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Kanakkusaram

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45:, composed in pure Malayalam and published in the middle of the sixteenth century, is an advanced text on mathematics and astronomy addressed to the advanced students and scholars of mathematics. The book is composed in verses and it also contains a commentary both in Manipravalam language. In the book, the author has claimed that the work is based on Sanskrit texts like Bhaskara II's 66:. Both have been published by Government Oriental Manuscript Library, Madras (Chennai) in 1950 critically edited with introductions by C. Achyutha Menon. There are some differences in content between the two versions. According to Achyutha Menon the versions are likely to be of different authorship though both might have borrowed material from a common source. 40:
and methods for solving arithmetical problems arising in the everyday life of members of an agricultural community. The book was composed by one Nīlakṇṭha; but other than the name, nothing more definite is known about the author. The date of composition of the book has also not been determined. The
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had no division into chapters. It was one continuous text from beginning to end. However, at the time of publication of the work by Government Oriental Manuscript Library, the editor of the book C. Achyutha Menon divided it into chapters based on the nature of contents.
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significance of the work is that it was composed in a variant of the local vernacular language addressing the needs of ordinary people and it is one of the earliest such work in Malayalam. In comparison,
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Chapter 6: Calculations in respect of timber, wages for spade work, grain transactions, house building, land tenure, masonry, ground measurement
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Chapter 1: Names for numbers less than one and greater than one; measurements of volume, weight, time
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Kerala Sahithya Charithram (History of Literature in Kerala) Vol. II
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There are two versions of the work: one of them is titled simply
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Shanti Swarup Bhatnagar Prize recipients in Mathematical Science
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Infinite series expansions for the trigonometric functions
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Ramanujan Institute for Advanced Study in Mathematics
