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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",
1326: 435: 412: 98: 292:{\displaystyle \ x+y=a,x-y=b,xy=c,x^{2}+y^{2}=d,x^{2}-y^{2}=e,x^{3}+y^{3}=f,x^{3}-y^{3}=g} 8: 973: 928: 913: 721: 624: 557: 537: 522: 79: 57: 1397: 1346: 1059: 908: 582: 542: 497: 1356: 1281: 943: 888: 747: 390: 355: 325: 1311: 1306: 1296: 421: 83: 597: 1371: 1361: 1336: 1301: 431: 1559: 845: 1567: 1514: 1402: 1341: 1316: 993: 958: 948: 938: 757: 711: 683: 677: 672: 592: 587: 517: 1610: 1286: 933: 821: 737: 659: 527: 351:
A Passage to Infinity: Medieval Indian Mathematics from Kerala and Its Impact
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A Passage to Infinity: Medieval Indian Mathematics from Kerala and Its Impact
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Indian Institute of Science Education and Research, Thiruvananthapuram
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Sree Chitra Tirunal Institute for Medical Sciences and Technology
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National Institute for Interdisciplinary Science and Technology
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Kerala State Council for Science, Technology and Environment
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Aromatic and Medicinal Plants Research Station, Odakkali
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Amrita Institute of Medical Sciences and Research Centre
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He gave integer solutions to 21 types of systems of two
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Mar Athanasios College for Advanced Studies, Tiruvalla
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Jubilee Mission Medical College and Research Institute
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Centre of Science and Technology for Rural Development
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Oriental Research Institute & Manuscripts Library
109: 74:, a concise astronomical manual, dated to 1530, an 64:brahmin from the town of Covvaram near present day 291: 1419:A History of the Kerala School of Hindu Astronomy 875: 1608: 1256:Tropical Botanical Garden and Research Institute 1186:Indian Institute of Space Science and Technology 1161:Centre for Marine Living Resources & Ecology 1085:Regional Agricultural Research Station, Pattambi 1566:This article about an Asian mathematician is a 1261:Vadakke Madham Brahmaswam Vedic Research Centre 1246:Srinivasa Ramanujan Institute of Basic Sciences 318:Joseph, George Gheverghese (10 December 2009). 