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Siddhānta Shiromani

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S. M. Razaullah Ansari (2019). "Persian translations of Bhāskara's Sanskrit texts and their impact in the following centuries". In K. Ramasubramanian;
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in 1150 when he was 36 years old. The work is composed in Sanskrit Language in 1450 verses.
46:: सिद्धान्त शिरोमणि for "Crown of treatises") is the major treatise of Indian mathematician 1247: 1007: 718: 686: 8: 1073: 1042: 850: 836: 773: 666: 611: 606: 560: 510: 357: 255:
Bhāskara-prabhā: Sources and Studies in the History of Mathematics and Physical Sciences
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The name of the book comes from his daughter, Līlāvatī. It is the first volume of the
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K. Ramasubramanian (2019). "The Last Combinatorial Problem in Bhāskara's Līlāvatī".
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are devoted to astronomy. All put together there are about 900 verses. (
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Shanti Swarup Bhatnagar Prize recipients in Mathematical Science
434: 33:. Use of the Pythagorean theorem in the corner. 1650 edition 893:
Infinite series expansions for the trigonometric functions
164:, and is known only from a mention in Khan's other work - 77:. The book contains thirteen chapters, 278 verses, mainly 1166: 178: 248: 1142:
Ramanujan Institute for Advanced Study in Mathematics
887: 285: 1219: 110: 1202: 381: 325: 199:The History of Mathematics: An Introduction 184: 1209: 1195: 909:Kerala school of astronomy and mathematics 388: 374: 1137:Homi Bhabha Centre for Science Education 20: 1220: 395: 196: 369: 1161: 662:Subbayya Sivasankaranarayana Pillai 13: 1122:Institute of Mathematical Sciences 14: 1274: 1132:Harish-Chandra Research Institute 642:K. R. Parthasarathy (probabilist) 351: 1258:12th-century Sanskrit literature 1165: 1238:Science and technology in India 318: 143: 1117:Chennai Mathematical Institute 486:Melpathur Narayana Bhattathiri 335:. Princeton University Press. 279: 242: 228: 214: 190: 88: 1: 201:(7th ed.), McGraw Hill, 171: 1263:History of mathematics stubs 1181:. You can help Knowledge by 1107:Indian Statistical Institute 298:10.1007/978-981-13-1229-8_30 263:10.1007/978-981-13-6034-3_18 253:; Clemency Montelle (eds.). 148:In 1797, Safdar Ali Khan of 7: 1127:Indian Institute of Science 1112:Bhaskaracharya Pratishthana 990:A. A. Krishnaswamy Ayyangar 955:Shankar Balakrishna Dikshit 882:Hindu–Arabic numeral system 160:. The translation is now a 99:It is the second volume of 62: 10: 1279: 1160: 622:Subrahmanyan Chandrasekhar 92: 66: 1097: 1061: 1035: 939: 901: 867: 704: 632:Veeravalli S. Varadarajan 599: 458: 412: 403: 292:. Springer. p. 291. 197:Burton, David M. (2011), 1048:Henry Thomas Colebrooke 637:S. R. Srinivasa Varadhan 57: 1233:Social history of India 1173:This article about the 521:Mādhava of Saṅgamagrāma 1253:Indian astronomy texts 1175:history of mathematics 34: 29:, the first volume of 732:Brāhmasphuṭasiddhānta 236:"BHASKAR'S ASTRONOMY" 24: 1008:T. A. Saraswati Amma 719:Bakhshali manuscript 687:Kannan Soundararajan 332:Mathematics in India 1084:Islamic mathematics 1043:Walter Eugene Clark 837:Vasishtha Siddhanta 809:Siddhānta Shiromani 788:Paitamaha Siddhanta 667:Tilak Raj Prabhakar 612:Satyendra Nath Bose 607:Srinivasa Ramanujan 561:Nilakantha Somayaji 154:Siddhanta Shiromani 16:Book by Bhaskara II 1243:History of algebra 1228:Indian mathematics 576:Gangesha Upadhyaya 397:Indian mathematics 130:Siddhānta Śiromaṇi 101:Siddhānta Śiromaṇi 75:Siddhānta Śiromaṇi 52:Siddhānta Śiromaṇi 39:Siddhānta Śiromaṇi 35: 31:Siddhānta Śiromaṇī 1190: 1189: 1155: 1154: 961:Sudhakara Dvivedi 781:Paulisa Siddhanta 700: 699: 556:Jagannatha Samrat 551:Achyuta Pisharati 208:978-0-07-338315-6 140:has 501 verses). 