Knowledge

Govindasvāmi

Source 📝

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Gupta, R. C. (1971). "Fractional parts of Aryabhata's sines and certain rules found in Govindasvami's Bhasya on the Mahabhaskarya".
1483: 294: 334: 177: 1493: 1606: 1435: 138:, these are lost, and known only from mentions and quotations by later writers such as Sankaranarayana and Udayadivakara. 1008: 1657: 1553: 1478: 988: 206: 1599: 727: 1652: 1228: 439: 1463: 1078: 832: 1546: 872: 751: 619: 17: 1453: 1473: 1458: 720: 374: 327: 284: 968: 172: 978: 100: 247:
Jha, S. K.; V N Jha (1991). "Computation of sine-table based on the Mahasiddhanta of Aryabhata II".
1268: 1134: 983: 182: 1394: 1276: 867: 629: 414: 369: 1415: 1342: 434: 320: 1155: 196: 1272: 1264: 766: 658: 312: 262:"A Chronology of Interpolation: From Ancient Astronomy to Modern Signal and Image Processing" 1632: 1587: 1534: 1354: 1065: 1033: 123: 8: 1637: 1420: 1389: 1197: 1183: 1120: 1013: 958: 953: 907: 857: 588: 491: 424: 404: 389: 168: 92: 33: 922: 743: 449: 409: 364: 73: 69:, written around 830. The commentary contains many examples illustrating the use of a 1425: 1307: 1127: 902: 897: 771: 614: 202: 108: 1141: 1023: 993: 963: 276: 235: 1106: 877: 464: 88: 1348: 1295: 1223: 1169: 1018: 887: 239: 112: 104: 84: 1575: 927: 1583: 1530: 1319: 1239: 1176: 1099: 1085: 1003: 998: 932: 776: 624: 578: 550: 544: 539: 459: 454: 384: 95:(c. 1444-1544). Sankaranarayana was the director of the observatory founded in 827: 1626: 1399: 1331: 1260: 1162: 688: 604: 526: 394: 822: 786: 562: 66: 1366: 1204: 1148: 1092: 912: 892: 817: 567: 534: 474: 429: 96: 51: 1372: 1325: 1113: 1059: 842: 796: 670: 664: 1071: 1028: 882: 862: 837: 700: 609: 503: 54: 111:, then ruler of Mahodayapuram and from these references the period of 1190: 852: 812: 712: 682: 652: 583: 399: 280: 973: 937: 917: 694: 676: 634: 469: 379: 70: 103:, and is believed to be the student of Govindasvami. In his book, 791: 1514: 1039:
Shanti Swarup Bhatnagar Prize recipients in Mathematical Science
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Kerala Mathematics and its Possible Transmission to Europe 2009_
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List of astronomers and mathematicians of the Kerala school
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and is lost. Other works attributed to Govindasvami include
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gives explanations to the insightful questions of the king
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Infinite series expansions for the trigonometric functions
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Ramanujan Institute for Advanced Study in Mathematics
1234: 166: 1624: 194: 1582:This article about an Asian mathematician is a 1607: 1554: 728: 328: 1529:This article about an Indian scientist is a 1648:Kerala school of astronomy and mathematics 1614: 1600: 1561: 1547: 1256:Kerala school of astronomy and mathematics 735: 721: 344:Kerala school of astronomy and mathematics 335: 321: 246: 83:His works have been quoted extensively by 259: 1484:Homi Bhabha Centre for Science Education 27:Indian mathematical astronomer (800-860) 198:Science and Technology in World History 178:MacTutor History of Mathematics Archive 160: 14: 1625: 742: 201:. Vol. 1. ABC-CLIO. p. 283. 