometry of      306—307
Number, hypercomplex      167 188 203 204 219 249 250 254
Number, irrational      12 38 61—66 195 271 276 548 552 570
Number, manifold      203 243
Number, meaning of      191
Number, mysticism      21 50 53
Number, natural      170 219 220 271 563
Number, negative      34 61 96 174 181 194
Number, ordinal      219 274—275 279 539
Number, p-adic      247
Number, polygonal      21 88
Number, pure      295
Number, rational      61 214 566
Number, real      56 61 65 167 225 271 294 541 566
Number, real, continuum of      292
Number, square      50
Number, transcendental      78 275 276
Number, transfinite      570
Number, triangular      50
Number-couples      179 181 184
Number-couples, Hamilton's      194 214
Numbers, History of the theory of, Dickson      69
Numerals, Hindu      51 88 100 101 114 246
Numeration, decimal      32
Numeration, Egyptian      32
Numeration, Greek      51
Numeration, Hindu      31 51—52
Numeration, Mayan      31
Numeration, place-systems      51
Numeration, place-value      31
Numeration, sexagesimal      31
Numerology      26 60 71 193 530 564
Numerology, Platonic      564
Numerology, Pythagorean      60 71 564
Observables      262 564
Occam, (14th cent.)      92 330 573
Olivier, T., (1793-1853)      605n.
Operation      126
Operation, additive      542—543
Operation, continuous      543
Operation, functional      539 540
Operation, linear      542—543
Operators, differential      430
Optics      144 146
OR      555 556
Orbits, circular      111
Order-type      539
Ordinal number      219 274—275 279 539
Ordinal number, transfinite      275
Ore, O., (1899-)      258 578 579 598n. 600n.
Oresme, N., (14th cent.)      136
Orthogonality      106 527
Osgood, W.F., (1864-1943)      600n.
Ostrowski, O., (1893-)      254 598n.
Ostwald, W., (1853-1932)      600n.
Paciolo, L., (1445?-1514)      173 597n.
Pade, H., (1863-)      476
Painleve, P., (1863-1933)      412
Pappus, (2nd half 3rd cent.)      59 79—80 158 597n.
parabola      59
Paraboloids      75
Paradox      168
Paradox, Burali — Fortis      279 573
Paradox, infinite      294
Paradox, Russell's      280
Paradox, Zeno's      63—64 150 279 280 548
parallel      158 331
Parallel, displacement      449 450
Parallel, postulate      77—78 189 328 336
Part      264
Partiellen differential-Gleichungen der mathematischen Physik, Die, by Riemann — Weber      529
Partition      22 288 313
Pascal, B., (1623-1662)      21 22 132 135 154 158—159 322 339 341
Pasch, M., (1843-1931)      332—333 334
Pasigraphy, Peano's      334
Pax Romana      85
Peacock, G., (1791-1858)      180-182
Peano, G., (1858-1932)      266 276 277 332—334 558 559
Pearson, K., (1857-1936)      589—592 610n.
Peirce, B., (1809-1880)      204 211 219 246 249 332
Peirce, C.S.(S.), (1839-1914)      249—251 556 579 610n.
Pell, J., (1610-1685)      601n.
Pendulum, compound      166
Pendulum, simple      165
Pensees by Pascal      159
Periodicity, double      390—399
Periodicity, generalized      507
Periodicity, single      391
Permanence, principle of      174 181
Perron, O., (1880-)      482 607n.
Perturbations, theory of      165
Petrarch, (1304-1374)      109
Pfaff's problem      409—410
Pfaff, J.F., (1765-1825)      409
Phenomena      530
Philosophy, analytic      175
Philosophy, synthetic      175
Photoelastic, method      521
Photon      582
Physics, classical      528
Physics, mathematical      211 219
Picard's theorem      508
Picard, E., (1856-1941)      241 401 411 436 437 509
Pillai, S.S., (1902-)      318
Pincherle, S., (1853-1936)      409 536
Plana, G.A.A., (1781-1864)      520
Planck, M., (1858-)      528
Plane, finite      335
Plateau's problem      380
Plateau, J., (1801-1883)      380
Plato's science      50
Plato, (430-349 b.c.)      50 54 56 71—74 286 330 546 564 568 595n. 596n.
