65:
Very little is known about ÅrÄ«dhara's life beyond mentions of his mathematical work by later mathematicians and the content of his extant treatises, which do not contain biographical details such as his parents, teachers, or birthplace. Various scholars have suggested he came from the
144:(the part of geometry concerned with calculating sizes, lengths, areas, and volumes). It is believed to have originally included 900 stanzas, but only 251 are extant, and many topics mentioned in the table of contents have been lost. The second,
400:
178:
He gave an exposition on the zero. He wrote, "If zero is added to any number, the sum is the same number; if zero is subtracted from any number, the number remains unchanged; if zero is multiplied by any number, the product is
167:, which has been lost, but some quotations remain in the works of later mathematicians. Some historians believe that ÅrÄ«dhara may have authored another mathematical treatise called
1169:
1134:
1321:
871:
1146:
567:
1301:
1193:
1347:
1088:
1263:
291:
Subrata, Bhowmik. (2010). "Great Indian
Mathematicians of Post-Christian Era". Bulletin of Tripura Mathematical Society. XXX. 17-18.
1316:
427:
1326:
1268:
276:
182:
In the case of dividing a fraction he has found out the method of multiplying the fraction by the reciprocal of the divisor.
475:
841:
156:. It discusses counting of numbers, natural number, zero, measures, multiplication, fraction, division, squares, cubes,
1357:
455:
1311:
821:
464:
560:
205:
can be derived by completing the square for a generic quadratic equation with symbolic coefficients, it is called
1061:
1296:
911:
665:
705:
584:
106:
1286:
1306:
1291:
553:
157:
801:
495:
450:
445:
109:(9th century), from which historians estimate ÅrÄ«dhara to have lived in the 8th or early 9th century.
1352:
811:
141:
1101:
967:
816:
432:
350:
422:
1227:
1109:
700:
1248:
1175:
988:
1105:
1097:
599:
186:
444:
1187:
898:
866:
511:
317:
34:
8:
1253:
1222:
1030:
1016:
953:
846:
791:
786:
740:
690:
418:
401:
Encyclopaedia of the
History of Science, Technology, and Medicine in Non-Western Cultures
152:("Having 300") because it was written in three hundred verses, is an abridged summary of
112:
He has sometimes been conflated with other medieval Indian scholars also named ÅrÄ«dhara.
755:
576:
534:
491:
391:
359:
329:
190:
1258:
1140:
960:
735:
730:
604:
460:
272:
202:
136:("Having 900"), extensively covered the practical mathematics of the time including
974:
856:
826:
796:
409:
405:
379:
939:
710:
98:
1181:
1128:
1056:
1002:
851:
720:
345:
760:
680:
383:
1152:
1072:
1009:
932:
918:
836:
831:
765:
609:
267:
Plofker, Kim (2009). "Appendix B: Biographical Data on Indian
Mathematicians".
20:
660:
90:
1341:
1232:
1164:
1093:
995:
440:
395:
341:
67:
655:
619:
1199:
1037:
981:
925:
745:
725:
650:
515:
1205:
1158:
946:
892:
675:
629:
94:
71:
538:
160:, interest-calculation, joint business or partnership, and mensuration.
904:
861:
715:
695:
670:
137:
38:
333:
1023:
685:
645:
545:
806:
770:
459:. Vol. 12 (RushdāStas). New York: Scribner. pp. 597ā598.
83:
624:
50:
19:
This article is about the mathematician. For the Saka ruler, see
872:
Shanti Swarup
Bhatnagar Prize recipients in Mathematical Science
294:
614:
120:ÅrÄ«dhara wrote two extant mathematical treatises. The first,
75:
1073:
Infinite series expansions for the trigonometric functions
474:
Ramanujacharia, N.; Kaye, George R., eds. (1912ā1913).
473:
1322:
Ramanujan
Institute for Advanced Study in Mathematics
1067:
416:
300:
251:
527:
Annals of the
Bhandarkar Oriental Research Institute
74:. Based on example problems in his works mentioning
320:(1932). "On the Relation of MahÄvÄ«ra to ÅrÄ«dhara".
231:
229:
227:
225:
223:
105:, and overlapping material is found in the work of
1339:
220:
525:Singh, Sabal (1951). "Works of ÅrÄ«dharÄcÄrya".