1184: 203:A History of the Kerala School of Hindu Astronomy 1456: 51:and older Malayalam texts on mathematics like 678: 278: 74:The original manuscripts of both versions of 249: 199: 1465:Kerala school of astronomy and mathematics 1206:Kerala school of astronomy and mathematics 685: 671: 294:Kerala school of astronomy and mathematics 285: 271: 98:Chapter 5: Calculations in respect of gold 1434:Homi Bhabha Centre for Science Education 195: 193: 1457: 692: 666: 635:(Mahishamangalam Sankaran Namputhiri) 266: 114:are available for free download from 225:Ulloor S. Paramesvara Ayyar (1954). 190: 959:Subbayya Sivasankaranarayana Pillai 13: 1419:Institute of Mathematical Sciences 95:Chapter 4: Rules of seven and nine 25:(a hybrid language which combines 14: 1501: 1429:Harish-Chandra Research Institute 939:K. R. Parthasarathy (probabilist) 370:Mazhamaṅgalaṃ Nārāyaṇan Naṃpūtiri 105: 1490:Science and technology in Kerala 21:is a comprehensive treatise in 1414:Chennai Mathematical Institute 783:Melpathur Narayana Bhattathiri 243: 218: 1: 252:Prācīna Ganitaṁ Malayḷālattil 183: 1404:Indian Statistical Institute 499:Laghuvivṛti (commentary on 144:Kanakkusaram (Balaprabodham) 64:Kaṇakkusāraṃ (Bālaprabodhaṃ) 7: 1424:Indian Institute of Science 1409:Bhaskaracharya Pratishthana 1287:A. A. Krishnaswamy Ayyangar 1252:Shankar Balakrishna Dikshit 1179:Hindu–Arabic numeral system 621:Mahodayapuram (Kodungallur) 410:Śaṅkara Varma of Kaṭattanāṭ 161: 88:Rule of three (mathematics) 69: 10: 1506: 919:Subrahmanyan Chandrasekhar 641:(Nilakantha Somayaji, etc) 611:(Govinda Bhattathiri, etc) 570:Madhava's correction terms 256:(the work is in Malayalam) 62:while the other is titled 1394: 1358: 1332: 1236: 1198: 1164: 1001: 929:Veeravalli S. Varadarajan 896: 755: 709: 700: 629:(Madhava of Sangamagrama) 605:(Azhvanchery Thamprakkal) 593: 547: 433: 395:Śaṅkara of Mahiṣamaṅgalam 300: 1345:Henry Thomas Colebrooke 934:S. R. Srinivasa Varadhan 647:(Putumana Somayaji, etc) 385:Parameśvara of Vațaśśeri 818:Mādhava of Saṅgamagrāma 365:Madhava of Sangamagrama 92:Chapter 3: Rule of five 1475:History of mathematics 594:Places associated with 509:Mahābhāskarīya Bhāshya 1029:Brāhmasphuṭasiddhānta 596:members of the school 506:Madhyamanayanaprakara 481:Jyotiśśāstra-saṃgraha 473:Jātaka-sāara-saṃgraha 470:Grahacāraṇinibandhana 440:Aryabhatiya-bhashya ( 330:Dāmodara of Vațaśreņi 320:Azhvāñceri Taṃprākkaḷ 250:C. K. Moosad (1980). 1305:T. A. Saraswati Amma 1016:Bakhshali manuscript 984:Kannan Soundararajan 645:Sivapuram (Thrissur) 580:Madhava's sine table 200:K. V. Sarma (1972). 1381:Islamic mathematics 1340:Walter Eugene Clark 1134:Vasishtha Siddhanta 1106:Siddhānta Shiromani 1085:Paitamaha Siddhanta 964:Tilak Raj Prabhakar 909:Satyendra Nath Bose 904:Srinivasa Ramanujan 858:Nilakantha Somayaji 442:Nīlakaņțha Sōmayāji 375:Nīlakaņțha Sōmayāji 340:Govinda Bhattathiri 1470:Indian mathematics 873:Gangesha Upadhyaya 694:Indian mathematics 360:Kochukrishnan Asan 303:and mathematicians 1480:History of Kerala 1452: 1451: 1258:Sudhakara Dvivedi 1078:Paulisa Siddhanta 997: 996: 853:Jagannatha Samrat 848:Achyuta Pisharati 660: 659: 623:(Sankaranarayana) 