1270: 1211: 1204: 1197: 1169: 1162: 795:Romaka Siddhanta 677:Akshay Venkatesh 647:M. S. Narasimhan 617:P.C. Mahalanobis 410: 409: 390: 383: 376: 367: 366: 346: 312: 311: 283: 277: 276: 246: 240: 239: 232: 226: 225: 222:"khagol Maandal" 218: 212: 211: 194: 188: 185:Kim Plofker 2009 182: 156:into Persian as 1278: 1277: 1273: 1272: 1271: 1269: 1268: 1267: 1218: 1217: 1216: 1215: 1158: 1156: 1151: 1099: 1093: 1057: 1031: 1002:C. T. Rajagopal 949:Bapudeva Sastri 941: 935: 897: 877:Brahmi numerals 869: 863: 823:Surya Siddhanta 696: 672:Manjul Bhargava 595: 454: 399: 394: 358:Scan of reprint 354: 349: 343: 321: 316: 315: 308: 284: 280: 273: 247: 243: 234: 233: 229: 220: 219: 215: 209: 195: 191: 183: 179: 174: 152:translated the 146: 119: 97: 91: 71: 65: 60: 50:. He wrote the 17: 12: 11: 5: 1276: 1266: 1265: 1260: 1255: 1250: 1245: 1240: 1235: 1230: 1214: 1213: 1206: 1199: 1191: 1188: 1187: 1170: 1153: 1152: 1150: 1149: 1144: 1139: 1134: 1129: 1124: 1119: 1114: 1109: 1103: 1101: 1095: 1094: 1092: 1091: 1086: 1081: 1076: 1071: 1065: 1063: 1059: 1058: 1056: 1055: 1050: 1045: 1039: 1037: 1033: 1032: 1030: 1029: 1023: 1017: 1011: 1005: 999: 993: 987: 982: 976: 973:P. C. Sengupta 970: 964: 958: 952: 945: 943: 937: 936: 934: 933: 911: 905: 903: 899: 898: 896: 895: 890: 884: 879: 873: 871: 865: 864: 862: 861: 854: 847: 840: 833: 830:Tantrasamgraha 826: 819: 812: 805: 798: 791: 784: 777: 770: 763: 756: 753:Karanapaddhati 749: 742: 739:Ganita Kaumudi 735: 728: 721: 716: 708: 706: 702: 701: 698: 697: 695: 694: 689: 684: 679: 674: 669: 664: 659: 657:Harish-Chandra 654: 652:C. S. Seshadri 649: 644: 639: 634: 629: 624: 619: 614: 609: 603: 601: 597: 596: 594: 593: 588: 586:Sankara Variar 583: 578: 573: 568: 563: 558: 553: 548: 543: 538: 533: 528: 523: 518: 513: 508: 503: 498: 493: 488: 483: 478: 473: 468: 462: 460: 456: 455: 453: 452: 447: 442: 437: 432: 427: 422: 416: 414: 407: 405:Mathematicians 401: 400: 393: 392: 385: 378: 370: 364: 363: 361:A 1917 edition 353: 352:External links 350: 348: 347: 341: 322: 320: 317: 314: 313: 306: 278: 271: 241: 227: 213: 207: 189: 176: 175: 173: 170: 158:Zij-i Sarumani 145: 142: 118: 109: 93:Main article: 90: 87: 67:Main article: 64: 61: 59: 56: 15: 9: 6: 4: 3: 2: 1275: 1264: 1261: 1259: 1256: 1254: 1251: 1249: 1246: 1244: 1241: 1239: 1236: 1234: 1231: 1229: 1226: 1225: 1223: 1212: 1207: 1205: 1200: 1198: 1193: 1192: 1186: 1184: 1180: 1176: 1171: 1168: 1164: 1163: 1159: 1148: 1145: 1143: 1140: 1138: 1135: 1133: 1130: 1128: 1125: 1123: 1120: 1118: 1115: 1113: 1110: 1108: 1105: 1104: 1102: 1096: 1090: 1087: 1085: 1082: 1080: 1077: 1075: 1072: 1070: 1067: 1066: 1064: 1062:Other regions 1060: 1054: 1053:David Pingree 1051: 1049: 1046: 1044: 1041: 1040: 1038: 1034: 1027: 1024: 1021: 1018: 1015: 1012: 1009: 1006: 1003: 1000: 997: 994: 991: 988: 986: 983: 980: 977: 974: 971: 968: 967:M. Rangacarya 965: 962: 959: 956: 953: 950: 947: 946: 944: 940:Historians of 938: 931: 927: 923: 919: 915: 914:Jantar Mantar 912: 910: 907: 906: 904: 900: 894: 891: 889: 885: 883: 880: 878: 875: 874: 872: 866: 860: 859: 855: 853: 852: 848: 846: 845: 841: 839: 838: 834: 832: 831: 827: 825: 824: 820: 818: 817: 813: 811: 810: 806: 804: 803: 799: 797: 796: 792: 790: 789: 785: 783: 782: 778: 776: 775: 771: 769: 768: 764: 762: 761: 757: 755: 754: 750: 748: 747: 743: 741: 740: 736: 734: 733: 729: 727: 726: 722: 720: 717: 715: 714: 710: 709: 707: 703: 693: 