373:
93:(12th century), and made apparent reference to
404:(2nd ed.). Springer. pp. 2017ā2018.
561:
101:(9th century) quoted a passage also found in
271:. Princeton University Press. p. 325.
1089:Kerala school of astronomy and mathematics
568:
554:
1317:Homi Bhabha Centre for Science Education
439:
428:MacTutor History of Mathematics Archive
340:
266:
247:
37:, known for two extant treatises about
1340:
575:
510:
490:
549:
524:
390:
358:
316:
262:
235:
842:Subbayya Sivasankaranarayana Pillai
362:(1987). "On the Date of ÅrÄ«dhara".
13:
1302:Institute of Mathematical Sciences
456:Dictionary of Scientific Biography
14:
1369:
1348:8th-century Indian mathematicians
1312:Harish-Chandra Research Institute
822:K. R. Parthasarathy (probabilist)
374:Ramasubramanian, K., ed. (2019).
163:He also wrote a work on algebra,
476:"The TriÅatikÄ of ÅrÄ«dharÄcÄrya"
49:, and a now-lost treatise about
16:8th century Indian mathematician
517:The Patiganita of Sridharacarya
310:
1297:Chennai Mathematical Institute
666:Melpathur Narayana Bhattathiri
410:10.1007/978-1-4020-4425-0_9294
285:
256:
241:
1:
301:O'Connor & Robertson 2000
252:O'Connor & Robertson 2000
213:
1287:Indian Statistical Institute
496:"The Date of Sridharacharya"
378:. Springer. pp. 19ā20.
7:
1307:Indian Institute of Science
1292:Bhaskaracharya Pratishthana
1170:A. A. Krishnaswamy Ayyangar
1135:Shankar Balakrishna Dikshit
1062:HinduāArabic numeral system
384:10.1007/978-981-13-1229-8_4
174:His notable works includeā
41:and practical mathematics,
10:
1374:
802:Subrahmanyan Chandrasekhar
18:
1358:Scholars from West Bengal
1277:
1241:
1215:
1119:
1081:
1047:
884:
812:Veeravalli S. Varadarajan
779:
638:
592:
583:
185:He presented a method of
33:(8thā9th century) was an
1228:Henry Thomas Colebrooke
817:S. R. Srinivasa Varadhan
433:University of St Andrews
351:Encyclopaedia Britannica
115:
701:MÄdhava of Saį¹
gamagrÄma
480:Bibliotheca Mathematica
394:(2008). "ÅrÄ«dhara". In
207:ÅrÄ«dharÄcÄrya's formula
60:
78:, and a dedication in
912:BrÄhmasphuį¹asiddhÄnta
520:. Lucknow University.
512:Shukla, Kripa Shankar
451:Gillispie, Charles C.
187:completing the square
1188:T. A. Saraswati Amma
899:Bakhshali manuscript
867:Kannan Soundararajan
419:Robertson, Edmund F.
318:Datta, Bibhutibhusan
269:Mathematics in India
89:He was mentioned by
82:, he was probably a
35:Indian mathematician
1264:Islamic mathematics
1223:Walter Eugene Clark
1017:Vasishtha Siddhanta
989:SiddhÄnta Shiromani
968:Paitamaha Siddhanta
847:Tilak Raj Prabhakar
792:Satyendra Nath Bose
787:Srinivasa Ramanujan
741:Nilakantha Somayaji
500:The Jaina Antiquary
492:Sastri, S. Srikanta
417:O'Connor, John J.;
392:Gupta, Radha Charan
360:Gupta, Radha Charan
193:, sometimes called
191:quadratic equations
756:Gangesha Upadhyaya
577:Indian mathematics
169:Gaį¹ita-panĢcaviį¹ÅÄ«
1335:
1334:
1141:Sudhakara Dvivedi
961:Paulisa Siddhanta
880:
879:
736:Jagannatha Samrat
731:Achyuta Pisharati
278:978-0-691-12067-6
203:quadratic formula
195:ÅrÄ«dhara's method
1365:
1353:Indian logicians
975:Romaka Siddhanta
857:Akshay Venkatesh
827:M. S. Narasimhan
797:P.C. Mahalanobis
590:
589:
570:
563:
556:
547:
546:
542:
533:(1ā4): 254ā257.