1591: 1538: 861: 461: 409: 78:treatise, and a commentary on a poetic text. 1513:This article about an Indian scientist is a 1176:Institute of Handloom and Textile Technology 1171:Crocodile Rehabilitation and Research Centre 1231:Naval Physical and Oceanographic Laboratory 1226:National Research Institute for Panchakarma 1151:Central Marine Fisheries Research Institute 1617:Kerala school of astronomy and mathematics 1598: 1584: 1545: 1531: 868: 854: 477:Kerala school of astronomy and mathematics 468: 454: 1146:Central Institute of Fisheries Technology 1025:Centre for Mathematical Sciences (Kerala) 425: 1251:St. Ephrem Ecumenical Research Institute 1221:National Institute of Speech and Hearing 1111:Agricultural Research Station, Anakkayam 1206:Kerala School of Mathematics, Kozhikode 1116:Agricultural Research Station, Mannuthy 374: 354:, SAGE Publications India, p. 21, 14: 1609: 1413:Technology Business Incubator TBI-NITC 1156:Central Tuber Crops Research Institute 368: 347: 317: 1141:Cashew Research Station, Madakkathara 1121:Agronomic Research Station, Chalakudy 1080:Rajiv Gandhi Centre for Biotechnology 849: 818:(Mahishamangalam Sankaran Namputhiri) 449: 343: 341: 1554: 1492: 1050:Kerala Science and Technology Museum 1457: 1191:Indian Institute of Spices Research 348:Joseph, George Gheverghese (2009), 24: 1632:16th-century Indian mathematicians 338: 25: 1653: 553:Mazhamaṅgalaṃ Nārāyaṇan Naṃpūtiri 27:16th century Indian mathematician 1558: 1503: 1497: 1470: 1456: 1445: 1444: 1433: 1432: 1201:Kerala Forest Research Institute 1136:Banana Research Station, Kannara 1075:Liquid Propulsion Systems Centre 1020:Centre for Earth Science Studies 89: 1090:Rice Research Station, Moncombu 1045:Kerala Mathematical Association 1015:Centre for Development Studies 969:Melpathur Narayana Bhattathiri 403: 311: 13: 1: 924:Jyā, koti-jyā and utkrama-jyā 876:Scientific Research in Kerala 304: 82:and he were both teachers of 52:) was a mathematician of the 1570:. You can help Knowledge by 1517:. You can help Knowledge by 1095:Vikram Sarabhai Space Centre 682:Laghuvivṛti (commentary on 7: 1070:Krishi Vigyan Kendra Kannur 1030:Centre for Rural Management 804:Mahodayapuram (Kodungallur) 593:Śaṅkara Varma of Kaṭattanāṭ 70: 40: 10: 1658: 1553: 1491: 824:(Nilakantha Somayaji, etc) 794:(Govinda Bhattathiri, etc) 753:Madhava's correction terms 383:Princeton University Press 1642:Asian mathematician stubs 1428: 1385: 1322:Matthew Pothen Thekaekara 1269: 1103: 1002: 881: 812:(Madhava of Sangamagrama) 788:(Azhvanchery Thamprakkal) 776: 730: 616: 578:Śaṅkara of Mahiṣamaṅgalam 483: 1352:T. A. Venkitasubramanian 1332:Pisharoth Rama Pisharoty 1010:C-DAC Thiruvananthapuram 830:(Putumana Somayaji, etc) 568:Parameśvara of Vațaśśeri 1166:College of Horticulture 1055:Kerala Science Congress 954:Madhava of Sangamagrama 548:Madhava of Sangamagrama 1637:Indian scientist stubs 1292:E. C. George Sudarshan 777:Places associated with 692:Mahābhāskarīya Bhāshya 427:10.1006/hmat.1997.2171 293: 1393:A Passage to Infinity 779:members of the school 689:Madhyamanayanaprakara 664:Jyotiśśāstra-saṃgraha 656:Jātaka-sāara-saṃgraha 653:Grahacāraṇinibandhana 623:Aryabhatiya-bhashya ( 513:Dāmodara of Vațaśreņi 503:Azhvāñceri Taṃprākkaḷ 375:Plofker, Kim (2009). 