Platonic, bodies      71
Platonic, idealism      73
Platonic, realism      73
Platonic, theory of mathematical truths      54
Platonists      55
Pluecker's equations      345—346 505
Pluecker, J., (1801-1868)      15 166 326 342—347 350 351 430 457
Plutarch, (46?—120 ?)      74
Poincare, H., (1854-1912)      171—172 239 240 250 295 306 334 389 406 408 414 416 459 462 472 478 506 508 509 512 526 528 537 543 551 577 607n.
Point sets      154 273 276 294 458 461 467 482 539 542
Point sets, measure of      482
Point sets, rings of      265
Point sets, theory      466
Point-events      564
Points, branch      492 500
Points, circular      337
Points, classes of      264
Points, double      346 505
Points, lattice      306 313
Points, limit      254
Points, ordinary      492
Points, problem of      155
Poisson, S.D., (1781-1840)      407 498 520 521
polar      341
Polar, reciprocal      342
Pole      488
Pole, analytic      488
Pole, geometric      341—342
Polygons, regular      197
Polyhedra      324 457 460
Polynomial      493—494
Polynomial, approximate      495
Polynomial, reducible      228
Poncelet, J.V., (1788-1867)      337—343 347 351 463
Pons asinorum      89
Positivism, logical      568
Positivists      568
Post, E.L., (1897-)      573—574
Postulates      6 212
Postulates, correlated      216—217
Postulates, independent      335
Postulates, motion      163—164
Postulates, parallel      77—78 189 328 336
Postulates, union      257 259 264
Postulational method      70—72 120 212 326
Potential      389 390 470 489 490 496 526 539
Potential, function      373
Potential, kinetic      373 374
Potential, Newtonian      460
Potential, theory      111 165 361 365 371
Power, notation for      127 144
Power, residues      310—311
Power, series, Abel's      315 414 501 502
Practica geometriae by Fibonacci      114
Pragmatism      249
Predicate, quantified      556
Priestley, J.B., (1894-)      603n.
PRIMES      221—223
Primes, distribution of      311 314
Primes, ideal theorem      316
Primes, number theorem      314 316
Primes, rational      220 260
Primes, theory of      415
Principia by Newton      82 131 146 147 151 152 160 162 164 371
Principia mathematica by Whitehead and Russell      536 549 556 559 562 563 564 565 567 571 572 573 575 576 578 579
Principle(s), Alembert's      371
Principle(s), continuity      158 340 463
Principle(s), covariance      422
Principle(s), Dirichlet's      388—390 402
Principle(s), duality      260 326 341—342
Principle(s), generalization      539
Principle(s), Hamilton's      375
Principle(s), ideal      224
Principle(s), permanence      174 181
Principle(s), stationary      374
Principle(s), superposition      517 531
Principle(s), uncertainty      587
Principle(s), variational      370—376
Principle(s), vicious-circle      462
Prinhonsky, F.      600n.
Printing, European      110
Prinzipien der Mechanik, Die, by Hertz      375
Probabilities, enchained      592
probability      21 134 154—156 262 407 535 549 557 574 582—594
Probability, continuous      584
Probability, generalized      592
Probability, inverse      583
Probability, waves of      582
Problem(s), boundary-value      106 211 385 520 521 523—528 531 534
Problem(s), cattle      75
Problem(s), Cauchy's      417—418
Problem(s), Dirichlet's      388—390 491 496 526
Problem(s), formal mathematics      557
Problem(s), four-color      438
Problem(s), isoperimetric      79 402
Problem(s), Lord Kelvin's and Dirichlet's      388—390
Problem(s), Pfaff's      409—410
Problem(s), Plateau's      380
Problem(s), points      155
Problem(s), three bodies      165—166
Problem(s), Wiring's      316—318
Probleme de la logique de la science, Le      568
Product, direct      252
Product, indeterminate      204 208
Product, infinite      287 313 476 494
Product, inner      204
Product, outer      204
Progression, arithmetical      33 161
Progression, geometric      161
Projection      79 323
Projection, method of      159 323
Projective geometry by Hilbert      263
proof      4 40 70 513
Proof, constructive      228
Proof, deductive      4 5
Proof, existence of      228
Proof, historical      8 9
Proof, theological      228
Proof, theory of      570 575 576
Proof, transcendental      279
Proportion      39 79
Proportionals      64
Proposition      561—564
1 2 3 4 5 6 7 8 9
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