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Līlāvatī

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would sink at the beginning of the propitious hour. He put the device in a room with a warning to Lilavati to not go near it. In her curiosity, though, she went to look at the device. A pearl from her bridal dress accidentally dropped into it, thus upsetting it. The auspicious moment for the wedding thus passed unnoticed leaving Bhaskara II devastated. Thus, he promised his daughter to write a book in her name, one that would remain till the end of time as a good name is akin to a second life.
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Many of the problems are addressed to Līlāvatī herself, who must have been a very bright young woman. For example "Oh Līlāvatī, intelligent girl, if you understand addition and subtraction, tell me the sum of the amounts 2, 5, 32, 193, 18, 10, and 100, as well as those when subtracted from 10000."
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and predicted that she would remain both childless and unmarried. To avoid this fate, he ascertained an auspicious moment for his daughter's wedding. To alert his daughter at the correct time, he placed a cup with a small hole at the bottom of a vessel filled with water, arranged so that the cup
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includes a number of methods of computing numbers such as multiplications, squares, and progressions, with examples using kings and elephants, objects which a common man could understand.
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Līlāvatī of Bhāskarācārya: a treatise of mathematics of Vedic tradition : with rationale in terms of modern mathematics largely based on N.H. Phadke's Marāthī translation of Līlāvatī
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Joy and happiness is indeed ever increasing in this world for those who have Lilavati clasped to their throats, decorated as the members are with neat reduction of
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A problem from the Lilavati by Bhaskaracharya. Written in the 12th century. This appeared on page 18 of The Mathematical Mystery Tour by UNESCO in 1989.
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is the subject of interesting legends that assert that it was written for his daughter, Lilavati. As the story goes, the author had studied Lilavati's
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11th century: Eluganti Pedana ( ఎలుగంటి పెద్దన) translated Lilavati into Telugu. The work is called Prakīrna Ganitamu( ప్రకిర్ణ గణితము).
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1936. Pidaparti Krishnamurti Sastry translated the work into Telugu language and it was published by Srividya press, Vizianagaram.
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by separate parts and by separate digits. And tell , beautiful one, how much is that product divided by the same multiplier?"
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itself means playful or one possessing play (from Sanskrit, Līlā = play, -vatī = female possessing the quality).
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Algebra, with Arithmetic and mensuration, from the Sanscrit of Brahmegupta and Bháscara, Page 24, chap 2/3
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and "Fawn-eyed child Līlāvatī, tell me, how much is the number 135 multiplied by 12, if you understand
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The book contains thirteen chapters, mainly definitions, arithmetical terms, interest computation,
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Bhaskaracharya's work 'Lilavati' was translated into Persian(फारसी) by-( Abul Faizi-in 1587 ).
