by E. T. Bell
Lagrange, Marie-Thérèse Gros, 153
Lamarck, J. B. A. F., 181
Lamb, Horace, 14
Landau, Edmund, 516
Laplace, Pierre-Simon, Marquis, 104–5, 111, 156, 163, 169–70, chap. 11, 184, 197, 209, 223, 225, 238, 240–2, 246–8, 270, 273–5, 286, 318, 329, 338, 343, 381, 412, 437, 450, 541, 544
Lavoisier, A. L., 166–7, 169, 184
least squares, theory of, 259, 260, 263
Lefschetz, S., 268
Legendre, Adrien-Marie, 174, 197, 225–7, 236–7, 259–60, 270, 277, 284, 312, 317–8, 320–4, 335–7, 364, 452, 487, 488
Leibniz, Gottfried Wilhelm, 7, 13, 15–6, 18, 32, 56, 59, 68, 76, 78, 87, 98, 103, 113–6, chap. 7, 133–5, 140–1, 169, 223, 231, 434, 443
Lemâitre, Father, 527
Lemonnier, P. C., 169
Leverrier, U. J. J., 290, 350, 367
Levi-Civita, T., 256, 391, 544
Liapounoff, A., 529
Libri, G., 321
Lichtenstein, Leon, 529
Lie, S., 391
Lilly, Wm., 526
limits, 430
Lincoln, Abraham, 434
Lindemann, F., 314, 464–5, 568
Linus (of Liège), 107
Liouville, Joseph, 335–6, 451, 463, 476
Listing, J. B., 491
Littrow, J. J. von, 295, 333
Lloyd, Humphrey, 351
Lobatchewsky, Nikolas Ivanovitch, chap. 16, 359, 377, 379, 474, 503
Lobatchewsky, Praskovia Ivanovna, 294
Locke, John, 111–2
logic, symbolic, 6, 13, 121, 124, 439, 440–6
Lotze, R. H, 439
Lucas (of Liège), 107–8
MacLaurin, C., 528
MacMahon, P. A., 378
Macaulay, Thos. B., 257, 381
magnitude, 565
Malus, Étienne-Louis, 277–8, 348, 351
manifold, 265, 504–7
mapping, conformal, 266–7
Marcellus, 28, 33–4
Marie, Abbé, 158, 163
Marr, John, 526
matrices, 379, 398, 400–2
Maurice, Prince of Orange, 38
Maxwell, James Clerk, 267, 350, 433, 500, 546
Menaechmus, 537
Mendelssohn, Felix, 468
Mercator, N., 107, 125
Méré, Gombaud Antoine, Chevalier de, 86–7, 89
Mersenne, P., 37, 45, 62, 76, 80
Mill, John Stuart, 35
Milton, John, 36
Minkowski, H., 7
Mittag-Leffler, G. M., 316, 324, 419, 422, 428, 543, 570, 571
modulus, 225–7, 235–6, 252, 293
Monge, Gaspard, 171, chap. 12, 207, 263, 285, 366
Monge, Jacques, 184, 287
monogenic, 249, 250–1
Montagu, Charles, 112
More, L. T., 64
Morgan, John Pierpont, 466
Moritz, R. E., 557
Mozart, W. A. C., 405
multiformity, 492
Napier, John, 526
Napoleon Bonaparte, 124, 153, 168, 170, 179–82, 184, 187, 190–6, 202–7, 209, 224, 243, 246–7, 251, 258, 271, 274–5, 277, 285, 348, 362, 422, 511, 531
Newton, Hannah Ayscough, 90
Newton, Isaac, 5, 7, 13, 18–20, 26, 28–9, 32, 36, 56, 58–60, 64, 73, chap. 6, 118–21, 123, 125–6, 129–30, 133, 135, 138–40, 142–3, 147, 153–5, 157–8, 166–75, 179–80, 198, 201, 213, 218, 220, 223, 225, 230, 237–8, 240–1, 248, 25–46, 263, 267, 270, 289, 308–9, 338, 343–4, 349–50, 354, 361, 400, 404, 416, 433, 443, 478, 490–1, 500, 503–4, 533, 538, 541–2
Nightingale, Florence, 387–8
Noether, Emmy, 261
non-denumerable, 569, 571
normal, 264–5
number, 6, 13–6, 21–7, 87–8, 125, 140, 169, 208, 222, 225–9, 231–7, 250, 252–4, 256, 265–6, 271, 284, 318, 334, 337–8, 347, 354, 356–7, 364, 376, 386, 405, 419, 431, 438, 446, 450, 456, 458–9, 462–4, 470–2, 474, 478, 481–2, 505–6, 510, 513–4, 519–21, 523–4, 556, 564–9, 573, 575–6, 578