521:
507:
487:
470:
448:
436:
413:
387:
371:
355:
337:
304:
298:
292:
289:
283:
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1362:
1338:
1337:
1336:
1331:
1279:
1273:
1237:
1211:
1182:C. T. Rajagopal
1129:Bapudeva Sastri
1121:
1115:
1077:
1057:Brahmi numerals
1049:
1043:
1003:Surya Siddhanta
876:
852:Manjul Bhargava
775:
634:
579:
574:
467:
313:
308:
307:
299:
295:
290:
286:
279:
261:
257:
246:
242:
234:
221:
216:
209:in some places.
146:PÄį¹Ä«gaį¹ita-sÄra
118:
103:PÄį¹Ä«gaį¹ita-sÄra
97:(7th century).
80:PÄį¹Ä«gaį¹ita-sÄra
63:
47:PÄį¹Ä«gaį¹ita-sÄra
24:
17:
12:
11:
5:
1371:
1361:
1360:
1355:
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1333:
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1210:
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1197:
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1185:
1179:
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1167:
1162:
1156:
1153:P. C. Sengupta
1150:
1144:
1138:
1132:
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1117:
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1114:
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1010:Tantrasamgraha
1006:
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992:
985:
978:
971:
964:
957:
950:
943:
936:
933:Karanapaddhati
929:
922:
919:Ganita Kaumudi
915:
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837:Harish-Chandra
834:
832:C. S. Seshadri
829:
824:
819:
814:
809:
804:
799:
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789:
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766:Sankara Variar
763:
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748:
743:
738:
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596:
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585:Mathematicians
581:
580:
573:
572:
565:
558:
550:
544:
543:
522:
514:, ed. (1959).
508:
488:
471:
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441:Pingree, David
437:
414:
396:Selin, Helaine
388:
364:Gaį¹ita BhÄratÄ«
356:
342:Hayashi, Takao
338:
312:
309:
306:
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284:
277:
255:
240:
218:
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212:
211:
210:
201:. Because the
183:
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148:, also called
124:, also called
117:
114:
84:Shaivite Hindu
62:
59:
21:Sridharavarman
15:
9:
6:
4:
3:
2:
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1242:Other regions
1240:
1234:
1233:David Pingree
1231:
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1207:
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1147:M. Rangacarya
1145:
1142:
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1136:
1133:
1130:
1127:
1126:
1124:
1120:Historians of
1118:
1111:
1107:
1103:
1099:
1095:
1094:Jantar Mantar
1092:
1090:
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1086:
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1007:
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986:
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928:
927:
923:
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920:
916:
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907:
906:
902:
900:
897:
895:
894:
890:
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883:
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868:
865:
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838:
835:
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828:
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823:
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815:
813:
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772:
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742:
739:
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734:
732:
729:
727:
724:
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719:
717:
714:
712:
711:Mahendra SÅ«ri
709:
707:
704:
702:
699:
697:
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692:
689:
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684:
682:
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677:
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571:
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559:
557:
552:
551:
548:
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536:
532:
528:
523:
519:
518:
513:
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497:
493:
489:
485:
481:
477:
472:
468:
466:0-684-12924-8
462:
458:
457:
452:
447:
442:
438:
434:
430:
429:
424:
420:
415:
411:
407:
403:
402:
397:
393:
389:
385:
381:
377:
372:Reprinted in
370:(1ā4): 54ā56.
369:
365:
361:
357:
353:
352:
347:
343:
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335:
331:
327:
323:
319:
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314:
302:
297:
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274:
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264:
259:
253:
249:
244:
237:
232:
230:
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219:
208:
204:
200:
196:
192:
188:
184:
181:
177:
176:
175:
172:
170:
166:
161:
159:
158:rule of three
155:
151:
147:
143:
139:
135:
131:
127:
123:
113:
110:
108:
104:
100:
99:GovindasvÄmin
96:
92:
87:
85:
81:
77:
73:
69:
68:Bengal region
58:
56:
52:
48:
44:
40:
36:
32:
31:ÅrÄ«dharÄcÄrya
28:
22:
1280:institutions
1200:K. S. Shukla
1172:(1892ā 1953)
1038:Yavanajataka
1036:
1029:
1022:
1015:
1008:
1001:
996:Åulba SÅ«tras
994:
987:
982:Sadratnamala
980:
973:
966:
959:
952:
945:
938:
931:
926:Kanakkusaram
924:
917:
910:
903:
891:
761:VarÄhamihira
750:
726:Parameshvara
681:GovindasvÄmi
651:Äryabhaį¹a II
530:
526:
516:
503:
499:
483:
479:
454:
426:
399:
375:
367:
363:
349:
328:(1): 25ā33.
