Knowledge (XXG)

Chitrabhanu (mathematician)

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For each case, Chitrabhanu gave an explanation and justification of his rule as well as an example. Some of his explanations are algebraic, while others are geometric.
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equations in two unknowns. These types are all the possible pairs of equations of the following seven forms:
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Hayashi, Takao; Kusuba, Takanori (1998), "Twenty-one algebraic normal forms of Citrabhānu",
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A Passage to Infinity: Medieval Indian Mathematics from Kerala and Its Impact
310:
A Passage to Infinity: Medieval Indian Mathematics from Kerala and Its Impact
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Indian Institute of Science Education and Research, Thiruvananthapuram
1230:
Sree Chitra Tirunal Institute for Medical Sciences and Technology
23: 1205:
National Institute for Interdisciplinary Science and Technology
838: 438: 1054:
Kerala State Council for Science, Technology and Environment
1120:
Aromatic and Medicinal Plants Research Station, Odakkali
1115:
Amrita Institute of Medical Sciences and Research Centre
83:
He gave integer solutions to 21 types of systems of two
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Mar Athanasios College for Advanced Studies, Tiruvalla
1185:
Jubilee Mission Medical College and Research Institute
1024:
Centre of Science and Technology for Rural Development
1225:
Oriental Research Institute & Manuscripts Library
98: 1374: 1258: 1092: 991: 870: 765: 719: 605: 472: 63:, a concise astronomical manual, dated to 1530, an 53:brahmin from the town of Covvaram near present day 280: 1408:A History of the Kerala School of Hindu Astronomy 1245:Tropical Botanical Garden and Research Institute 1175:Indian Institute of Space Science and Technology 1150:Centre for Marine Living Resources & Ecology 1074:Regional Agricultural Research Station, Pattambi 1555:This article about an Asian mathematician is a 1250:Vadakke Madham Brahmaswam Vedic Research Centre 1235:Srinivasa Ramanujan Institute of Basic Sciences 307:Joseph, George Gheverghese (10 December 2009). 1580: 1527: 850: 450: 67:treatise, and a commentary on a poetic text. 8: 1502:This article about an Indian scientist is a 1165:Institute of Handloom and Textile Technology 1160:Crocodile Rehabilitation and Research Centre 1220:Naval Physical and Oceanographic Laboratory 1215:National Research Institute for Panchakarma 1140:Central Marine Fisheries Research Institute 1606:Kerala school of astronomy and mathematics 1587: 1573: 1534: 1520: 857: 843: 835: 466:Kerala school of astronomy and mathematics 457: 443: 435: 1135:Central Institute of Fisheries Technology 1014:Centre for Mathematical Sciences (Kerala) 414: 266: 253: 234: 221: 202: 189: 170: 157: 97: 1240:St. Ephrem