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The translations or editions of the Lilavati into English and other languages include:
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on mathematics, written in 1150 AD. It is the first volume of his main work, the
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Bakul Kayastha from medieval Assam (1400CE) made Assamese rendering of Lilavati.
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Lilawati: or A Treatise on Arithmetic or Geometry by Bhascara Acharya
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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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2001. K. S. Patwardhan, S. A. Naimpally and S. L. Singh.
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Ramanujan Institute for Advanced Study in Mathematics
975: 309: 297: 359:Census of the Exact Sciences in Sanskrit Series A 1247: 326: 324: 255:, Hoshiarpur: VVBIS & IS, Panjab University 234:1842. Amichandra Shravaga of Jaipur translated 372: 469: 352: 321: 997:Kerala school of astronomy and mathematics 476: 462: 424:Scientific heritage of India, mathematics 1225:Homi Bhabha Centre for Science Education 203:Telugu translation of Lilavati Ganitamu. 198: 159:The young woman saved one third of them. 59: 421: 401: 315: 303: 165:How many pearls were there altogether? 133:equal to one hundred thousand billion. 1248: 483: 163:If six pearls remained upon the string 33:is a treatise by Indian mathematician 457: 16:Mathematical treatise by Bhāskara II 151:Whilst making love a necklace broke. 750:Subbayya Sivasankaranarayana Pillai 161:One tenth were caught by her lover. 13: 1210:Institute of Mathematical Sciences 14: 1287: 1220:Harish-Chandra Research Institute 730:K. R. Parthasarathy (probabilist) 431: 1276:12th-century Sanskrit literature 285:Timeline of algebra and geometry 121:, the shadow of the gnomon, the 1266:Science and technology in India 250:Līlāvatī of Bhāskarācārya with 194: 170:Bhaskaracharya's conclusion to 1205:Chennai Mathematical Institute 574:Melpathur Narayana Bhattathiri 408:, Princeton University Press, 395: 366: 346: 1: 290: 1195:Indian Statistical Institute 422:Poulose, K. G., ed. (1991), 155:One sixth fell to the floor. 7: 1215:Indian Institute of Science 1200:Bhaskaracharya Pratishthana 1078:A. A. Krishnaswamy Ayyangar 1043:Shankar Balakrishna Dikshit 970:Hindu–Arabic numeral system 273: 100: 23:Leelavathi (disambiguation) 10: 1292: 710:Subrahmanyan Chandrasekhar 438:Bhaskaracharya's Lilavathi 20: 1185: 1149: 1123: 1027: 989: 955: 792: 720:Veeravalli S. Varadarajan 687: 546: 500: 491: 1136:Henry Thomas Colebrooke 725:S. R. Srinivasa Varadhan 153:A row of pearls mislaid. 1261:Social history of India 609:Mādhava of Saṅgamagrāma 373:Bhaskaracharya (1936). 224:Henry Thomas Colebrooke 157:One fifth upon the bed. 127:indeterminate equations 68: 204: 192: 168: 73:Bhaskara II's book on 65: 820:Brāhmasphuṭasiddhānta 402:Plofker, Kim (2009), 202: 176: 148: 63: 1096:T. A. Saraswati Amma 807:Bakhshali manuscript 775:Kannan Soundararajan 405:Mathematics in India 334:. The Indian Express 125:- a method to solve 21:For other uses, see 1172:Islamic mathematics 1131:Walter Eugene Clark 925:Vasishtha Siddhanta 897:Siddhānta Shiromani 876:Paitamaha Siddhanta 755:Tilak Raj Prabhakar 700:Satyendra Nath Bose 695:Srinivasa Ramanujan 649:Nilakantha Somayaji 211:1816. John Taylor, 40:Siddhānta Shiromani 1271:12th-century books 1256:Indian mathematics 664:Gangesha Upadhyaya 485:Indian mathematics 332:"Pearls of Wisdom" 280:Indian mathematics 205: 66: 1243: 1242: 1049:Sudhakara Dvivedi 869:Paulisa Siddhanta 788: 787: 644:Jagannatha Samrat 