The History of Mathematical Proof in Ancient Traditions

Index 583 heavenly unknown ( tianyuan ‘celestial origin’), 57 Hebrew science, 2 Heiberg, Johann, 20–8, 32, 85, 86, 89, 113, 130, ...

584 Index instrumentation, 274 intellectual inferiority, 274, 292 interpretation, 6, 9, 11, 22–3, 28, 30, 38–9, 43–8, 51–5, 60, ...

Index 585 Lardinois, R., 256, 259 latin science, 2, 21–3, 37 latitude, 495–8 Laudan, L., 5, 66 layout of text, 388, 412–16, 418 ...

586 Index mathematical education (cont.) in scribal schools, 41, 43–4, 62, 387, 389–90, 403, 405, 408–10, 412–16; see also scrib ...

Index 587 Mueller, I., 33–5, 37, 62, 100, 296, 306, 311–26 Mugler, C., 164, 186 multiple, see lü multiples of shares/parts, see ...

588 Index objects (cont.) m a t e r i a l versus immaterial, 207, 212, 219, 225 mathematical, 207–8, 212–14, 218–19, 221–2, 225 ...

Index 589 Polygonal numbers ( On ) , 33–4, 311–26 Bachet’s editio princeps of the Greek text, 325 Polygons (On), 313–16 polynomi ...

590 Index proof (cont.) proof as establishing mathematical attributes that belong to their subjects essentially, 27 proof as pro ...

Index 591 Raeder, J., 161 Ragep, J., 292, 293 Raina, D., 6–8, 9, 12, 228, 230, 238, 245, 247, 258 Raj, K., 237, 258 Rashed, R., ...

592 Index scribal school, 384, 386–7, 390, 405; see also Babylonian mathematics scroll, 71–2, 84 Sea island , see Hai dao Sea mi ...

Index 593 fundamentals of computational methods), 548 Suan jing shi shu (Ten classical mathematical treatises), 548–9 Suan shu s ...

594 Index textual techniques, 43, 44, 60 textual tradition, 78 direct/indirect, 74–7, 78–9, 88–93, 101, 104–5, 107, 113–19, 124– ...

Index 595 ad-Dîn at-Tûsî), 89, 106, 109, 117, 120, 288 Tybjerg, K., 300 Tycho Brahe, 275 uniformity, 13, 15, 26, 57–8, 435, 442 ...

596 Index Ý Trai toán pháp nhất đắc lục , 526 Yabuuti, K., 57, 68 Yan Dunjie , 515 Yang Hui , 566 Yeo, R. R., 4, 5, 8, 11, 67, 6 ...