number, cardinal, 565–7, 515, 511
numbers, ideal, 473–4, 513–4
numbers, irrational, 22, 27, 407, 431–2, 456, 460, 463–4, 480, 482, 519–22, 568, 576–9
numbers, negative, 356–1, 482
numbers, prime, 471–2, 487–8, 510, 513–4, 573, 578–9
numbers, theory of, 13, 57–8, 64–72, 98, 140, 161–2, 176, 225–9, 23–18, 241, 248, 252–4, 260–3, 267, 271–2, 284, 299, 318, 328, 331, 334, 337–8, 372, 386, 405–6, 408, 438, 455–9, 469–74, 476, 478–9, 482, 487–9, 510–1, 513–4, 517–24, 539, 541, 561, 578
numbers, transcendental, 459, 46–24, 567–9, 572
numbers, transfinite, 566–7, 514, 578
Nurmi, Paavo, 543
Olbers, H. W. M., 238, 246, 259, 262
Oldenburg, H., 108
order, 281, 574
Oscar II, King of Sweden, 543
Painlevé, Paul, 454, 544, 554
parameter, 266, 540, 541
parametric representation, 265, 515
partitions, theory of, 386, 405
Pascal, Antoinette Bégone, 73
Pascal, Blaise, 3, 9, 36, 57, chap. 5, 115, 119, 125, 128, 183, 208, 212, 216, 285, 398
Pascal, Étienne, 73
Pascal, Gilberte (Madame Périer), 57, 73, 75, 80–2
Pascal, Jacqueline, 73–5, 80–3
Pastoret, M. de, 180
Paul, Jean, see Richter, J. P. F.
Peacock, G., 438
Peel, Sir Robert, 354
Peirce, Benjamin, 354
Pepys, Samuel, 112
periodicity, 199–202, 229, 335–6, 461, 519, 539, 545, 553
permanence of form, 355
permutation, 279, 282
Peter the Great, 129, 141, 145
Pfaff, Johann Friedrich, 231, 242
Pheidias, 29
Phidias, 322
Philip, Apostle, 573
Philippe, Louis, 372–3
Piazzi, Giuseppe, 239
Picard, Émile, 454
Picard, Jean, 335
Pindar, 329
Planck, M., 546–7
Plato, 4, 16, 20–1, 24–7, 31–2, 240
Plücker, J., 399, 412, 474
Plutarch, 28, 33
Poincaré, Henri, 9, 17, 158, 270, 378, 428, 447–8, 454, 461, 483, chap. 28, 558
Poincaré, Raymond, 527, 531, 535
Poinsot, L., 277
Poisson, S. D., 318
Poncelet, Jean-Victor, 191, chap. 13, 285, 398
Pope, Alexander, 549
postulate, 20–1, 23, 279–80, 282, 299, 301, 303, 305, 354–7, 438, 443–5, 474, 477, 518, 574, 576–7
power series, 429–30, 561
probability, mathematical theory of, 6, 73, 83, 86–9, 133–4, 136, 155, 172, 176–7, 318, 441–2, 451
problem of n bodies, 542–3
progression, 355, 359, 535
pseudo-sphere, 304–6
Ptolemy, 109, 176, 361
Pythagoras, 16–7, 20–22, 266, 398, 407, 457, 474, 480, 506–7, 555, 576–7, 579
quadratic forms, 335, 388, 456, 478, 502, 541, 551
quantics, 394–5, 398
quantum theory, 63, 88, 107, 350, 459, 506, 515, 547
quaternions, 260, 352, 354–5, 357, 359–61
radicals, 372, 376–7, 453, 460, 477
Ramanujan, Srinivasa, 328
ratio, anharmonic or cross, 213–4
ratios, 27, 348, 522
rays, systems of, 346–51
reciprocants, 403
reciprocity, 226, 235, 252–3, 513–4
relativity, 6–7, 54, 63, 154, 186, 263, 305–6, 350, 360, 378, 391, 399, 437, 448, 480, 500, 502, 506–7, 509, 528, 547
Ricci, G., 256, 391
Richard, Loùis-Paul-Émile, 367–8, 450
Richelieu, Cardinal, 42, 52, 76
Richelot, F. J., 421
Richter, J. P. F. (Jean Paul), 257
&nbs
