76:
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
411:
155:(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,
189:
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
178:, 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
1332:
882:
578:
1312:
1358:
1099:
1274:
1327:
438:
1337:
287:
852:
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466:
302:
Subrata, Bhowmik. (2010). "Great Indian
Mathematicians of Post-Christian Era". Bulletin of Tripura Mathematical Society. XXX. 17-18.
1322:
832:
475:
571:
1072:
922:
1307:
676:
716:
193:
In the case of dividing a fraction he has found out the method of multiplying the fraction by the reciprocal of the divisor.
117:
595:
486:
167:. It discusses counting of numbers, natural number, zero, measures, multiplication, fraction, division, squares, cubes,
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1317:
1302:
564:
168:
812:
461:
216:
can be derived by completing the square for a generic quadratic equation with symbolic coefficients, it is called
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610:
197:
506:
456:
1041:
964:
701:
120:(9th century), from which historians estimate ÅrÄ«dhara to have lived in the 8th or early 9th century.
1198:
909:
877:
522:
328:
45:
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283:
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109:
1192:
1139:
1067:
1013:
862:
731:
978:
771:
691:
620:
412:
Encyclopaedia of the
History of Science, Technology, and Medicine in Non-Western Cultures
163:("Having 300") because it was written in three hundred verses, is an abridged summary of
123:
He has sometimes been conflated with other medieval Indian scholars also named ÅrÄ«dhara.
1163:
1083:
1020:
943:
929:
847:
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31:
630:
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147:("Having 900"), extensively covered the practical mathematics of the time including
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661:
420:
356:
1216:
1169:
957:
903:
686:
640:
394:
105:
82:
278:
Plofker, Kim (2009). "Appendix B: Biographical Data on Indian
Mathematicians".
915:
872:
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706:
681:
148:
49:
1034:
696:
656:
526:
817:
781:
94:
17:
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171:, interest-calculation, joint business or partnership, and mensuration.
635:
61:
344:
625:
556:
470:. Vol. 12 (RushdāStas). New York: Scribner. pp. 597ā598.
86:
30:
This article is about the mathematician. For the Saka ruler, see
883:
Shanti Swarup
Bhatnagar Prize recipients in Mathematical Science
560:
131:ÅrÄ«dhara wrote two extant mathematical treatises. The first,
1084:
Infinite series expansions for the trigonometric functions
1078:
485:
Ramanujacharia, N.; Kaye, George R., eds. (1912ā1913).
1333:
Ramanujan
Institute for Advanced Study in Mathematics
311:
262:
538:
Annals of the
Bhandarkar Oriental Research Institute
85:. Based on example problems in his works mentioning
1288:
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331:(1932). "On the Relation of MahÄvÄ«ra to ÅrÄ«dhara".
242:
240:
238:
236:
234:
116:, and overlapping material is found in the work of
536:Singh, Sabal (1951). "Works of ÅrÄ«dharÄcÄrya".
104:(12th century), and made apparent reference to
415:(2nd ed.). Springer. pp. 2017ā2018.
572:
112:(9th century) quoted a passage also found in
8:
282:. Princeton University Press. p. 325.
1100:Kerala school of astronomy and mathematics
600:
579:
565:
557:
1328:Homi Bhabha Centre for Science Education
439:MacTutor History of Mathematics Archive
258:
230:
48:, known for two extant treatises about
273:
246:
7:
853:Subbayya Sivasankaranarayana Pillai
373:(1987). "On the Date of ÅrÄ«dhara".
1313:Institute of Mathematical Sciences
467:Dictionary of Scientific Biography
25:
1359:8th-century Indian mathematicians
1323:Harish-Chandra Research Institute
833:K. R. Parthasarathy (probabilist)
385:Ramasubramanian, K., ed. (2019).
174:He also wrote a work on algebra,
487:"The TriÅatikÄ of ÅrÄ«dharÄcÄrya"
60:, and a now-lost treatise about
27:8th century Indian mathematician
528:The Patiganita of Sridharacarya
1308:Chennai Mathematical Institute
677:Melpathur Narayana Bhattathiri
421:10.1007/978-1-4020-4425-0_9294
1:
312:O'Connor & Robertson 2000
263:O'Connor & Robertson 2000
1298:Indian Statistical Institute
507:"The Date of Sridharacharya"
389:. Springer. pp. 19ā20.