716: 685:(Mahishamangalam Sankaran Namputhiri) 316: 225: 1570: 1508: 1009:Subbayya Sivasankaranarayana Pillai 24: 1469:Institute of Mathematical Sciences 219: 50:) (c. 800 – c. 860) was an Indian 25: 1669: 1643:9th-century Indian mathematicians 1479:Harish-Chandra Research Institute 989:K. R. Parthasarathy (probabilist) 420:Mazhamaṅgalaṃ Nārāyaṇan Naṃpūtiri 301: 1574: 1519: 1513: 1464:Chennai Mathematical Institute 833:Melpathur Narayana Bhattathiri 260:Meijering, Erik (March 2002). 195:William E. Burns, ed. (2020). 188: 13: 1: 308:A Chronology of Interpolation 153: 1586:. You can help Knowledge by 1533:. You can help Knowledge by 1454:Indian Statistical Institute 549:Laghuvivṛti (commentary on 240:10.1007/978-981-13-1229-8_33 7: 1474:Indian Institute of Science 1459:Bhaskaracharya Pratishthana 1337:A. A. Krishnaswamy Ayyangar 1302:Shankar Balakrishna Dikshit 1229:Hindu–Arabic numeral system 671:Mahodayapuram (Kodungallur) 460:Śaṅkara Varma of Kaṭattanāṭ 297:by George Gevarghese Joseph 141: 10: 1674: 1569: 1507: 969:Subrahmanyan Chandrasekhar 691:(Nilakantha Somayaji, etc) 661:(Govinda Bhattathiri, etc) 620:Madhava's correction terms 76:and the construction of a 31: 1658:Asian mathematician stubs 1444: 1408: 1382: 1286: 1248: 1214: 1051: 979:Veeravalli S. Varadarajan 946: 805: 759: 750: 679:(Madhava of Sangamagrama) 655:(Azhvanchery Thamprakkal) 643: 597: 483: 445:Śaṅkara of Mahiṣamaṅgalam 350: 1395:Henry Thomas Colebrooke 984:S. R. Srinivasa Varadhan 697:(Putumana Somayaji, etc) 435:Parameśvara of Vațaśśeri 183:University of St Andrews 32:Not to be confused with 868:Mādhava of Saṅgamagrāma 415:Madhava of Sangamagrama 269:Proceedings of the IEEE 134:(on mathematics). Like 1653:Indian scientist stubs 644:Places associated with 559:Mahābhāskarīya Bhāshya 61:, a commentary on the 1079:Brāhmasphuṭasiddhānta 646:members of the school 556:Madhyamanayanaprakara 531:Jyotiśśāstra-saṃgraha 523:Jātaka-sāara-saṃgraha 520:Grahacāraṇinibandhana 490:Aryabhatiya-bhashya ( 380:Dāmodara of Vațaśreņi 370:Azhvāñceri Taṃprākkaḷ 228:Indian J. History Sci 99:, the capital of the 1355:T. A. Saraswati Amma 1066:Bakhshali manuscript 1034:Kannan Soundararajan 695:Sivapuram (Thrissur) 630:Madhava's sine table 169:Robertson, Edmund F. 57:most famous for his 1431:Islamic mathematics 1390:Walter Eugene Clark 1184:Vasishtha Siddhanta 1156:Siddhānta Shiromani 1135:Paitamaha Siddhanta 1014:Tilak Raj Prabhakar 959:Satyendra Nath Bose 954:Srinivasa Ramanujan 908:Nilakantha Somayaji 492:Nīlakaņțha Sōmayāji 425:Nīlakaņțha Sōmayāji 390:Govinda Bhattathiri 290:on 28 January 2007. 167:O'Connor, John J.; 130:(on astrology) and 93:Nilakantha Somayaji 34:Govinda Bhattathiri 923:Gangesha Upadhyaya 744:Indian mathematics 410:Kochukrishnan Asan 353:and mathematicians 249:J. Bihar Math. Soc 74:place-value system 1595: 1594: 1542: 1541: 1502: 1501: 1308:Sudhakara Dvivedi 1128:Paulisa Siddhanta 1047: 1046: 903:Jagannatha Samrat 898:Achyuta Pisharati 710: 709: 673:(Sankaranarayana) 615:Kaṭapayādi system 610:Drigganita system 497:Candrachayaganita 450:Putumana Somayāji 