p; Riemann, Georg Friedrich Bernhard, 4, 186, 256, 264, 266, 300, 306, 324, 379, 391–2, 406, 408, 474, chap. 26, 518, 532, 545
roots of unity, 514
Rosenhain, J. G., 324
Rossetti, Dante Gabriel, 528
Rostand, Edmond, 59
Rousseau, J. J., 258
Russell, Bertrand A. W., 14, 17, 118–9, 121, 239, 433 −4, 446, 527, 557, 567, 572, 575–7
Savoy, Duke of, 42
Schaeffer, Theodor, 560
Schelling, F. W. J. von, 240
Scherk, H. F., 511
Schiller, J. C. F. von, 257, 362
Schumacher, H. C., 239, 260
Scott, Sir Walter, 257, 380
Seneca, 363
sequence, 13, 431–2, 480
series, 149, 151, 201, 221–3, 237, 251–2, 274, 286–7, 413–4, 430, 487, 496, 499, 541, 543, 550, 561, 568
series, hypergeometric, 514, 550–1
Serret, J. A., 368
sets, 555, 562–7, 569–78
Shakespeare, Wm., 36, 230, 257, 381
Shelley, Percy Bysshe, 548, 564
Sierpinski, Waclaw, 566
Smith, Rev. Barnabas, 91
Smith, H. J. S., 68, 403
Snellius, W., 351
Sophie of Brandenburg, 129
Southey, Robert, 344
space, 15, 54, 63, 99, 150, 154, 185, 208, 217, 240, 264, 347, 358–60, 379, 391, 398–400, 491, 500, 503–4, 506–9, 515, 533, 571
Spinoza, Benedict de, 126, 486
squares, least, 517
Steiner, J., 27, 317, 468–9, 489, 517
Stern, M. A., 489, 491, 517
Storey, Miss, 92
Sturm, C., 453
subgroups, 281
substitutions, 278, 280, 282–3, 495, 518, 540
Sundman, Karl Frithiof, 544
Swinburne, Algernon Charles, 353
Sylvester, James Joseph, 76, 213, chap. 21, 437, 448, 459, 490, 526–7
symbolic reasoning, 6
Tait, P. G., 183
Tannery, P., 86
Tchebycheff, P., 426
tensor analysis, 360
Terquem, O., 367
Thackeray, Wm. M., 380
Thomson, James, 17, 580
Thomson, William, see Kelvin, Lord
time, 15, 54, 63, 99–100, 264, 347, 349, 359, 391, 399, 500
topology, 491–2, 495
Torricelli, E., 80
tractrix, 304
transposition, 283
trigonometry, 140, 201, 252, 322–4, 430, 453, 455, 461, 541, 561
Tuscany, Duke of, 46
uniformity, 249, 250–1
unique operation, 279
Vanini, L., 46
Veblen, O., 268
vector, 358–60
vector analysis, 360, 528
Vere, Aubrey de, 344
Vernier, P., 366
Virgil, 149
Voltaire, 129, 148
Volterra, V., 406, 428
Wakeford, E. K., 398
Wallis, J., 118
Waltershausen, Sartorius von, 245, 258
Weber, Heinrich, 467
Weber, Wilhelm, 255, 267, 490–1, 496–8, 517
Weierstrass, Karl W. T., 19, 25, 30, 223, 250, 270, 273, 316, 324, 332, chap. 22, 474–5, 477–83, 500–1, 512, 543, 556–7, 561, 575, 579
Westaway, F. W., 555
Weyl, H., 578–9
Whitehead, A. N., 34, 118–9, 239, 446, 557
Wilson, John, 162
Wilson, Woodrow, 485
Wolfskehl, Paul, 72
Wordsworth, William, 344–5, 402
world-lines, 391
Wren, Sir Christopher, 84, 105
Young, John Wesley, 215
Zeno, 19, 24–5, 49, 119, 407, 555–8, 575
Zermelo, E., 573–4
Zolotareff, G., 162
COPYRIGHT 1937 BY E.T. BELL
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BELL, ERIC TEMPLE, 1883-1960.
MEN OF MATHEMATICS.
(A TOUCHSTONE BOOK)
INCLUDES INDEX.
1. MATHEMATICIANS. 2. MATHEMATICS-HISTORY.
I. TITLE.
QA28.B4 1986 510’.92.’2 [B] 86-10229
ISBN 0-671-62818-6 PBK.
ISBN-13: 978-1-4767-8425-0 (eBook)