Ecumenical Research Institute 1210:National Institute of Speech and Hearing 1100:Agricultural Research Station, Anakkayam 1195:Kerala School of Mathematics, Kozhikode 1105:Agricultural Research Station, Mannuthy 343:, SAGE Publications India, p. 21, 299: 1402:Technology Business Incubator TBI-NITC 1145:Central Tuber Crops Research Institute 1130:Cashew Research Station, Madakkathara 1110:Agronomic Research Station, Chalakudy 1069:Rajiv Gandhi Centre for Biotechnology 807:(Mahishamangalam Sankaran Namputhiri) 332: 330: 7: 1545: 1543: 1483: 1481: 1039:Kerala Science and Technology Museum 1446: 1180:Indian Institute of Spices Research 337:Joseph, George Gheverghese (2009), 1621:16th-century Indian mathematicians 1559:. You can help Knowledge (XXG) by 1506:. You can help Knowledge (XXG) by 14: 542:Mazhamaṅgalaṃ Nārāyaṇan Naṃpūtiri 16:16th century Indian mathematician 1547: 1492: 1486: 1459: 1445: 1434: 1433: 1422: 1421: 1190:Kerala Forest Research Institute 1125:Banana Research Station, Kannara 1064:Liquid Propulsion Systems Centre 1009:Centre for Earth Science Studies 1079:Rice Research Station, Moncombu 1034:Kerala Mathematical Association 1004:Centre for Development Studies 958:Melpathur Narayana Bhattathiri 1: 913:Jyā, koti-jyā and utkrama-jyā 865:Scientific Research in Kerala 71:and he were both teachers of 41:) was a mathematician of the 1084:Vikram Sarabhai Space Centre 671:Laghuvivṛti (commentary on 1059:Krishi Vigyan Kendra Kannur 1019:Centre for Rural Management 793:Mahodayapuram (Kodungallur) 582:Śaṅkara Varma of Kaṭattanāṭ 59: 29: 1647: 1542: 1480: 813:(Nilakantha Somayaji, etc) 783:(Govinda Bhattathiri, etc) 742:Madhava's correction terms 372:Princeton University Press 1631:Asian mathematician stubs 1417: 1311:Matthew Pothen Thekaekara 801:(Madhava of Sangamagrama) 777:(Azhvanchery Thamprakkal) 567:Śaṅkara of Mahiṣamaṅgalam 1341:T. A. Venkitasubramanian 1321:Pisharoth Rama Pisharoty 999:C-DAC Thiruvananthapuram 819:(Putumana Somayaji, etc) 557:Parameśvara of Vațaśśeri 1155:College of Horticulture 1044:Kerala Science Congress 943:Madhava of Sangamagrama 537:Madhava of Sangamagrama 1626:Indian scientist stubs 1281:E. C. George Sudarshan 766:Places associated with 681:Mahābhāskarīya Bhāshya 416:10.1006/hmat.1997.2171 282: 1382:A Passage to Infinity 768:members of the school 678:Madhyamanayanaprakara 653:Jyotiśśāstra-saṃgraha 645:Jātaka-sāara-saṃgraha 642:Grahacāraṇinibandhana 612:Aryabhatiya-bhashya ( 502:Dāmodara of Vațaśreņi 492:Azhvāñceri Taṃprākkaḷ 364:Plofker, Kim (2009). 