294: 1327:P. N. Vinayachandran 964:Madhava's sine table 828:Sivapuram (Thrissur) 763:Madhava's sine table 413:Historia Mathematica 378:Mathematics in India 107: 68:. He is noted for a 1627:16th-century deaths 1622:15th-century births 974:Nilakantha Somayaji 914:Govinda Bhattathiri 625:Nīlakaņțha Sōmayāji 558:Nīlakaņțha Sōmayāji 523:Govinda Bhattathiri 58:Nilakantha Somayaji 50: 16th century 1398:FORV Sagar Sampada 1347:Sainudeen Pattazhy 1060:Kerala Soil Museum 909:Ganita-yukti-bhasa 543:Kochukrishnan Asan 486:and mathematicians 289: 1579: 1578: 1526: 1525: 1486: 1485: 1386:Assorted articles 1357:Thanu Padmanabhan 1282:C. V. Subramanian 944:Katapayadi system 889:Achyuta Pisharati 843: 842: 806:(Sankaranarayana) 748:Kaṭapayādi system 743:Drigganita system 630:Candrachayaganita 583:Putumana Somayāji 112: 56:and a student of 16:(Redirected from 1649: 1600: 1593: 1586: 1562: 1555: 1547: 1540: 1533: 1509: 1508: 1507: 1501: 1493: 1477:India portal 1475: 1474: 1473: 1460: 1459: 1448: 1447: 1436: 1435: 1312:K. Radhakrishnan 1307:K. R. Ramanathan 1297:G. Madhavan Nair 882:Pre 19th Century 870: 863: 856: 847: 846: 800:(Sankara Varman) 705:Sidhhantadarpana 470: 463: 456: 447: 446: 440: 438: 429: 407: 401: 400: 372: 366: 364: 345: 336: 335: 315: 298: 296: 295: 290: 282: 281: 269: 268: 250: 249: 237: 236: 218: 217: 205: 204: 186: 185: 173: 172: 110: 84:Shankara Variyar 73: 51: 48: 43: 21: 1657: 1656: 1652: 1651: 1650: 1648: 1647: 1646: 1607: 1606: 1605: 1604: 1552: 1551: 1502: 1496: 1489: 1487: 1482: 1471: 1469: 1424: 1381: 1372:Varghese Mathai 1362:Thomas Zacharia 1337:Pulickel Ajayan 1302:George Varghese 1265: 1099: 998: 989:Śaṅkaranārāyaṇa 877: 874: 844: 839: 778: 772: 768:Parahita system 731:Concepts/Topics 726: 612: 588:Śankara Vāriyar 573:Śaṅkaranārāyaṇa 498:Acyuta Piṣāraṭi 493:(Complete list) 485: 479: 474: 444: 443: 408: 404: 397: 373: 369: 362: 346: 339: 332: 316: 312: 307: 277: 273: 264: 260: 245: 241: 232: 228: 213: 209: 200: 196: 181: 177: 168: 164: 108: 105: 104: 92: 49: 28: 23: 22: 15: 12: 11: 5: 1655: 1645: 1644: 1639: 1634: 1629: 1624: 1619: 1603: 1602: 1595: 1588: 1580: 1577: 1576: 1563: 1550: 1549: 1542: 1535: 1527: 1524: 1523: 1510: 1484: 1483: 1481: 1480: 1466: 1454: 1442: 1429: 1426: 1425: 1423: 1422: 1415: 1410: 1405: 1403:Swatantra 2014 1400: 1395: 1389: 1387: 1383: 1382: 1380: 1379: 1374: 1369: 1364: 1359: 1354: 1349: 1344: 1342:R. S. Krishnan 1339: 1334: 1329: 1324: 1319: 1317:M. G. K. Menon 1314: 1309: 1304: 1299: 1294: 1289: 1284: 1279: 1273: 1271: 1267: 1266: 1264: 1263: 1258: 1253: 1248: 1243: 1238: 1233: 1228: 1223: 1218: 1213: 1208: 1203: 1198: 1193: 1188: 1183: 1178: 1173: 1168: 1163: 1158: 1153: 1148: 1143: 1138: 1133: 1128: 1123: 1118: 1113: 1107: 1105: 1101: 1100: 1098: 1097: 1092: 1087: 1082: 1077: 1072: 1067: 1062: 1057: 1052: 1047: 1042: 1037: 1032: 1027: 1022: 1017: 1012: 1006: 1004: 1000: 999: 997: 996: 994:Tantrasamgraha 991: 986: 981: 976: 971: 966: 961: 959:Madhava