211:
93:
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.
72:
96:
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."
92:
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
140:, and combinations. Bhaskara II gives the value of pi as 22/7 in the book but suggest a more accurate ratio of 3927/1250 for use in astronomical calculations. Also according to the book, the largest number is the
459:
150:
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.
271:
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
1088:
1053:
189:
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
1240:
75:
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.
790:
88:
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
1065:
486:
1220:
1112:
230:
11th century: Eluganti Pedana ( ఎలుగంటి పెద్దన) translated
Lilavati into Telugu. The work is called Prakīrna Ganitamu( ప్రకిర్ణ గణితము).
1007:
1286:
1182:
1276:
1235:
252:
1936. Pidaparti
Krishnamurti Sastry translated the work into Telugu language and it was published by Srividya press, Vizianagaram.
1245:
101:
by separate parts and by separate digits. And tell , beautiful one, how much is that product divided by the same multiplier?"
1187:
760:
1230:
740:
424:
1271:
479:
295:
980:
108:
itself means playful or one possessing play (from
Sanskrit, Līlā = play, -vatī = female possessing the quality).
1215:
830:
584:
454:
624:
503:
1205:
240:
Algebra, with
Arithmetic and mensuration, from the Sanscrit of Brahmegupta and Bháscara, Page 24, chap 2/3
1281:
1266:
1225:
1210:
472:
414:
33:
97:
and "Fawn-eyed child Līlāvatī, tell me, how much is the number 135 multiplied by 12, if you understand
720:
730:
1020:
886:
735:
198:
116:
The book contains thirteen chapters, mainly definitions, arithmetical terms, interest computation,
17:
385:
1146:
1028:
619:
234:
157:(Appears as an additional problem attached to stanza 54, Chapter 3. Translated by T N Colebrook)
137:
368:
1167:
1094:
190:
117:
907:
342:
275:
Bhaskaracharya's work 'Lilavati' was translated into
Persian(फारसी) by-( Abul Faizi-in 1587 ).
50:
1024:
1016:
518:
437:, Ravivarma Samskr̥ta granthāvali, vol. 22, Govt. Sanskrit College (Tripunithura, India)
121:
201:, pure and perfect as are the solutions, and tasteful as is the speech which is exemplified.
1106:
817:
785:
8:
1172:
1141:
949:
935:
872:
765:
710:
705:
659:
609:
238:
674:
495:
290:
218:
The translations or editions of the
Lilavati into English and other languages include:
448:
390:(in Telugu). Translated by Pidaparti Krishnamurti Sastry. Vizianagaram: Srividya Press
1177:
1059:
879:
654:
649:
523:
420:
893:
775:
745:
715:
629:
1100:
1047:
975:
921:
770:
639:
270:
223:
133:
48:
on mathematics, written in 1150 AD. It is the first volume of his main work, the
679:
599:
280:
Bakul Kayastha from medieval Assam (1400CE) made Assamese rendering of Lilavati.
1071:
991:
928:
851:
837:
755:
750:
684:
528:
262:
194:
129:
125:
98:
579:
45:
1260:
1151:
1083:
1012:
914:
364:
210:
574:
538:
1118:
956:
900:
844:
664:
644:
569:
1124:
1077:
865:
811:
594:
548:
256:
823:
780:
634:
614:
589:
85:
56:
942:
604:
564:
464:
225:
Lilawati: or A Treatise on Arithmetic or Geometry by Bhascara Acharya
89:
725:
689:
669:
71:
543:
791:
Shanti Swarup Bhatnagar Prize recipients in Mathematical Science
533:
992:
Infinite series expansions for the trigonometric functions
373:. Vol. 1. American Philosophical Society. p. 45.
269:
2001. K. S. Patwardhan, S. A. Naimpally and S. L. Singh.
1241:
Ramanujan Institute for Advanced Study in Mathematics
986:
320:
308:
370:Census of the Exact Sciences in Sanskrit Series A
1258:
337:
335:
266:, Hoshiarpur: VVBIS & IS, Panjab University
245:1842. Amichandra Shravaga of Jaipur translated
383:
480:
363:
332:
1008:Kerala school of astronomy and mathematics
487:
473:
435:Scientific heritage of India, mathematics
1236:Homi Bhabha Centre for Science Education
214:Telugu translation of Lilavati Ganitamu.
209:
170:The young woman saved one third of them.
70:
432:
412:
326:
314:
176:How many pearls were there altogether?
144:equal to one hundred thousand billion.