283: 1316:P. N. Vinayachandran 953:Madhava's sine table 817:Sivapuram (Thrissur) 752:Madhava's sine table 402:Historia Mathematica 367:Mathematics in India 96: 57:. He is noted for a 1616:16th-century deaths 1611:15th-century births 963:Nilakantha Somayaji 903:Govinda Bhattathiri 614:Nīlakaņțha Sōmayāji 547:Nīlakaņțha Sōmayāji 512:Govinda Bhattathiri 47:Nilakantha Somayaji 39: 16th century 1387:FORV Sagar Sampada 1336:Sainudeen Pattazhy 1049:Kerala Soil Museum 898:Ganita-yukti-bhasa 532:Kochukrishnan Asan 475:and mathematicians 278: 1568: 1567: 1515: 1514: 1475: 1474: 1375:Assorted articles 1346:Thanu Padmanabhan 1271:C. V. Subramanian 933:Katapayadi system 878:Achyuta Pisharati 832: 831: 795:(Sankaranarayana) 737:Kaṭapayādi system 732:Drigganita system 619:Candrachayaganita 572:Putumana Somayāji 101: 45:and a student of 1638: 1589: 1582: 1575: 1551: 1544: 1536: 1529: 1522: 1498: 1497: 1496: 1490: 1482: 1466:India portal 1464: 1463: 1462: 1449: 1448: 1437: 1436: 1425: 1424: 1301:K. Radhakrishnan 1296:K. R. Ramanathan 1286:G. Madhavan Nair 871:Pre 19th Century 859: 852: 845: 836: 789:(Sankara Varman) 694:Sidhhantadarpana 459: 452: 445: 436: 429: 427: 418: 396: 390: 389: 361: 355: 353: 334: 325: 324: 304: 287: 285: 284: 279: 271: 270: 258: 257: 239: 238: 226: 225: 207: 206: 194: 193: 175: 174: 162: 161: 99: 73:Shankara Variyar 62: 40: 37: 32: 1646: 1645: 1641: 1640: 1639: 1637: 1636: 1635: 1596: 1595: 1594: 1593: 1541: 1540: 1491: 1485: 1478: 1476: 1471: 1460: 1458: 1413: 1370: 1361:Varghese Mathai 1351:Thomas Zacharia 1326:Pulickel Ajayan 1291:George Varghese 1254: 1088: 987: 978:Śaṅkaranārāyaṇa 866: 863: 833: 828: 767: 761: 757:Parahita system 720:Concepts/Topics 715: 601: 577:Śankara Vāriyar 562:Śaṅkaranārāyaṇa 487:Acyuta Piṣāraṭi 482:(Complete list) 474: 468: 463: 433: 432: 398: 397: 393: 386: 363: 362: 358: 351: 336: 335: 328: 321: 306: 305: 301: 296: 262: 249: 230: 217: 198: 185: 166: 153: 94: 93: 81: 38: 17: 12: 11: 5: 1644: 1642: 1634: 1633: 1628: 1623: 1618: 1613: 1608: 1598: 1597: 1592: 1591: 1584: 1577: 1569: 1566: 1565: 1552: 1539: 1538: 1531: 1524: 1516: 1513: 1512: 1499: 1473: 1472: 1470: 1469: 1455: 1443: 1431: 1418: 1415: 1414: 1412: 1411: 1404: 1399: 1394: 1392:Swatantra 2014 1389: 1384: 1378: 1376: 1372: 1371: 1369: 1368: 1363: 1358: 1353: 1348: 1343: 1338: 1333: 1331:R. S. Krishnan 1328: 1323: 1318: 1313: 1308: 1306:M. G. K. Menon 1303: 1298: 1293: 1288: 1283: 1278: 1273: 1268: 1262: 1260: 1256: 1255: 1253: 1252: 1247: 1242: 1237: 1232: 1227: 1222: 1217: 1212: 1207: 1202: 1197: 1192: 1187: 1182: 1177: 1172: 1167: 1162: 1157: 1152: 1147: 1142: 1137: 1132: 1127: 1122: 1117: 1112: 1107: 1102: 1096: 1094: 1090: 1089: 1087: 1086: 1081: 1076: 1071: 1066: 1061: 1056: 1051: 1046: 1041: 1036: 1031: 1026: 1021: 1016: 1011: 1006: 1001: 995: 993: 989: 988: 986: 985: 983:Tantrasamgraha 980: 975: 970: 965: 960: 955: 950: 948:Madhava series 945: 940: 938:Kriyakramakari 935: 930: 928:Karanapaddhati 925: 920: 915: 910: 905: 900: 895: 890: 885: 880: 874: 872: 868: 867: 864: 862: 861: 854: 847: 839: 830: 829: 827: 826: 820: 814: 808: 802: 796: 790: 784: 778: 771: 769: 763: 762: 760: 759: 754: 749: 747:Madhava series 744: 739: 734: 729: 723: 721: 717: 716: 714: 713: 708: 703: 701:Tantrasamgraha 698: 695: 692: 687: 682: 679: 676: 673:Tantrasamgraha 669: 