series 956: 951: 949:Kriyakramakari 946: 941: 939:Karanapaddhati 936: 931: 926: 921: 916: 911: 906: 901: 896: 891: 885: 883: 879: 878: 873: 872: 865: 858: 850: 841: 840: 838: 837: 831: 825: 819: 813: 807: 801: 795: 789: 782: 780: 774: 773: 771: 770: 765: 760: 758:Madhava series 755: 750: 745: 740: 734: 732: 728: 727: 725: 724: 719: 714: 712:Tantrasamgraha 709: 706: 703: 698: 693: 690: 687: 684:Tantrasamgraha 680: 678:Kriyakramakari 675: 673:Karaṇapaddhati 670: 665: 662: 657: 654: 651: 648: 645: 644:Gaṇitayuktayah 642: 639: 634: 631: 628: 620: 618: 614: 613: 611: 610: 605: 600: 595: 590: 585: 580: 575: 570: 565: 560: 555: 550: 545: 540: 535: 530: 525: 520: 515: 510: 505: 500: 495: 489: 487: 481: 480: 473: 472: 465: 458: 450: 442: 441: 402: 395: 367: 360: 337: 330: 309: 308: 306: 303: 288: 285: 280: 276: 272: 267: 263: 259: 256: 253: 248: 244: 240: 235: 231: 227: 224: 221: 216: 212: 208: 203: 199: 195: 192: 189: 184: 180: 176: 171: 167: 163: 160: 157: 154: 151: 148: 145: 142: 139: 136: 133: 130: 127: 124: 121: 118: 115: 91: 88: 26: 9: 6: 4: 3: 2: 1654: 1643: 1640: 1638: 1635: 1633: 1630: 1628: 1625: 1623: 1620: 1618: 1615: 1614: 1612: 1601: 1596: 1594: 1589: 1587: 1582: 1581: 1575: 1573: 1569: 1564: 1561: 1557: 1556: 1548: 1543: 1541: 1536: 1534: 1529: 1528: 1522: 1520: 1516: 1511: 1506: 1500: 1495: 1494: 1490: 1479: 1478: 1467: 1465: 1464: 1455: 1453: 1452: 1443: 1441: 1440: 1431: 1430: 1427: 1421: 1420: 1416: 1414: 1411: 1409: 1406: 1404: 1401: 1399: 1396: 1394: 1391: 1390: 1388: 1384: 1378: 1375: 1373: 1370: 1368: 1365: 1363: 1360: 1358: 1355: 1353: 1350: 1348: 1345: 1343: 1340: 1338: 1335: 1333: 1330: 1328: 1325: 1323: 1320: 1318: 1315: 1313: 1310: 1308: 1305: 1303: 1300: 1298: 1295: 1293: 1290: 1288: 1287:Dileep George 1285: 1283: 1280: 1278: 1275: 1274: 1272: 1268: 1262: 1259: 1257: 1254: 1252: 1249: 1247: 1244: 1242: 1239: 1237: 1234: 1232: 1229: 1227: 1224: 1222: 1219: 1217: 1214: 1212: 1209: 1207: 1204: 1202: 1199: 1197: 1194: 1192: 1189: 1187: 1184: 1182: 1179: 1177: 1174: 1172: 1169: 1167: 1164: 1162: 1159: 1157: 1154: 1152: 1149: 1147: 1144: 1142: 1139: 1137: 1134: 1132: 1129: 1127: 1124: 1122: 1119: 1117: 1114: 1112: 1109: 1108: 1106: 1102: 1096: 1093: 1091: 1088: 1086: 1083: 1081: 1078: 1076: 1073: 1071: 1068: 1066: 1063: 1061: 1058: 1056: 1053: 1051: 1048: 1046: 1043: 1041: 1038: 1036: 1033: 1031: 1028: 1026: 1023: 1021: 1018: 1016: 1013: 1011: 1008: 1007: 1005: 1003:Organizations 1001: 995: 992: 990: 987: 985: 982: 980: 977: 975: 972: 970: 967: 965: 962: 960: 957: 955: 952: 950: 947: 945: 942: 940: 937: 935: 934:Jyotirmimamsa 932: 930: 927: 925: 922: 920: 917: 915: 912: 910: 907: 905: 902: 900: 897: 895: 892: 890: 887: 886: 884: 880: 871: 866: 864: 859: 857: 852: 851: 848: 835: 832: 829: 826: 823: 822:Thrikkandiyur 820: 817: 814: 811: 808: 805: 802: 799: 796: 793: 790: 787: 784: 783: 781: 775: 769: 766: 764: 761: 759: 756: 754: 751: 749: 746: 744: 741: 739: 738:Chandravakyas 