639:Achyuta Pisharati 376:Lilavati Ganitamu 1283: 883:Romaka Siddhanta 765:Akshay Venkatesh 735:M. S. Narasimhan 705:P.C. Mahalanobis 498: 497: 478: 471: 464: 455: 454: 427: 418: 389: 388: 386: 384: 370: 364: 363: 350: 344: 343: 341: 339: 328: 319: 313: 307: 301: 43:, alongside the 1291: 1290: 1286: 1285: 1284: 1282: 1281: 1280: 1246: 1245: 1244: 1239: 1187: 1181: 1145: 1119: 1090:C. T. Rajagopal 1037:Bapudeva Sastri 1029: 1023: 985: 965:Brahmi numerals 957: 951: 911:Surya Siddhanta 784: 760:Manjul Bhargava 683: 542: 487: 482: 434: 416: 398: 393: 392: 382: 380: 371: 367: 351: 347: 337: 335: 330: 329: 322: 314: 310: 302: 298: 293: 276: 252:Kriyā-kramakarī 197: 167: 164: 162: 160: 158: 156: 154: 152: 103: 71: 26: 17: 12: 11: 5: 1289: 1279: 1278: 1273: 1268: 1263: 1258: 1241: 1240: 1238: 1237: 1232: 1227: 1222: 1217: 1212: 1207: 1202: 1197: 1191: 1189: 1183: 1182: 1180: 1179: 1174: 1169: 1164: 1159: 1153: 1151: 1147: 1146: 1144: 1143: 1138: 1133: 1127: 1125: 1121: 1120: 1118: 1117: 1111: 1105: 1099: 1093: 1087: 1081: 1075: 1070: 1064: 1061:P. C. Sengupta 1058: 1052: 1046: 1040: 1033: 1031: 1025: 1024: 1022: 1021: 999: 993: 991: 987: 986: 984: 983: 978: 972: 967: 961: 959: 953: 952: 950: 949: 942: 935: 928: 921: 918:Tantrasamgraha 914: 907: 900: 893: 886: 879: 872: 865: 858: 851: 844: 841:Karanapaddhati 837: 830: 827:Ganita Kaumudi 823: 816: 809: 804: 796: 794: 790: 789: 786: 785: 783: 782: 777: 772: 767: 762: 757: 752: 747: 745:Harish-Chandra 742: 740:C. S. Seshadri 737: 732: 727: 722: 717: 712: 707: 702: 697: 691: 689: 685: 684: 682: 681: 676: 674:Sankara Variar 671: 666: 661: 656: 651: 646: 641: 636: 631: 626: 621: 616: 611: 606: 601: 596: 591: 586: 581: 576: 571: 566: 561: 556: 550: 548: 544: 543: 541: 540: 535: 530: 525: 520: 515: 510: 504: 502: 495: 493:Mathematicians 489: 488: 481: 480: 473: 466: 458: 452: 451: 449:Khagol Mandal 446: 441: 433: 432:External links 430: 429: 428: 419: 414: 397: 394: 391: 390: 365: 356:, ed. (1970). 345: 320: 308: 295: 294: 292: 289: 288: 287: 282: 275: 272: 271: 270: 266: 265: 262: 256: 242: 239: 232: 220: 217: 196: 193: 184:multiplication 149: 119:solid geometry 115:plane geometry 113:progressions, 102: 99: 88:multiplication 70: 67: 15: 9: 6: 4: 3: 2: 1288: 1277: 1274: 1272: 1269: 1267: 1264: 1262: 1259: 1257: 1254: 1253: 1251: 1236: 1233: 1231: 1228: 1226: 1223: 1221: 1218: 1216: 1213: 1211: 1208: 1206: 1203: 1201: 1198: 1196: 1193: 1192: 1190: 1184: 1178: 1175: 1173: 1170: 1168: 1165: 1163: 1160: 1158: 1155: 1154: 1152: 1150:Other regions 1148: 1142: 1141:David Pingree 1139: 1137: 1134: 1132: 1129: 1128: 1126: 1122: 1115: 1112: 1109: 1106: 1103: 1100: 1097: 1094: 1091: 1088: 1085: 1082: 1079: 1076: 1074: 1071: 1068: 1065: 1062: 1059: 1056: 1055:M. Rangacarya 1053: 1050: 1047: 1044: 1041: 1038: 1035: 1034: 1032: 1028:Historians of 1026: 1019: 1015: 1011: 1007: 1003: 1002:Jantar Mantar 1000: 998: 995: 994: 992: 988: 982: 979: 977: 973: 971: 968: 966: 963: 962: 960: 954: 948: 947: 943: 941: 940: 936: 934: 933: 929: 927: 926: 922: 920: 919: 915: 913: 912: 908: 906: 905: 901: 899: 898: 894: 892: 891: 887: 885: 884: 880: 878: 877: 873: 871: 870: 866: 864: 863: 859: 857: 856: 852: 850: 849: 845: 843: 842: 838: 836: 835: 831: 829: 828: 824: 822: 821: 817: 815: 814: 810: 808: 805: 803: 802: 798: 797: 795: 791: 781: 778: 776: 773: 771: 768: 766: 763: 761: 758: 756: 753: 751: 748: 746: 743: 741: 738: 736: 733: 731: 728: 726: 723: 721: 718: 716: 713: 711: 708: 706: 703: 701: 698: 696: 693: 692: 690: 686: 680: 677: 675: 672: 670: 667: 665: 662: 660: 657: 655: 652: 650: 647: 645: 642: 640: 637: 635: 632: 630: 627: 625: 622: 620: 619:Mahendra Sūri 617: 615: 612: 610: 607: 605: 602: 600: 597: 595: 592: 590: 587: 585: 582: 580: 577: 575: 572: 570: 567: 565: 562: 560: 557: 555: 552: 551: 549: 545: 539: 536: 534: 531: 529: 526: 524: 521: 519: 516: 514: 511: 509: 506: 505: 503: 499: 496: 494: 490: 486: 479: 474: 472: 467: 465: 460: 459: 456: 450: 447: 445: 442: 440:- Book Review 439: 436: 435: 425: 420: 417: 415:9780691120676 411: 407: 406: 400: 399: 378: 377: 369: 361: 360: 355: 354:David Pingree 349: 333: 327: 325: 318:, p. 79. 