16:(Redirected from 1665: 1616: 1609: 1602: 1578: 1571: 1563: 1556: 1549: 1525: 1524: 1523: 1517: 1509: 1142:Romaka Siddhanta 1024:Akshay Venkatesh 994:M. S. Narasimhan 964:P.C. Mahalanobis 757: 756: 737: 730: 723: 714: 713: 667:(Sankara Varman) 572:Sidhhantadarpana 337: 330: 323: 314: 313: 291: 289: 283:. Archived from 281:10.1109/5.993400 266: 256: 243: 213: 212: 192: 186: 185: 164: 128:Govinda-paddhati 122:was a sequel to 21: 1673: 1672: 1668: 1667: 1666: 1664: 1663: 1662: 1623: 1622: 1621: 1620: 1568: 1567: 1518: 1512: 1505: 1503: 1498: 1446: 1440: 1404: 1378: 1349:C. T. Rajagopal 1296:Bapudeva Sastri 1288: 1282: 1244: 1224:Brahmi numerals 1216: 1210: 1170:Surya Siddhanta 1043: 1019:Manjul Bhargava 942: 801: 746: 741: 711: 706: 645: 639: 635:Parahita system 598:Concepts/Topics 593: 479: 455:Śankara Vāriyar 440:Śaṅkaranārāyaṇa 365:Acyuta Piṣāraṭi 360:(Complete list) 352: 346: 341: 304: 287: 264: 222: 220:Further reading 217: 216: 209: 193: 189: 165: 161: 156: 144: 113:Sankaranarayana 105:Sankaranarayana 91:(fl. 1073) and 85:Sankaranarayana 37: 28: 23: 22: 15: 12: 11: 5: 1671: 1661: 1660: 1655: 1650: 1645: 1640: 1635: 1619: 1618: 1611: 1604: 1596: 1593: 1592: 1579: 1566: 1565: 1558: 1551: 1543: 1540: 1539: 1526: 1500: 1499: 1497: 1496: 1491: 1486: 1481: 1476: 1471: 1466: 1461: 1456: 1450: 1448: 1442: 1441: 1439: 1438: 1433: 1428: 1423: 1418: 1412: 1410: 1406: 1405: 1403: 1402: 1397: 1392: 1386: 1384: 1380: 1379: 1377: 1376: 1370: 1364: 1358: 1352: 1346: 1340: 1334: 1329: 1323: 1320:P. C. Sengupta 1317: 1311: 1305: 1299: 1292: 1290: 1284: 1283: 1281: 1280: 1258: 1252: 1250: 1246: 1245: 1243: 1242: 1237: 1231: 1226: 1220: 1218: 1212: 1211: 1209: 1208: 1201: 1194: 1187: 1180: 1177:Tantrasamgraha 1173: 1166: 1159: 1152: 1145: 1138: 1131: 1124: 1117: 1110: 1103: 1100:Karanapaddhati 1096: 1089: 1086:Ganita Kaumudi 1082: 1075: 1068: 1063: 1055: 1053: 1049: 1048: 1045: 1044: 1042: 1041: 1036: 1031: 1026: 1021: 1016: 1011: 1006: 1004:Harish-Chandra 1001: 999:C. S. Seshadri 996: 991: 986: 981: 976: 971: 966: 961: 956: 950: 948: 944: 943: 941: 940: 935: 933:Sankara Variar 930: 925: 920: 915: 910: 905: 900: 895: 890: 885: 880: 875: 870: 865: 860: 855: 850: 845: 840: 835: 830: 825: 820: 815: 809: 807: 803: 802: 800: 799: 794: 789: 784: 779: 774: 769: 763: 761: 754: 752:Mathematicians 748: 747: 740: 739: 732: 725: 717: 708: 707: 705: 704: 698: 692: 686: 680: 674: 668: 662: 656: 649: 647: 641: 640: 638: 637: 632: 627: 625:Madhava series 622: 617: 612: 607: 601: 599: 595: 594: 592: 591: 586: 581: 579:Tantrasamgraha 576: 573: 570: 565: 560: 557: 554: 551:Tantrasamgraha 547: 545:Kriyakramakari 542: 540:Karaṇapaddhati 537: 532: 529: 524: 521: 518: 515: 512: 511:Gaṇitayuktayah 509: 506: 501: 498: 495: 487: 485: 481: 480: 478: 477: 472: 467: 462: 457: 452: 447: 442: 437: 432: 427: 422: 417: 412: 407: 402: 397: 392: 387: 382: 377: 372: 367: 362: 356: 354: 348: 347: 340: 339: 332: 325: 317: 311: 310: 303: 302:External links 300: 299: 298: 292: 275:(3): 319–342. 