Index 593
fundamentals of computational
methods), 548
Suan jing shi shu (Ten classical
mathematical treatises), 548–9
Suan shu shu , 47, 423, 430, 434–5,
456–7, 469, 473–5, 482, 485, 510,
525–6, 547
Suan xue ‘Mathematical College’, 511, 514,
518–22, 531–4, 536
Suan xue qi meng , 526, 547
Sude, B., 87, 132
Sui dynasty , 514, 517, 533
Suidas, 345
Sulbasutras , 8, 12, 260–73, 282, 506
Sumerian, 384–5, 390–1, 398
Summarized fundamentals of computational
methods , see Suan fa tong zong
Sun Chao , 517
Sun Peiqing , 550
Sun zi , 515–18, 520, 522; see also Sun zi
suan jing, Sun zi bing fa
Sun zi bing fa , 517
Sun zi suan jing , 511, 516, 526, 532,
542, 547
Supervisorate of National Youth, see Guo zi jian
supporting argument, 15, 16
surface for computing, see tool for calculation
surveyability, 37, 46
Surya Siddhanta , 233, 236, 239, 240, 241, 249
Suryadasa , 508
Susa, 41–3, 371, 376
Suter, H., 279
sutra, 51, 260, 262, 265–71, 487–508
syllogism, 27, 280
symbol, 6, 35–7, 38, 327–8, 330–6, 341, 349
symbolism, 35, 37, 39, 63, 284
and the development of the reasonings to
establish the solutions to problems,
35–7, 57–8
Diophantus, 35–7, 63, 284, 330–41
for equations and polynomials in China, 57–8
Vieta, 36
synthesis, 44, 280; see also demonstration
systematization, 336, 342, 345, 347
Szabó, Á., 295
tables
cubes and cube roots, 414
metrological, 389
multiplication, 400, 402, 403
numerical, 385, 387, 389, 402, 406
reciprocals, 385, 390–1, 393–4, 397, 400, 402,
403, 405, 417, 421
squares and square roots, 412, 414
see also trigonometry
tablets, Mesopotamian mathematical,
AO 8862, 379
BM 13901, 367–8, 373–4
CBS 1215, 384–6
IM 43993, 376
IM 54472, 386, 410–11
Ni 10241, 395, 405–6, 420
TMS vii, 371
TMS ix, 371–2
TMS xvi, 371, 374–5, 379
UET 6/2 222, 386, 410–11
VAT 6505, 385–6, 391
VAT 8390, 44, 364
YBC 8633, 376
YBC 6967, 377–8
Tak, J. G., van der, 156
Taliaferro, R. C., 145
Tang dynasty , 54, 513–14, 516–17, 519,
523–4, 530–2, 534–5
Tang liu dian , 514, 518
Tannery, P., 36, 279, 282, 284, 290–2, 318
critical edition of Diophantus’ Arithmetics ,
36, 318–25, 330–2, 336–9, 345
Tartaglia, N., 289
task, see tiao
Tassora, R., 30, 67
Taylor, J., 276
taylorism, 380–2
Tchernetska, N., 148, 162, 205
technical text, 37, 40, 42–3, 60
shaping of technical texts for proof, 35, 37,
40–1, 43, 62–3
technique of reasoning, 33, 38, 53, 50–2, 58,
61, 320–5
Teltscher, K., 229, 230, 259
Ten classical mathematical treatises , see Suan
jing shi shu
terminology, 265, 311–18, 425, 431, 436–7, 440,
446–9, 451, 456, 464, 470
geometrical, 318, 427
text of an algorithm, 9, 39–42, 45–6, 48–9, 51,
59, 63, 487–90, 492–4, 498, 500, 503,
506–7
operations on the text of algorithms, 438–52
see also text of proof, transformations
text of a proof, 16, 22, 26, 32, 35–9, 42–3, 62–3
a r t i fi cial text, 39, 45–6, 65
design of text as an indicator of the context, 63
reading the text of a proof, 30–2, 38, 40, 52
text of algorithm pointing out the reasons for
its correctness, 39–42, 48