317: 312: 306:, p. 71. 305: 300: 296: 286: 283: 281: 278: 277: 268: 267: 263: 261: 257: 254: 253: 247: 243: 240: 237: 233: 231: 230: 225: 221: 218: 216: 215: 210: 209: 208: 201: 191: 189: 185: 181: 175: 173: 166: 147: 145: 142:Excerpt from 140: 138: 134: 132: 128: 124: 120: 116: 112: 108: 98: 96: 91: 89: 83: 80: 76: 62: 58: 56: 52: 48: 47: 42: 41: 36: 32: 31: 24: 19: 1188:institutions 1108:K. S. Shukla 1080:(1892– 1953) 946:Yavanajataka 944: 937: 930: 923: 916: 909: 904:Śulba Sūtras 902: 895: 890:Sadratnamala 888: 881: 874: 867: 860: 853: 847: 846: 839: 834:Kanakkusaram 832: 825: 818: 811: 799: 669:Varāhamihira 634:Parameshvara 589:Govindasvāmi 559:Āryabhaṭa II 423: 404: 381:. Retrieved 375: 368: 358: 348: 338:September 1, 336:. Retrieved 316:Poulose 1991 311: 304:Plofker 2009 299: 249: 235: 228: 213: 206: 195:Translations 177: 171: 169: 150: 143: 141: 136: 135: 130: 107:arithmetical 104: 94: 92: 84: 72: 54: 50: 44: 38: 29: 28: 27: 18: 1124:Translators 1116:(1919–2005) 1114:K. V. Sarma 1110:(1918–2007) 1104:(1918–1992) 1098:(1918–2000) 1092:(1903–1978) 1086:(1901–1954) 1084:A. N. Singh 1069:(1888–1958) 1067:B. B. Datta 1063:(1876–1962) 1057:(1861–1916) 1051:(1855–1910) 1045:(1853–1898) 1039:(1821–1900) 1030:mathematics 974:Symbol for 958:innovations 855:Lokavibhaga 801:Aryabhatiya 599:Jyeṣṭhadeva 584:Brahmagupta 569:Bhāskara II 554:Āryabhaṭa I 538:Yajnavalkya 396:Works cited 246:K. V. Sarma 238:into Hindi. 111:geometrical 51:Grahaganita 35:Bhāskara II 1250:Categories 1073:T. Hayashi 956:Pioneering 939:Yuktibhāṣā 862:Pātīgaṇita 813:Bijaganita 770:Ravi Vakil 624:Munishvara 604:Kamalakara 579:Brahmadeva 564:Bhāskara I 513:Baudhayana 291:References 188:involution 75:arithmetic 55:Golādhyāya 46:Bijaganita 1102:S. N. Sen 1010:New Delhi 932:Veṇvāroha 793:Treatises 594:Halayudha 547:Classical 518:Katyayana 508:Apastamba 383:7 October 180:fractions 93:The word 79:horoscope 1018:Varanasi 976:zero (0) 848:Līlāvatī 715:C.R. Rao 679:Virasena 659:Sridhara 629:Narayana 614:Mahāvīra 444:Bhaskara 274:See also 236:Lilavati 174:states: 172:Lilavati 144:Lilavati 137:Lilavati 131:parardha 101:Contents 95:Līlāvatī 53:and the 30:Līlāvatī 1157:Babylon 990:Centres 654:Śrīpati 533:Pingala 501:Ancient 123:Kuṭṭaka 1186:Modern 1177:Europe 1167:Greece 1014:Ujjain 1006:Jaipur 688:Modern 528:Pāṇini 523:Manava 412:  244:1975. 222:1817. 49:, the 1162:China 1235:TIFR 410:ISBN 385:2022 340:2012 186:and 109:and 69:Name 1252:: 1016:, 1012:, 1008:, 323:^ 248:, 226:, 182:, 117:, 57:. 1020:) 1004:( 477:e 470:t 463:v 387:. 342:. 25:.

Index

Leelavathi (disambiguation)
Bhāskara II
Siddhānta Shiromani
Bijaganita

arithmetic
horoscope
multiplication
arithmetical
geometrical
plane geometry
solid geometry
Kuṭṭaka
indeterminate equations
fractions
multiplication
involution

Lilawati: or A Treatise on Arithmetic or Geometry by Bhascara Acharya
Henry Thomas Colebrooke
Algebra, with Arithmetic and mensuration, from the Sanscrit of Brahmegupta and Bháscara, Page 24, chap 2/3
K. V. Sarma
Kriyā-kramakarī
Līlāvatī of Bhāskarācārya: a treatise of mathematics of Vedic tradition : with rationale in terms of modern mathematics largely based on N.H. Phadke's Marāthī translation of Līlāvatī
Indian mathematics
Timeline of algebra and geometry
Plofker 2009
Poulose 1991

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