576 Index
Babylonian mathematics (cont.)
see also mathematical education
Bachet, C., 325
backtracking huan , 437–8, 447, 457–8,
482–3, 539, 544
Bacon, Francis, 381
Bailly, C., 512
Bailly, J.-S., 234, 236–9
Bakhshali manuscript , 260, 501, 503, 506
Banerji, H. C., 247–8, 257
Barker, A. D., 302
Barozzi, 206, 207
Bashmakova, I. G., 328
Ben Miled, M., 87, 131
Berezkina, E., 535
Berggren, J. L., 149
Bernays, P., 312
Bertier, J., 311
Besthorn, R. O., 130, 138
Bhāskara I, 51–2, 66, 67, 270–2, 487–508
Bhāskara II (also Bhascara , Bhaskaracarya), 66,
235, 248, 249–50, 254, 264, 276, 290
Biancani, 206
Biernatzki, K. L., 275
Bija-Ganita (also Vija-Ganita ), 235, 240, 241,
243–6, 249, 252, 254, 276, 487
Biot, E., 1, 5, 56, 66, 275, 511–13
Biot, J.-B., 5, 9, 245, 274–5
Birch, A. H., 285
Bīrūnī (al-), 290
Blanchard, A., 72, 132, 134, 187
Blue, G., 3, 66
Bombelli, R., 284
Book of Mathematical Procedures , see Suan shu shu
Bos, H., 290
Bourbaki, N., 69, 74, 120, 132, 328
Bouvet, J., 3
Boyer, C. B., 328
Brahmagupta, 228, 240, 243, 246, 255, 264,
273, 508
Brahmasphutasiddhanta , 243–5, 508
Brentjes, S., 78, 85, 87, 89, 116, 118, 119, 132–3
Bretschneider, E., 279
Brianchon, C. J., 5
Britton, J. P., 385
broad lines, 379
Brownson, C. D., 304
Bruins, E., 370–1, 385–6, 400, 410, 509
Bryson, 296
Buckland, C. E., 257
Burgess, J., 237, 257
Burkert, W., 295
Burning Mirrors ( On ), see DioclesBurnyeat, M. F., 303
Burrow, R., 231–6, 239, 242, 247, 257
Busard, H. L. L., 86, 89, 130, 152
Calcidius
Plato’s Timaeus, 156
calculation, 10, 40, 263, 266, 283, 498, 507
as opposed to ‘proof ’, 10, 40,
blind, 37, 507
devaluation of, calculation as a mathematical
activity, 10, 12, 40, 50, 60, 263
see also Babylonian mathematics,
computation
Campanus of Novara, 69, 78, 79, 81, 86, 127,
130, 134
cân (Vietnamese, Chinese: jin , measure of
weight), 524, 527–8, 539, 541–2
Canaan, T., 340
canon, 53, 64; see also classic
Cantor, M., 277–83, 285–9
cao ‘computations’, 531, 533–4
Cardano, G., 289
Carnot, L., 5
Carra de Vaux, Bernard, 292
c a s e o f fi gure, 23, 58, 90, 111, 115, 124, 128,
152–3
Catena, 206
Cavigneaux, A., 384, 405, 410
certainty, 2, 11, 12–17, 30, 62, 265, 281
actors’ perception of what yields certainty, 14
certainty as possibly entailing losses
for mathematics and history of
mathematics, 17, 18, 32, 41, 62
Ceyuan haijing , Sea Mirror of the
Circle Measurements , 58, 450, 558, 566
Ch’en Liang-ts’so (Chen Liangzuo) , 572
Chang’an , 514
chang fa ‘constant norm’, 527–8, 539
Charette, F., 5, 6–9, 10, 53, 228, 257
Charpin, D., 387
Chasles, M., 5, 278
Chattopadhyaya, D., 273
checking, 10, 44–5, 505, 507
Chemla, K., 1–68, 354, 423–86, 531, 537, 542,
560
Cheng Dawei , 512, 524, 526
Chỉ minh lập thành toán pháp ,
524, 526, 537
China, 1, 2–3, 5, 7, 10, 12–13, 14, 16, 18, 24, 31,
41–2, 47–9, 51–9, 62, 63, 64, 65, 66, 67,
68, 423–86, 510–14, 523–4, 526, 531,
552–73
bureaucracy, 10, 54