667:Kriyakramakari 664: 662:Karaṇapaddhati 659: 654: 651: 646: 643: 640: 637: 634: 633:Gaṇitayuktayah 631: 628: 623: 620: 617: 609: 607: 603: 602: 600: 599: 594: 589: 584: 579: 574: 569: 564: 559: 554: 549: 544: 539: 534: 529: 524: 519: 514: 509: 504: 499: 494: 489: 484: 478: 476: 470: 469: 464: 462: 461: 454: 447: 439: 431: 430: 391: 384: 356: 349: 326: 319: 298: 297: 295: 292: 277: 274: 269: 265: 261: 256: 252: 248: 245: 242: 237: 233: 229: 224: 220: 216: 213: 210: 205: 201: 197: 192: 188: 184: 181: 178: 173: 169: 165: 160: 156: 152: 149: 146: 143: 140: 137: 134: 131: 128: 125: 122: 119: 116: 113: 110: 107: 104: 80: 77: 15: 13: 10: 9: 6: 4: 3: 2: 1643: 1632: 1629: 1627: 1624: 1622: 1619: 1617: 1614: 1612: 1609: 1607: 1604: 1603: 1601: 1590: 1585: 1583: 1578: 1576: 1571: 1570: 1564: 1562: 1558: 1553: 1550: 1546: 1537: 1532: 1530: 1525: 1523: 1518: 1517: 1511: 1509: 1505: 1500: 1495: 1489: 1484: 1479: 1468: 1467: 1456: 1454: 1453: 1444: 1442: 1441: 1432: 1430: 1429: 1420: 1419: 1416: 1410: 1409: 1405: 1403: 1400: 1398: 1395: 1393: 1390: 1388: 1385: 1383: 1380: 1379: 1377: 1373: 1367: 1364: 1362: 1359: 1357: 1354: 1352: 1349: 1347: 1344: 1342: 1339: 1337: 1334: 1332: 1329: 1327: 1324: 1322: 1319: 1317: 1314: 1312: 1309: 1307: 1304: 1302: 1299: 1297: 1294: 1292: 1289: 1287: 1284: 1282: 1279: 1277: 1276:Dileep George 1274: 1272: 1269: 1267: 1264: 1263: 1261: 1257: 1251: 1248: 1246: 1243: 1241: 1238: 1236: 1233: 1231: 1228: 1226: 1223: 1221: 1218: 1216: 1213: 1211: 1208: 1206: 1203: 1201: 1198: 1196: 1193: 1191: 1188: 1186: 1183: 1181: 1178: 1176: 1173: 1171: 1168: 1166: 1163: 1161: 1158: 1156: 1153: 1151: 1148: 1146: 1143: 1141: 1138: 1136: 1133: 1131: 1128: 1126: 1123: 1121: 1118: 1116: 1113: 1111: 1108: 1106: 1103: 1101: 1098: 1097: 1095: 1091: 1085: 1082: 1080: 1077: 1075: 1072: 1070: 1067: 1065: 1062: 1060: 1057: 1055: 1052: 1050: 1047: 1045: 1042: 1040: 1037: 1035: 1032: 1030: 1027: 1025: 1022: 1020: 1017: 1015: 1012: 1010: 1007: 1005: 1002: 1000: 997: 996: 994: 992:Organizations 990: 984: 981: 979: 976: 974: 971: 969: 966: 964: 961: 959: 956: 954: 951: 949: 946: 944: 941: 939: 936: 934: 931: 929: 926: 924: 923:Jyotirmimamsa 921: 919: 916: 914: 911: 909: 906: 904: 901: 899: 896: 894: 891: 889: 886: 884: 881: 879: 876: 875: 873: 869: 860: 855: 853: 848: 846: 841: 840: 837: 824: 821: 818: 815: 812: 811:Thrikkandiyur 809: 806: 803: 800: 797: 794: 791: 788: 785: 782: 779: 776: 773: 772: 770: 764: 758: 755: 753: 750: 748: 745: 743: 740: 738: 735: 733: 730: 728: 727:Chandravakyas 725: 724: 722: 718: 712: 709: 707: 704: 702: 699: 696: 693: 691: 688: 686: 683: 680: 677: 674: 670: 668: 665: 663: 660: 658: 655: 652: 650: 649:Jyotirmimamsa 647: 644: 641: 638: 635: 632: 629: 627: 624: 621: 618: 615: 611: 610: 608: 604: 598: 595: 593: 590: 588: 587:Udayadivākara 585: 583: 580: 578: 575: 573: 570: 568: 565: 563: 560: 558: 555: 553: 552:Nīlakaṇṭha II 550: 548: 545: 543: 540: 538: 