565:Kaṭapayādi system 560:Drigganita system 447:Candrachayaganita 400:Putumana Somayāji 168:Asthana Kolahalam 110:Both versions of 1497: 1092:Romaka Siddhanta 974:Akshay Venkatesh 944:M. S. Narasimhan 914:P.C. Mahalanobis 707: 706: 687: 680: 673: 664: 663: 617:(Sankara Varman) 522:Sidhhantadarpana 287: 280: 273: 264: 263: 257: 255: 247: 241: 240: 238: 236: 222: 216: 215: 213: 211: 197: 156: 154: 152: 137: 135: 133: 116:Internet Archive 1505: 1504: 1500: 1499: 1498: 1496: 1495: 1494: 1485:Medieval Kerala 1455: 1454: 1453: 1448: 1396: 1390: 1354: 1328: 1299:C. T. Rajagopal 1246:Bapudeva Sastri 1238: 1232: 1194: 1174:Brahmi numerals 1166: 1160: 1120:Surya Siddhanta 993: 969:Manjul Bhargava 892: 751: 696: 691: 661: 656: 595: 589: 585:Parahita system 548:Concepts/Topics 543: 429: 405:Śankara Vāriyar 390:Śaṅkaranārāyaṇa 315:Acyuta Piṣāraṭi 310:(Complete list) 302: 296: 291: 261: 260: 248: 244: 234: 232: 223: 219: 209: 207: 198: 191: 186: 164: 150: 148: 141: 131: 129: 122: 108: 72: 53:Kaṇakkadhikāraṃ 12: 11: 5: 1503: 1493: 1492: 1487: 1482: 1477: 1472: 1467: 1450: 1449: 1447: 1446: 1441: 1436: 1431: 1426: 1421: 1416: 1411: 1406: 1400: 1398: 1392: 1391: 1389: 1388: 1383: 1378: 1373: 1368: 1362: 1360: 1356: 1355: 1353: 1352: 1347: 1342: 1336: 1334: 1330: 1329: 1327: 1326: 1320: 1314: 1308: 1302: 1296: 1290: 1284: 1279: 1273: 1270:P. C. Sengupta 1267: 1261: 1255: 1249: 1242: 1240: 1234: 1233: 1231: 1230: 1208: 1202: 1200: 1196: 1195: 1193: 1192: 1187: 1181: 1176: 1170: 1168: 1162: 1161: 1159: 1158: 1151: 1144: 1137: 1130: 1127:Tantrasamgraha 1123: 1116: 1109: 1102: 1095: 1088: 1081: 1074: 1067: 1060: 1053: 1050:Karanapaddhati 1046: 1039: 1036:Ganita Kaumudi 1032: 1025: 1018: 1013: 1005: 1003: 999: 998: 995: 994: 992: 991: 986: 981: 976: 971: 966: 961: 956: 954:Harish-Chandra 951: 949:C. S. Seshadri 946: 941: 936: 931: 926: 921: 916: 911: 906: 900: 898: 894: 893: 891: 890: 885: 883:Sankara Variar 880: 875: 870: 865: 860: 855: 850: 845: 840: 835: 830: 825: 820: 815: 810: 805: 800: 795: 790: 785: 780: 775: 770: 765: 759: 757: 753: 752: 750: 749: 744: 739: 734: 729: 724: 719: 713: 711: 704: 702:Mathematicians 698: 697: 690: 689: 682: 675: 667: 658: 657: 655: 654: 648: 642: 636: 630: 624: 618: 612: 606: 599: 597: 591: 590: 588: 587: 582: 577: 575:Madhava series 572: 567: 562: 557: 551: 549: 545: 544: 542: 541: 536: 531: 529:Tantrasamgraha 526: 523: 520: 515: 510: 507: 504: 501:Tantrasamgraha 497: 495:Kriyakramakari 492: 490:Karaṇapaddhati 487: 482: 479: 474: 471: 468: 465: 462: 461:Gaṇitayuktayah 459: 456: 451: 448: 445: 437: 435: 431: 430: 428: 427: 422: 417: 412: 407: 402: 397: 392: 387: 382: 377: 372: 367: 362: 357: 352: 347: 342: 337: 332: 327: 322: 317: 312: 306: 304: 298: 297: 290: 289: 282: 275: 267: 259: 258: 242: 217: 188: 187: 185: 182: 181: 180: 178:Kaṇakkatikāram 175: 173:Kaṇita Tīpikai 170: 163: 160: 159: 158: 139: 107: 106:External links 104: 103: 102: 