14:
1259:
494:
174:If six pearls remained upon the string
44:is a treatise by Indian mathematician
468:
27:Mathematical treatise by Bhāskara II
162:Whilst making love a necklace broke.
761:Subbayya Sivasankaranarayana Pillai
172:One tenth were caught by her lover.
24:
1221:Institute of Mathematical Sciences
25:
1298:
1231:Harish-Chandra Research Institute
741:K. R. Parthasarathy (probabilist)
442:
1287:12th-century Sanskrit literature
296:Timeline of algebra and geometry
132:, the shadow of the gnomon, the
1277:Science and technology in India
261:Līlāvatī of Bhāskarācārya with
205:
181:Bhaskaracharya's conclusion to
1216:Chennai Mathematical Institute
585:Melpathur Narayana Bhattathiri
419:, Princeton University Press,
406:
377:
357:
13:
1:
301:
1206:Indian Statistical Institute
433:Poulose, K. G., ed. (1991),
166:One sixth fell to the floor.
7:
1226:Indian Institute of Science
1211:Bhaskaracharya Pratishthana
1089:A. A. Krishnaswamy Ayyangar
1054:Shankar Balakrishna Dikshit
981:Hindu–Arabic numeral system
284:
111:
34:Leelavathi (disambiguation)
10:
1303:
721:Subrahmanyan Chandrasekhar
449:Bhaskaracharya's Lilavathi
31:
1196:
1160:
1134:
1038:
1000:
966:
803:
731:Veeravalli S. Varadarajan
698:
557:
511:
502:
1147:Henry Thomas Colebrooke
736:S. R. Srinivasa Varadhan
164:A row of pearls mislaid.
1272:Social history of India
620:Mādhava of Saṅgamagrāma
384:Bhaskaracharya (1936).
235:Henry Thomas Colebrooke
168:One fifth upon the bed.
138:indeterminate equations
79:
215:
203:
179:
84:Bhaskara II's book on
76:
831:Brāhmasphuṭasiddhānta
413:Plofker, Kim (2009),
213:
187:
159:
74:
1107:T. A. Saraswati Amma
818:Bakhshali manuscript
786:Kannan Soundararajan
416:Mathematics in India
345:. The Indian Express
136:- a method to solve
32:For other uses, see
1183:Islamic mathematics
1142:Walter Eugene Clark
936:Vasishtha Siddhanta
908:Siddhānta Shiromani
887:Paitamaha Siddhanta
766:Tilak Raj Prabhakar
711:Satyendra Nath Bose
706:Srinivasa Ramanujan
660:Nilakantha Somayaji
222:1816. John Taylor,
51:Siddhānta Shiromani
1282:12th-century books
1267:Indian mathematics
675:Gangesha Upadhyaya
496:Indian mathematics
343:"Pearls of Wisdom"
291:Indian mathematics
216:
77:
1254:
1253:
1060:Sudhakara Dvivedi
880:Paulisa Siddhanta
799:
798:
655:Jagannatha Samrat
650:Achyuta Pisharati
387:Lilavati Ganitamu
16:(Redirected from
1294:
894:Romaka Siddhanta
776:Akshay Venkatesh
746:M. S. Narasimhan
716:P.C. Mahalanobis
509:
508:
489:
482:
475:
466:
465:
438:
429:
400:
399:
397:
395:
381:
375:
374:
361:
355:
354:
352:
350:
339:
330:
324:
318:
312:
54:, alongside the
21:
1302:
1301:
1297:
1296:
1295:
1293:
1292:
1291:
1257:
1256:
1255:
1250:
1198:
1192:
1156:
1130:
1101:C. T. Rajagopal
1048:Bapudeva Sastri
1040:
1034:
996:
976:Brahmi numerals
968:
962:
922:Surya Siddhanta
795:
771:Manjul Bhargava
694:
553:
498:
493:
445:
427:
409:
404:
403:
393:
391:
382:
378:
362:
358:
348:
346:
341:
340:
333:
325:
321:
313:
309:
304:
287:
263:Kriyā-kramakarī
208:
178:
175:
173:
171:
169:
167:
165:
163:
114:
82:
37:
28:
23:
22:
15:
12:
11:
5:
1300:
1290:
1289:
1284:
1279:
1274:
1269:
1252:
1251:
1249:
1248:
1243:
1238:
1233:
1228:
1223:
1218:
1213:
1208:
1202:
1200:
1194:
1193:
1191:
1190:
1185:
1180:
1175:
1170:
1164:
1162:
1158:
1157:
1155:
1154:
1149:
1144:
1138:
1136:
1132:
1131:
1129:
1128:
1122:
1116:
1110:
1104:
1098:
1092:
1086:
1081:
1075:
1072:P. C. Sengupta
1069:
1063:
1057:
1051:
1044:
1042:
1036:
1035:
1033:
1032:
1010:
1004:
1002:
998:
997:
995:
994:
989:
983:
978:
972:
970:
964:
963:
961:
960:
953:
946:
939:
932:
929:Tantrasamgraha
925:
918:
911:
904:
897:
890:
883:
876:
869:
862:
855:
852:Karanapaddhati
848:
841:
838:Ganita Kaumudi
834:
827:
820:
815:
807:
805:
801:
800:
797:
796:
794:
793:
788:
783:
778:
773:
768:
763:
758:
756:Harish-Chandra
753:
751:C. S. Seshadri
748:
743:
738:
733:
728:
723:
718:
713:
708:
702:
700:
696:
695:
693:
692:
687:
685:Sankara Variar
682:
677:
672:
667:
662:
657:
652:
647:
642:
637:
632:
627:
622:
617:
612:
607:
602:
597:
592:
587:
582:
577:
572:
567:
561:
559:
555:
554:
552:
551:
546:
541:
536:
531:
526:
521:
515:
513:
506:
504:Mathematicians
500:
499:
492:
491:
484:
477:
469:
463:
462:
460:Khagol Mandal
457:
452:
444:
443:External links
441:
440:
439:
430:
425:
408:
405:
402:
401:
376:
367:, ed. (1970).
356:
331:
319:
306:
305:
303:
300:
299:
298:
293:
286:
283:
282:
281:
277:
276:
273:
267:
253:
250:
243:
231:
228:
207:
204:
195:multiplication
160:
130:solid geometry
126:plane geometry
124:progressions,
113:
110:
99:multiplication
81:
78:
26:
9:
6:
4:
3:
2:
1299:
1288:
1285:
1283:
1280:
1278:
1275:
1273:
1270:
1268:
1265:
1264:
1262:
1247:
1244:
1242:
1239:
1237:
1234:
1232:
1229:
1227:
1224:
1222:
1219:
1217:
1214:
1212:
1209:
1207:
1204:
1203:
1201:
1195:
1189:
1186:
1184:
1181:
1179:
1176:
1174:
1171:
1169:
1166:
1165:
1163:
1161:Other regions
1159:
1153:
1152:David Pingree
1150:
1148:
1145:
1143:
1140:
1139:
1137:
1133:
1126:
1123:
1120:
1117:
1114:
1111:
1108:
1105:
1102:
1099:
1096:
1093:
1090:
1087:
1085:
1082:
1079:
1076:
1073:
1070:
1067:
1066:M. Rangacarya
1064:
1061:
1058:
1055:
1052:
1049:
1046:
1045:
1043:
1039:Historians of
1037:
1030:
1026:
1022:
1018:
1014:
1013:Jantar Mantar
1011:
1009:
1006:
1005:
1003:
999:
993:
990:
988:
984:
982:
979:
977:
974:
973:
971:
965:
959:
958:
954:
952:
951:
947:
945:
944:
940:
938:
937:
933:
931:
930:
926:
924:
923:
919:
917:
916:
912:
910:
909:
905:
903:
902:
898:
896:
895:
891:
889:
888:
884:
882:
881:
877:
875:
874:
870:
868:
867:
863:
861:
860:
856:
854:
853:
849:
847:
846:
842:
840:
839:
835:
833:
832:
828:
826:
825:
821:
819:
816:
814:
813:
809:
808:
806:
802:
792:
789:
787:
784:
782:
779:
777:
774:
772:
769:
767:
764:
762:
759:
757:
754:
752:
749:
747:
744:
742:
739:
737:
734:
732:
729:
727:
724:
722:
719:
717:
714:
712:
709:
707:
704:
703:
701:
697:
691:
688:
686:
683:
681:
678:
676:
673:
671:
668:
666:
663:
661:
658:
656:
653:
651:
648:
646:
643:
641:
638:
636:
633:
631:
630:Mahendra Sūri
628:
626:
623:
621:
618:
616:
613:
611:
608:
606:
603:
601:
598:
596:
593:
591:
588:
586:
583:
581:
578:
576:
573:
571:
568:
566:
563:
562:
560:
556:
550:
547:
545:
542:
540:
537:
535:
532:
530:
527:
525:
522:
520:
517:
516:
514:
510:
507:
505:
501:
497:
490:
485:
483:
478:
476:
471:
470:
467:
461:
458:
456:
453:
451:- Book Review
450:
447:
446:
436:
431:
428:
426:9780691120676
422:
418:
417:
411:
410:
389:
388:
380:
372:
371:
366:
365:David Pingree
360:
344:
338:
336:
329:, p. 79.