535: 533: 530: 528: 525: 523: 520: 518: 517:Govindasvāmin 515: 513: 510: 508: 505: 503: 500: 498: 495: 493: 490: 488: 485: 483: 480: 479: 477: 471: 467: 460: 455: 453: 448: 446: 441: 440: 437: 426: 422: 417: 412: 408: 404: 403: 395: 392: 387: 385:9780691120676 381: 377: 376:220, 319, 323 373: 370:. Princeton: 369: 368: 360: 357: 352: 350:9788132104810 346: 342: 341: 333: 331: 327: 322: 320:9788132104810 316: 312: 311: 303: 300: 293: 291: 288: 275: 272: 267: 263: 259: 254: 250: 246: 243: 240: 235: 231: 227: 222: 218: 214: 211: 208: 203: 199: 195: 190: 186: 182: 179: 176: 171: 167: 163: 158: 154: 150: 147: 144: 141: 138: 135: 132: 129: 126: 123: 120: 117: 114: 111: 108: 105: 102: 91: 89: 86: 79:Contributions 78: 76: 74: 70: 66: 61: 56: 52: 48: 44: 43:Kerala school 33: 31: 25: 21: 1561:expanding it 1554: 1508:expanding it 1501: 1477: 1457: 1450: 1438: 1426: 1406: 1397:Techno-lodge 1366:Vinod Scaria 1093:Institutions 973:Sadratnamala 968:Parameshvara 883:Candravakyas 697:Spuṭanirṇaya 690:Sadratnamālā 657:Kanakkusāraṃ 597:Vidyamadhava 496: 406: 400: 394: 366: 359: 339: 309: 302: 289: 92: 85:simultaneous 82: 27: 19: 18: 1452:WikiProject 1356:Vainu Bappu 918:Jyeṣṭhadeva 825:(Haridatta) 787:Kadathanadu 527:Jyeṣṭhadeva 473:Astronomers 409:(1): 1–21, 374:. pp.  88:Diophantine 49:. He was a 20:Chitrabhanu 1600:Categories 1266:Ajit Varki 1259:Scientists 888:Citrabhanu 823:Tirunavaya 711:Yuktibhāṣā 685:Pañcabodha 626:Drigganita 622:Dasādhyāyi 592:Vararuci I 497:Citrabhānu 294:References 69:Nilakantha 30:Citrabhānu 1428:Templates 1029:Cyberpark 908:Haridatta 805:Peruvanam 781:Alathiyur 775:Athavanad 706:Venvaroha 630:Dṛkkaraṇa 606:Treatises 522:Haridatta 507:Devācārya 260:− 196:− 124:− 65:algebraic 51:Nambudiri 1440:Category 893:Damodara 799:Kudallur 639:Golasara 636:Golavada 425:1613702 55:Trissur 423:  382:  347:  317:  100:  60:karaṇa 1557:stub 1504:stub 380:ISBN 345:ISBN 315:ISBN 24:IAST 411:doi 36:fl. 1602:: 421:MR 419:, 407:25 405:, 378:. 329:^ 313:. 75:. 34:; 26:: 1588:e 1581:t 1574:v 1563:. 1535:e 1528:t 1521:v 1510:. 858:e 851:t 844:v 675:) 616:) 458:e 451:t 444:v 428:. 413:: 388:. 354:. 323:. 276:g 273:= 268:3 264:y 255:3 251:x 247:, 244:f 241:= 236:3 232:y 228:+ 223:3 219:x 215:, 212:e 209:= 204:2 200:y 191:2 187:x 183:, 180:d 177:= 172:2 168:y 164:+ 159:2 155:x 151:, 148:c 145:= 142:y 139:x 136:, 133:b 130:= 127:y 121:x 118:, 115:a 112:= 109:y 106:+ 103:x 22:(

Index

IAST
Kerala school
Nilakantha Somayaji
Nambudiri
Trissur
algebraic
Nilakantha
Shankara Variyar
simultaneous
Diophantine
A Passage to Infinity: Medieval Indian Mathematics from Kerala and Its Impact
ISBN
9788132104810


A Passage to Infinity: Medieval Indian Mathematics from Kerala and Its Impact
ISBN
9788132104810
Mathematics in India
Princeton University Press
220, 319, 323
ISBN
9780691120676
Historia Mathematica
doi
10.1006/hmat.1997.2171
MR
1613702
v
t

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