257: 244: 221: 218: 215: 214: 207: 187: 173:"Govindasvami" 158: 157: 155: 152: 151: 150: 143: 140: 63:Mahābhāskarīya 26: 9: 6: 4: 3: 2: 1670: 1659: 1656: 1654: 1651: 1649: 1646: 1644: 1641: 1639: 1636: 1634: 1631: 1630: 1628: 1617: 1612: 1610: 1605: 1603: 1598: 1597: 1591: 1589: 1585: 1580: 1577: 1573: 1572: 1564: 1559: 1557: 1552: 1550: 1545: 1544: 1538: 1536: 1532: 1527: 1522: 1516: 1511: 1510: 1506: 1495: 1492: 1490: 1487: 1485: 1482: 1480: 1477: 1475: 1472: 1470: 1467: 1465: 1462: 1460: 1457: 1455: 1452: 1451: 1449: 1443: 1437: 1434: 1432: 1429: 1427: 1424: 1422: 1419: 1417: 1414: 1413: 1411: 1409:Other regions 1407: 1401: 1400:David Pingree 1398: 1396: 1393: 1391: 1388: 1387: 1385: 1381: 1374: 1371: 1368: 1365: 1362: 1359: 1356: 1353: 1350: 1347: 1344: 1341: 1338: 1335: 1333: 1330: 1327: 1324: 1321: 1318: 1315: 1314:M. Rangacarya 1312: 1309: 1306: 1303: 1300: 1297: 1294: 1293: 1291: 1287:Historians of 1285: 1278: 1274: 1270: 1266: 1262: 1261:Jantar Mantar 1259: 1257: 1254: 1253: 1251: 1247: 1241: 1238: 1236: 1232: 1230: 1227: 1225: 1222: 1221: 1219: 1213: 1207: 1206: 1202: 1200: 1199: 1195: 1193: 1192: 1188: 1186: 1185: 1181: 1179: 1178: 1174: 1172: 1171: 1167: 1165: 1164: 1160: 1158: 1157: 1153: 1151: 1150: 1146: 1144: 1143: 1139: 1137: 1136: 1132: 1130: 1129: 1125: 1123: 1122: 1118: 1116: 1115: 1111: 1109: 1108: 1104: 1102: 1101: 1097: 1095: 1094: 1090: 1088: 1087: 1083: 1081: 1080: 1076: 1074: 1073: 1069: 1067: 1064: 1062: 1061: 1057: 1056: 1054: 1050: 1040: 1037: 1035: 1032: 1030: 1027: 1025: 1022: 1020: 1017: 1015: 1012: 1010: 1007: 1005: 1002: 1000: 997: 995: 992: 990: 987: 985: 982: 980: 977: 975: 972: 970: 967: 965: 962: 960: 957: 955: 952: 951: 949: 945: 939: 936: 934: 931: 929: 926: 924: 921: 919: 916: 914: 911: 909: 906: 904: 901: 899: 896: 894: 891: 889: 886: 884: 881: 879: 878:Mahendra Sūri 876: 874: 871: 869: 866: 864: 861: 859: 856: 854: 851: 849: 846: 844: 841: 839: 836: 834: 831: 829: 826: 824: 821: 819: 816: 814: 811: 810: 808: 804: 798: 795: 793: 790: 788: 785: 783: 780: 778: 775: 773: 770: 768: 765: 764: 762: 758: 755: 753: 749: 745: 738: 733: 731: 726: 724: 719: 718: 715: 702: 699: 696: 693: 690: 689:Thrikkandiyur 687: 684: 681: 678: 675: 672: 669: 666: 663: 660: 657: 654: 651: 650: 648: 642: 636: 633: 631: 628: 626: 623: 621: 618: 616: 613: 611: 608: 606: 605:Chandravakyas 603: 602: 600: 596: 590: 587: 585: 582: 580: 577: 574: 571: 569: 566: 564: 561: 558: 555: 552: 548: 546: 543: 541: 538: 536: 533: 530: 528: 527:Jyotirmimamsa 525: 522: 519: 516: 513: 510: 507: 505: 502: 499: 496: 493: 489: 488: 486: 482: 476: 473: 471: 468: 466: 465:Udayadivākara 463: 461: 458: 456: 453: 451: 448: 446: 443: 441: 438: 436: 433: 431: 430:Nīlakaṇṭha II 428: 426: 423: 421: 418: 416: 413: 411: 408: 406: 403: 401: 398: 396: 395:Govindasvāmin 393: 391: 388: 386: 383: 381: 378: 376: 373: 371: 368: 366: 363: 361: 358: 357: 355: 349: 345: 338: 333: 331: 326: 324: 319: 318: 315: 309: 306: 305: 296: 293: 286: 282: 278: 274: 270: 263: 258: 254: 250: 245: 241: 237: 233: 229: 224: 223: 210: 208:9781440871177 204: 200: 199: 191: 184: 180: 179: 174: 170: 163: 159: 149: 146: 145: 139: 137: 136:Govinda-kriti 133: 129: 125: 121: 116: 114: 110: 106: 102: 101:Chera kingdom 98: 97:Mahodayapuram 94: 90: 89:Udayadivakara 86: 81: 79: 75: 72: 68: 64: 60: 56: 53: 49: 45: 44:Govindasvāmin 41: 35: 30: 19: 18:Govindasvamin 1588:expanding it 1581: 