325:
321:
311:Bibliography
296:
287:
268:
258:
248:Hayashi 2002
243:
206:
199:Hindu method
198:
194:
173:
168:
164:
162:
153:
149:
145:
133:
129:
125:
121:
119:
111:
102:
88:
79:
64:
54:
46:
42:
30:
26:
25:
1216:Translators
1208:(1919ā2005)
1206:K. V. Sarma
1202:(1918ā2007)
1196:(1918ā1992)
1190:(1918ā2000)
1184:(1903ā1978)
1178:(1901ā1954)
1176:A. N. Singh
1161:(1888ā1958)
1159:B. B. Datta
1155:(1876ā1962)
1149:(1861ā1916)
1143:(1855ā1910)
1137:(1853ā1898)
1131:(1821ā1900)
1122:mathematics
1066:Symbol for
1050:innovations
947:Lokavibhaga
893:Aryabhatiya
691:Jyeį¹£į¹hadeva
676:Brahmagupta
661:BhÄskara II
646:Äryabhaį¹a I
630:Yajnavalkya
506:(2): 12ā17.
376:Gaį¹itÄnanda
346:"Shridhara"
142:mensuration
95:Brahmagupta
91:BhÄskara II
72:South India
1342:Categories
1165:T. Hayashi
1048:Pioneering
1031:YuktibhÄį¹£Ä
954:PÄtÄ«gaį¹ita
905:Bijaganita
862:Ravi Vakil
716:Munishvara
696:Kamalakara
671:Brahmadeva
656:BhÄskara I
605:Baudhayana
486:: 203ā217.
482:. Ser. 3.
446:"ÅrÄ«dhara"
423:"Sridhara"
263:Gupta 1987
236:Gupta 2008
214:References
165:BÄ«jagaį¹ita
154:PÄį¹Ä«gaį¹ita
138:arithmetic
126:Bį¹hat-PÄį¹i
122:PÄį¹Ä«gaį¹ita
55:BÄ«jagaį¹ita
43:PÄį¹Ä«gaį¹ita
39:arithmetic
1194:S. N. Sen
1102:New Delhi
1024:Veį¹vÄroha
885:Treatises
686:Halayudha
639:Classical
610:Katyayana
600:Apastamba
189:to solve
150:TriÅatikÄ
128:("Bigger
1110:Varanasi
1068:zero (0)
940:LÄ«lÄvatÄ«
807:C.R. Rao
771:Virasena
751:Sridhara
721:Narayana
706:MahÄvÄ«ra
539:41784594
494:(1948).
443:(1975).
421:(2000).
344:(2002).
134:NavaÅatÄ«
107:MahÄvÄ«ra
70:or from
27:ÅrÄ«dhara
1249:Babylon
1082:Centres
746:ÅrÄ«pati
625:Pingala
593:Ancient
453:(ed.).
398:(ed.).
197:or the
132:") and
51:algebra
1278:Modern
1269:Europe
1259:Greece
1106:Ujjain
1098:Jaipur
780:Modern
620:PÄį¹ini
615:Manava
537:
463:
334:224625
332:
275:
179:zero".
1254:China
535:JSTOR
449:. In
330:JSTOR
116:Works
76:Shiva
1327:TIFR
461:ISBN
322:Isis
273:ISBN
140:and
130:PÄį¹i
61:Life
45:and
406:doi
380:doi
265:;
29:or
1344::
1108:,
1104:,
1100:,
531:32
529:.
504:13
502:.
498:.
484:13
478:.
431:.
425:.
366:.
348:.
326:17
324:.
250:;
222:^
171:.
86:.
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