99: 96: 93: 90: 84: 71: 68: 32:and Malayalam 9: 6: 4: 3: 2: 1502: 1491: 1488: 1486: 1483: 1481: 1478: 1476: 1473: 1471: 1468: 1466: 1463: 1462: 1460: 1445: 1442: 1440: 1437: 1435: 1432: 1430: 1427: 1425: 1422: 1420: 1417: 1415: 1412: 1410: 1407: 1405: 1402: 1401: 1399: 1393: 1387: 1384: 1382: 1379: 1377: 1374: 1372: 1369: 1367: 1364: 1363: 1361: 1359:Other regions 1357: 1351: 1350:David Pingree 1348: 1346: 1343: 1341: 1338: 1337: 1335: 1331: 1324: 1321: 1318: 1315: 1312: 1309: 1306: 1303: 1300: 1297: 1294: 1291: 1288: 1285: 1283: 1280: 1277: 1274: 1271: 1268: 1265: 1264:M. Rangacarya 1262: 1259: 1256: 1253: 1250: 1247: 1244: 1243: 1241: 1237:Historians of 1235: 1228: 1224: 1220: 1216: 1212: 1211:Jantar Mantar 1209: 1207: 1204: 1203: 1201: 1197: 1191: 1188: 1186: 1182: 1180: 1177: 1175: 1172: 1171: 1169: 1163: 1157: 1156: 1152: 1150: 1149: 1145: 1143: 1142: 1138: 1136: 1135: 1131: 1129: 1128: 1124: 1122: 1121: 1117: 1115: 1114: 1110: 1108: 1107: 1103: 1101: 1100: 1096: 1094: 1093: 1089: 1087: 1086: 1082: 1080: 1079: 1075: 1073: 1072: 1068: 1066: 1065: 1061: 1059: 1058: 1054: 1052: 1051: 1047: 1045: 1044: 1040: 1038: 1037: 1033: 1031: 1030: 1026: 1024: 1023: 1019: 1017: 1014: 1012: 1011: 1007: 1006: 1004: 1000: 990: 987: 985: 982: 980: 977: 975: 972: 970: 967: 965: 962: 960: 957: 955: 952: 950: 947: 945: 942: 940: 937: 935: 932: 930: 927: 925: 922: 920: 917: 915: 912: 910: 907: 905: 902: 901: 899: 895: 889: 886: 884: 881: 879: 876: 874: 871: 869: 866: 864: 861: 859: 856: 854: 851: 849: 846: 844: 841: 839: 836: 834: 831: 829: 828:Mahendra Sūri 826: 824: 821: 819: 816: 814: 811: 809: 806: 804: 801: 799: 796: 794: 791: 789: 786: 784: 781: 779: 776: 774: 771: 769: 766: 764: 761: 760: 758: 754: 748: 745: 743: 740: 738: 735: 733: 730: 728: 725: 723: 720: 718: 715: 714: 712: 708: 705: 703: 699: 695: 688: 683: 681: 676: 674: 669: 668: 665: 652: 649: 646: 643: 640: 639:Thrikkandiyur 637: 634: 631: 628: 625: 622: 619: 616: 613: 610: 607: 604: 601: 600: 598: 592: 586: 583: 581: 578: 576: 573: 571: 568: 566: 563: 561: 558: 556: 555:Chandravakyas 553: 552: 550: 546: 540: 537: 535: 532: 530: 527: 524: 521: 519: 516: 514: 511: 508: 505: 502: 498: 496: 493: 491: 488: 486: 483: 480: 478: 477:Jyotirmimamsa 475: 472: 469: 466: 463: 460: 457: 455: 452: 449: 446: 443: 439: 438: 436: 432: 426: 423: 421: 418: 416: 415:Udayadivākara 413: 411: 408: 406: 403: 401: 398: 396: 393: 391: 388: 386: 383: 381: 380:Nīlakaṇṭha II 378: 376: 373: 371: 368: 366: 363: 361: 358: 356: 353: 351: 348: 346: 345:Govindasvāmin 343: 341: 338: 336: 333: 331: 328: 326: 323: 321: 318: 316: 313: 311: 308: 307: 305: 299: 295: 288: 283: 281: 276: 274: 269: 268: 265: 253: 246: 230: 229: 221: 205: 204: 196: 194: 189: 179: 176: 174: 171: 169: 166: 165: 146: 145: 140: 127: 126: 121: 120: 119: 117: 113: 100: 97: 94: 91: 89: 85: 82: 81: 80: 77: 67: 65: 61: 56: 54: 50: 49: 44: 39: 35: 34:morpho-syntax 31: 28: 24: 20: 19: 