736: 735: 733: 729: 723: 720: 718: 715: 713: 710: 707: 704: 702: 699: 697: 694: 691: 688: 685: 681: 679: 676: 674: 671: 669: 666: 663: 661: 660:Jyotirmimamsa 658: 655: 652: 649: 646: 643: 640: 638: 635: 632: 629: 626: 622: 621: 619: 615: 609: 606: 604: 601: 599: 598:Udayadivākara 596: 594: 591: 589: 586: 584: 581: 579: 576: 574: 571: 569: 566: 564: 563:Nīlakaṇṭha II 561: 559: 556: 554: 551: 549: 546: 544: 541: 539: 536: 534: 531: 529: 528:Govindasvāmin 526: 524: 521: 519: 516: 514: 511: 509: 506: 504: 501: 499: 496: 494: 491: 490: 488: 482: 478: 471: 466: 464: 459: 457: 452: 451: 448: 437: 433: 428: 423: 419: 415: 414: 406: 398: 396:9780691120676 392: 388: 387:220, 319, 323 384: 381:. Princeton: 380: 379: 371: 363: 361:9788132104810 357: 353: 352: 344: 342: 333: 331:9788132104810 327: 323: 322: 314: 310: 302: 299: 286: 283: 278: 274: 270: 265: 261: 257: 254: 251: 246: 242: 238: 233: 229: 225: 222: 219: 214: 210: 206: 201: 197: 193: 190: 187: 182: 178: 174: 169: 165: 161: 158: 155: 152: 149: 146: 143: 140: 137: 134: 131: 128: 125: 122: 119: 116: 113: 102: 100: 97: 90:Contributions 87: 85: 81: 77: 72: 67: 63: 59: 55: 54:Kerala school 44: 42: 36: 32: 19: 1572:expanding it 1565: 1519:expanding it 1512: 1488: 1468: 1461: 1449: 1437: 1417: 1408:Techno-lodge 1377:Vinod Scaria 1104:Institutions 984:Sadratnamala 979:Parameshvara 894:Candravakyas 708:Spuṭanirṇaya 701:Sadratnamālā 668:Kanakkusāraṃ 608:Vidyamadhava 507: 417: 411: 405: 377: 370: 350: 320: 313: 300: 103: 96:simultaneous 93: 38: 30: 29: 1463:WikiProject 1367:Vainu Bappu 929:Jyeṣṭhadeva 836:(Haridatta) 798:Kadathanadu 538:Jyeṣṭhadeva 484:Astronomers 420:(1): 1–21, 385:. pp.  99:Diophantine 60:. He was a 31:Chitrabhanu 1611:Categories 1277:Ajit Varki 1270:Scientists 899:Citrabhanu 834:Tirunavaya 722:Yuktibhāṣā 696:Pañcabodha 637:Drigganita 633:Dasādhyāyi 603:Vararuci I 508:Citrabhānu 305:References 80:Nilakantha 41:Citrabhānu 18:Citrabhanu 1439:Templates 1040:Cyberpark 919:Haridatta 816:Peruvanam 792:Alathiyur 786:Athavanad 717:Venvaroha 641:Dṛkkaraṇa 617:Treatises 533:Haridatta 518:Devācārya 271:− 207:− 135:− 76:algebraic 62:Nambudiri 1451:Category 904:Damodara 810:Kudallur 650:Golasara 647:Golavada 436:1613702 66:Trissur 434:  393:  358:  328:  111:  71:karaṇa 1568:stub 1515:stub 391:ISBN 356:ISBN 326:ISBN 35:IAST 422:doi 47:fl. 1613:: 432:MR 430:, 418:25 416:, 389:. 340:^ 324:. 86:. 45:; 37:: 1599:e 1592:t 1585:v 1574:. 1546:e 1539:t 1532:v 1521:. 869:e 862:t 855:v 686:) 627:) 469:e 462:t 455:v 439:. 424:: 399:. 365:. 334:. 287:g 284:= 279:3 275:y 266:3 262:x 258:, 255:f 252:= 247:3 243:y 239:+ 234:3 230:x 226:, 223:e 220:= 215:2 211:y 202:2 198:x 194:, 191:d 188:= 183:2 179:y 175:+ 170:2 166:x 162:, 159:c 156:= 153:y 150:x 147:, 144:b 141:= 138:y 132:x 129:, 126:a 123:= 120:y 117:+ 114:x 33:( 20:)

Index

Citrabhanu
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

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