690: 688: 685: 683: 680: 678: 675: 673: 670: 668: 665: 663: 660: 658: 655: 653: 650: 648: 645: 643: 640: 638: 635: 633: 630: 628: 625: 623: 620: 618: 615: 613: 610: 608: 605: 604: 602: 598: 592: 589: 587: 584: 582: 579: 577: 574: 572: 569: 567: 564: 562: 559: 557: 554: 552: 549: 547: 544: 542: 539: 537: 534: 532: 531:Mahendra Sūri 529: 527: 524: 522: 519: 517: 514: 512: 509: 507: 504: 502: 499: 497: 494: 492: 489: 487: 484: 482: 479: 477: 474: 472: 469: 467: 464: 463: 461: 457: 451: 448: 446: 443: 441: 438: 436: 433: 431: 428: 426: 423: 421: 418: 417: 415: 411: 408: 406: 402: 398: 391: 386: 384: 379: 377: 372: 371: 368: 362: 359: 356: 355: 344: 342:9780691120676 338: 334: 333: 328: 324: 323: 309: 307:9789811312298 303: 299: 295: 291: 290: 282: 274: 272:9789811360343 268: 264: 260: 256: 252: 251:Takao Hayashi 245: 237: 231: 223: 217: 210: 204: 200: 193: 187:, p. 71. 186: 181: 177: 169: 167: 166:Zij-i Safdari 163: 159: 155: 151: 141: 139: 135: 131: 127: 123: 117: 113: 108: 106: 102: 96: 86: 84: 80: 76: 70: 55: 53: 49: 45: 41: 40: 32: 28: 23: 19: 1183:expanding it 1172: 1157: 1100:institutions 1020:K. S. Shukla 992:(1892– 1953) 858:Yavanajataka 856: 849: 842: 835: 828: 821: 816:Śulba Sūtras 814: 808: 807: 802:Sadratnamala 800: 793: 786: 779: 772: 765: 758: 751: 746:Kanakkusaram 744: 737: 730: 723: 711: 581:Varāhamihira 546:Parameshvara 501:Govindasvāmi 471:Āryabhaṭa II 331: 319:Bibliography 288: 281: 254: 244: 230: 216: 198: 192: 180: 165: 157: 153: 147: 144:Translations 137: 136:has 451 and 134:Gaṇitādhyāya 133: 129: 125: 122:Gaṇitādhyāya 121: 120: 115: 112:Gaṇitādhyāya 111: 100: 98: 74: 72: 51: 38: 37: 36: 30: 26: 18: 1248:1150s books 1036:Translators 1028:(1919–2005) 1026:K. V. Sarma 1022:(1918–2007) 1016:(1918–1992) 1010:(1918–2000) 1004:(1903–1978) 998:(1901–1954) 996:A. N. Singh 981:(1888–1958) 979:B. B. Datta 975:(1876–1962) 969:(1861–1916) 963:(1855–1910) 957:(1853–1898) 951:(1821–1900) 942:mathematics 886:Symbol for 870:innovations 767:Lokavibhaga 713:Aryabhatiya 511:Jyeṣṭhadeva 496:Brahmagupta 481:Bhāskara II 466:Āryabhaṭa I 450:Yajnavalkya 327:Kim Plofker 289:Gaṇitānanda 89:Beejagaṇita 83:measurement 48:Bhāskara II 1222:Categories 985:T. Hayashi 868:Pioneering 851:Yuktibhāṣā 774:Pātīgaṇita 725:Bijaganita 682:Ravi Vakil 536:Munishvara 516:Kamalakara 491:Brahmadeva 476:Bhāskara I 425:Baudhayana 172:References 138:Golādhyāya 126:Golādhyāya 116:Golādhyāya 95:Bijaganita 79:arithmetic 25:Page from 1014:S. N. Sen 922:New Delhi 844:Veṇvāroha 705:Treatises 506:Halayudha 459:Classical 430:Katyayana 420:Apastamba 162:lost work 150:Hyderabad 930:Varanasi 888:zero (0) 760:Līlāvatī 627:C.R. Rao 591:Virasena 571:Sridhara 541:Narayana 526:Mahāvīra 329:(2009). 69:Līlāvatī 63:Līlāvatī 44:Sanskrit 27:Lilavati 1069:Babylon 902:Centres 566:Śrīpati 445:Pingala 413:Ancient 105:algebra 1098:Modern 1089:Europe 1079:Greece 926:Ujjain 918:Jaipur 600:Modern 440:Pāṇini 435:Manava 339:  304:  269:  205:  1177:is a 1074:China 58:Parts 1179:stub 1147:TIFR 337:ISBN 302:ISBN 267:ISBN 203:ISBN 124:and 114:and 81:and 294:doi 259:doi 128:of 1224:: 928:, 924:, 920:, 300:. 265:. 168:. 107:. 85:. 1210:e 1203:t 1196:v 1185:. 932:) 916:( 389:e 382:t 375:v 345:. 310:. 296:: 275:. 261:: 238:. 224:. 42:(

Index


Sanskrit
Bhāskara II
Līlāvatī
arithmetic
measurement
Bijaganita
algebra
Hyderabad
lost work
Kim Plofker 2009
ISBN
978-0-07-338315-6
"khagol Maandal"
"BHASKAR'S ASTRONOMY"
Takao Hayashi
doi
10.1007/978-981-13-6034-3_18
ISBN
9789811360343
Gaṇitānanda
doi
10.1007/978-981-13-1229-8_30
ISBN
9789811312298
Kim Plofker
Mathematics in India
ISBN
9780691120676
Scan of reprint

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