328:
323:
317:, p. 71.
316:
311:
307:
297:
294:
292:
289:
288:
279:
278:
274:
272:
268:
265:
264:
258:
254:
251:
248:
244:
242:
241:
236:
232:
229:
227:
226:
221:
220:
219:
212:
202:
200:
196:
192:
186:
184:
177:
158:
156:
153:Excerpt from
151:
149:
145:
143:
139:
135:
131:
127:
123:
119:
109:
107:
102:
100:
94:
91:
87:
73:
69:
67:
63:
59:
58:
53:
52:
47:
43:
42:
35:
30:
19:
1199:institutions
1119:K. S. Shukla
1091:(1892– 1953)
957:Yavanajataka
955:
948:
941:
934:
927:
920:
915:Śulba Sūtras
913:
906:
901:Sadratnamala
899:
892:
885:
878:
871:
864:
858:
857:
850:
845:Kanakkusaram
843:
836:
829:
822:
810:
680:Varāhamihira
645:Parameshvara
600:Govindasvāmi
570:Āryabhaṭa II
434:
415:
392:. Retrieved
386:
379:
369:
359:
349:September 1,
347:. Retrieved
327:Poulose 1991
322:
315:Plofker 2009
310:
260:
246:
239:
224:
217:
206:Translations
188:
182:
180:
161:
154:
152:
147:
146:
141:
118:arithmetical
115:
105:
103:
95:
83:
65:
61:
55:
49:
40:
39:
38:
29:
1135:Translators
1127:(1919–2005)
1125:K. V. Sarma
1121:(1918–2007)
1115:(1918–1992)
1109:(1918–2000)
1103:(1903–1978)
1097:(1901–1954)
1095:A. N. Singh
1080:(1888–1958)
1078:B. B. Datta
1074:(1876–1962)
1068:(1861–1916)
1062:(1855–1910)
1056:(1853–1898)
1050:(1821–1900)
1041:mathematics
985:Symbol for
969:innovations
866:Lokavibhaga
812:Aryabhatiya
610:Jyeṣṭhadeva
595:Brahmagupta
580:Bhāskara II
565:Āryabhaṭa I
549:Yajnavalkya
407:Works cited
257:K. V. Sarma
249:into Hindi.
122:geometrical
62:Grahaganita
46:Bhāskara II
1261:Categories
1084:T. Hayashi
967:Pioneering
950:Yuktibhāṣā
873:Pātīgaṇita
824:Bijaganita
781:Ravi Vakil
635:Munishvara
615:Kamalakara
590:Brahmadeva
575:Bhāskara I
524:Baudhayana
302:References
199:involution
86:arithmetic
66:Golādhyāya
57:Bijaganita
1113:S. N. Sen
1021:New Delhi
943:Veṇvāroha
804:Treatises
605:Halayudha
558:Classical
529:Katyayana
519:Apastamba
394:7 October
191:fractions
104:The word
90:horoscope
1029:Varanasi
987:zero (0)
859:Līlāvatī
726:C.R. Rao
690:Virasena
670:Sridhara
640:Narayana
625:Mahāvīra
455:Bhaskara
285:See also
247:Lilavati
185:states:
183:Lilavati
155:Lilavati
148:Lilavati
142:parardha
112:Contents
106:Līlāvatī
64:and the
41:Līlāvatī
18:Lilavati
1168:Babylon
1001:Centres
665:Śrīpati
544:Pingala
512:Ancient
134:Kuṭṭaka
1197:Modern
1188:Europe
1178:Greece
1025:Ujjain
1017:Jaipur
699:Modern
539:Pāṇini
534:Manava
423:
255:1975.
233:1817.
60:, the
1173:China
1246:TIFR
421:ISBN
396:2022
351:2012
197:and
120:and
80:Name
1263::
1027:,
1023:,
1019:,
334:^
259:,
237:,
193:,
128:,
68:.
1031:)
1015:(
488:e
481:t
474:v
398:.
353:.
36:.
20:)
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
