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Bell E.T. — The Development of Mathematics |
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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
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