1535:expanding it 1528: 1504: 1447:institutions 1367:K. S. Shukla 1339:(1892– 1953) 1205:Yavanajataka 1203: 1196: 1189: 1182: 1175: 1168: 1163:Śulba Sūtras 1161: 1154: 1149:Sadratnamala 1147: 1140: 1133: 1126: 1119: 1112: 1105: 1098: 1093:Kanakkusaram 1091: 1084: 1077: 1070: 1058: 928:Varāhamihira 893:Parameshvara 848:Govindasvāmi 847: 818:Āryabhaṭa II 575:Spuṭanirṇaya 568:Sadratnamālā 535:Kanakkusāraṃ 475:Vidyamadhava 285:the original 272: 268: 252: 248: 231: 227: 197: 190: 176: 162: 135: 132:Ganita-mukha 131: 127: 120:Govindakriti 119: 117: 82: 62: 58: 52:mathematical 48:Govindaswami 47: 43: 40:Govindasvāmi 39: 38: 29: 1633:800s births 1383:Translators 1375:(1919–2005) 1373:K. V. Sarma 1369:(1918–2007) 1363:(1918–1992) 1357:(1918–2000) 1351:(1903–1978) 1345:(1901–1954) 1343:A. N. Singh 1328:(1888–1958) 1326:B. B. Datta 1322:(1876–1962) 1316:(1861–1916) 1310:(1855–1910) 1304:(1853–1898) 1298:(1821–1900) 1289:mathematics 1233:Symbol for 1217:innovations 1114:Lokavibhaga 1060:Aryabhatiya 858:Jyeṣṭhadeva 843:Brahmagupta 828:Bhāskara II 813:Āryabhaṭa I 797:Yajnavalkya 703:(Haridatta) 665:Kadathanadu 405:Jyeṣṭhadeva 351:Astronomers 124:Āryabhaṭīya 87:(fl. 869), 1638:860 deaths 1627:Categories 1332:T. Hayashi 1215:Pioneering 1198:Yuktibhāṣā 1121:Pātīgaṇita 1072:Bijaganita 1029:Ravi Vakil 883:Munishvara 863:Kamalakara 838:Brahmadeva 823:Bhāskara I 772:Baudhayana 701:Tirunavaya 589:Yuktibhāṣā 563:Pañcabodha 504:Drigganita 500:Dasādhyāyi 470:Vararuci I 375:Citrabhānu 154:References 115:is known. 109:Ravi Varma 67:Bhāskara I 55:astronomer 1361:S. N. Sen 1269:New Delhi 1191:Veṇvāroha 1052:Treatises 853:Halayudha 806:Classical 777:Katyayana 767:Apastamba 683:Peruvanam 659:Alathiyur 653:Athavanad 584:Venvaroha 508:Dṛkkaraṇa 484:Treatises 400:Haridatta 385:Devācārya 234:: 51–59. 118:His work 1277:Varanasi 1235:zero (0) 1107:Līlāvatī 974:C.R. Rao 938:Virasena 918:Sridhara 888:Narayana 873:Mahāvīra 677:Kudallur 517:Golasara 514:Golavada 142:See also 71:Sanskrit 1416:Babylon 1249:Centres 913:Śrīpati 792:Pingala 760:Ancient 255:: 9–17. 80:table. 59:Bhashya 1445:Modern 1436:Europe 1426:Greece 1273:Ujjain 1265:Jaipur 947:Modern 787:Pāṇini 782:Manava 205:  1421:China 288:(PDF) 265:(PDF) 1584:stub 1531:stub 1494:TIFR 203:ISBN 78:sine 42:(or 277:doi 236:doi 65:of 1629:: 1275:, 1271:, 1267:, 273:90 271:. 267:. 253:14 251:. 230:. 181:, 175:, 171:, 46:, 1615:e 1608:t 1601:v 1590:. 1562:e 1555:t 1548:v 1537:. 1279:) 1263:( 736:e 729:t 722:v 553:) 494:) 336:e 329:t 322:v 279:: 242:. 238:: 232:6 211:. 36:. 20:)

Index

Govindasvamin
Govinda Bhattathiri
mathematical
astronomer
Bhāskara I
Sanskrit
place-value system
sine
Sankaranarayana
Udayadivakara
Nilakantha Somayaji
Mahodayapuram
Chera kingdom
Sankaranarayana
Ravi Varma
Sankaranarayana
Āryabhaṭīya
List of astronomers and mathematicians of the Kerala school
Robertson, Edmund F.
"Govindasvami"
MacTutor History of Mathematics Archive
University of St Andrews
Science and Technology in World History
ISBN
9781440871177
doi
10.1007/978-981-13-1229-8_33
"A Chronology of Interpolation: From Ancient Astronomy to Modern Signal and Image Processing"
doi
10.1109/5.993400

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