1397:institutions 1317:K. S. Shukla 1289:(1892– 1953) 1155:Yavanajataka 1153: 1146: 1139: 1132: 1125: 1118: 1113:Śulba Sūtras 1111: 1104: 1099:Sadratnamala 1097: 1090: 1083: 1076: 1069: 1062: 1055: 1048: 1043:Kanakkusaram 1042: 1041: 1034: 1027: 1020: 1008: 878:Varāhamihira 843:Parameshvara 798:Govindasvāmi 768:Āryabhaṭa II 525:Spuṭanirṇaya 518:Sadratnamālā 485:Kanakkusāraṃ 484: 425:Vidyamadhava 379: 251: 245: 233:. Retrieved 227: 220: 208:. Retrieved 202: 149:. Retrieved 143: 130:. Retrieved 125:Kanakkusaram 124: 112:Kaṇakkusāraṃ 111: 109: 76:Kaṇakkusāraṃ 75: 73: 63: 60:Kaṇakkusāraṃ 59: 57: 52: 46: 23:Manipravalam 18:Kaṇakkusāraṃ 17: 16: 15: 1333:Translators 1325:(1919–2005) 1323:K. V. Sarma 1319:(1918–2007) 1313:(1918–1992) 1307:(1918–2000) 1301:(1903–1978) 1295:(1901–1954) 1293:A. N. Singh 1278:(1888–1958) 1276:B. B. Datta 1272:(1876–1962) 1266:(1861–1916) 1260:(1855–1910) 1254:(1853–1898) 1248:(1821–1900) 1239:mathematics 1183:Symbol for 1167:innovations 1064:Lokavibhaga 1010:Aryabhatiya 808:Jyeṣṭhadeva 793:Brahmagupta 778:Bhāskara II 763:Āryabhaṭa I 747:Yajnavalkya 653:(Haridatta) 615:Kadathanadu 355:Jyeṣṭhadeva 301:Astronomers 235:12 December 210:12 December 151:12 December 132:12 December 86:Chapter 2: 43:Yuktibhasha 1459:Categories 1282:T. Hayashi 1165:Pioneering 1148:Yuktibhāṣā 1071:Pātīgaṇita 1022:Bijaganita 979:Ravi Vakil 833:Munishvara 813:Kamalakara 788:Brahmadeva 773:Bhāskara I 722:Baudhayana 651:Tirunavaya 539:Yuktibhāṣā 513:Pañcabodha 454:Drigganita 450:Dasādhyāyi 420:Vararuci I 325:Citrabhānu 184:References 38:arithmetic 1311:S. N. Sen 1219:New Delhi 1141:Veṇvāroha 1002:Treatises 803:Halayudha 756:Classical 727:Katyayana 717:Apastamba 633:Peruvanam 609:Alathiyur 603:Athavanad 534:Venvaroha 458:Dṛkkaraṇa 434:Treatises 350:Haridatta 335:Devācārya 1227:Varanasi 1185:zero (0) 1057:Līlāvatī 924:C.R. Rao 888:Virasena 868:Sridhara 838:Narayana 823:Mahāvīra 627:Kudallur 467:Golasara 464:Golavada 162:See also 70:Contents 48:Līlāvatī 27:Sanskrit 1366:Babylon 1199:Centres 863:Śrīpati 742:Pingala 710:Ancient 30:lexicon 1395:Modern 1386:Europe 1376:Greece 1223:Ujjain 1215:Jaipur 897:Modern 737:Pāṇini 732:Manava 1371:China 1444:TIFR 237:2023 212:2023 153:2023 134:2023 1461:: 1225:, 1221:, 1217:, 192:^ 118:. 55:. 1229:) 1213:( 686:e 679:t 672:v 503:) 444:) 286:e 279:t 272:v 239:. 214:. 155:. 136:.

Index

Manipravalam
Sanskrit
lexicon
morpho-syntax
arithmetic
Yuktibhasha
Līlāvatī
Rule of three (mathematics)
Internet Archive
Kanakkusaram
Kanakkusaram (Balaprabodham)
Asthana Kolahalam
Kaṇita Tīpikai
Kaṇakkatikāram


A History of the Kerala School of Hindu Astronomy
Kerala Sahithya Charithram (History of Literature in Kerala) Vol. II
v
t
e
Kerala school of astronomy and mathematics
(Complete list)
Acyuta Piṣāraṭi
Azhvāñceri Taṃprākkaḷ
Citrabhānu
Dāmodara of Vațaśreņi
Devācārya
Govinda Bhattathiri
Govindasvāmin

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