1318:Indian Institute of Science
1303:Bhaskaracharya Pratishthana
1181:A. A. Krishnaswamy Ayyangar
1146:Shankar Balakrishna Dikshit
1073:HinduāArabic numeral system
395:10.1007/978-981-13-1229-8_4
185:His notable works includeā
52:and practical mathematics,
1385:
813:Subrahmanyan Chandrasekhar
29:
1369:Scholars from West Bengal
823:Veeravalli S. Varadarajan
196:He presented a method of
44:(8thā9th century) was an
1239:Henry Thomas Colebrooke
828:S. R. Srinivasa Varadhan
444:University of St Andrews
362:Encyclopaedia Britannica
712:MÄdhava of Saį¹
gamagrÄma
491:Bibliotheca Mathematica
405:(2008). "ÅrÄ«dhara". In
218:ÅrÄ«dharÄcÄrya's formula
89:, and a dedication in
923:BrÄhmasphuį¹asiddhÄnta
531:. Lucknow University.
523:Shukla, Kripa Shankar
462:Gillispie, Charles C.
198:completing the square
1199:T. A. Saraswati Amma
910:Bakhshali manuscript
878:Kannan Soundararajan
430:Robertson, Edmund F.
329:Datta, Bibhutibhusan
280:Mathematics in India
100:He was mentioned by
93:, he was probably a
46:Indian mathematician
1275:Islamic mathematics
1234:Walter Eugene Clark
1028:Vasishtha Siddhanta
1000:SiddhÄnta Shiromani
979:Paitamaha Siddhanta
858:Tilak Raj Prabhakar
803:Satyendra Nath Bose
798:Srinivasa Ramanujan
752:Nilakantha Somayaji
511:The Jaina Antiquary
503:Sastri, S. Srikanta
428:O'Connor, John J.;
403:Gupta, Radha Charan
371:Gupta, Radha Charan
204:, sometimes called
202:quadratic equations
767:Gangesha Upadhyaya
588:Indian mathematics
180:Gaį¹ita-panĢcaviį¹ÅÄ«
1346:
1345:
1152:Sudhakara Dvivedi
972:Paulisa Siddhanta
891:
890:
747:Jagannatha Samrat
742:Achyuta Pisharati
289:978-0-691-12067-6
214:quadratic formula
206:ÅrÄ«dhara's method
16:(Redirected from
1376:
1364:Indian logicians
986:Romaka Siddhanta
868:Akshay Venkatesh
838:M. S. Narasimhan
808:P.C. Mahalanobis
601:
581:
574:
567:
558:
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544:(1ā4): 254ā257.
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1193:C. T. Rajagopal
1140:Bapudeva Sastri
1132:
1126:
1088:
1068:Brahmi numerals
1060:
1054:
1014:Surya Siddhanta
887:
863:Manjul Bhargava
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220:in some places.
157:PÄį¹Ä«gaį¹ita-sÄra
129:
114:PÄį¹Ä«gaį¹ita-sÄra
108:(7th century).
91:PÄį¹Ä«gaį¹ita-sÄra
74:
58:PÄį¹Ä«gaį¹ita-sÄra
35:
28:
23:
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15:
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11:
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944:Karanapaddhati
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930:Ganita Kaumudi
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843:C. S. Seshadri
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777:Sankara Variar
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596:Mathematicians
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555:
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525:, ed. (1959).
519:
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452:Pingree, David
448:
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407:Selin, Helaine
399:
375:Gaį¹ita BhÄratÄ«
367:
353:Hayashi, Takao
349:
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212:. Because the
194:
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159:, also called
135:, also called
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95:Shaivite Hindu
73:
70:
32:Sridharavarman
26:
24:
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1158:M. Rangacarya
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1131:Historians of
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1105:Jantar Mantar
1103:
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723:
722:Mahendra SÅ«ri
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477:0-684-12924-8
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431:
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418:
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388:
383:Reprinted in
381:(1ā4): 54ā56.
380:
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207:
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199:
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186:
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181:
177:
172:
170:
169:rule of three
166:
162:
158:
154:
150:
146:
142:
138:
134:
126:
124:
121:
119:
115:
111:
110:GovindasvÄmin
107:
103:
98:
96:
92:
88:
84:
80:
79:Bengal region
71:
69:
67:
63:
59:
55:
51:
47:
43:
42:ÅrÄ«dharÄcÄrya
39:
33:
19:
1291:institutions
1211:K. S. Shukla
1183:(1892ā 1953)
1049:Yavanajataka
1047:
1040:
1033:
1026:
1019:
1012:
1007:Åulba SÅ«tras
1005:
998:
993:Sadratnamala
991:
984:
977:
970:
963:
956:
949:
942:
937:Kanakkusaram
935:
928:
921:
914:
902:
772:VarÄhamihira
761:
737:Parameshvara
692:GovindasvÄmi
662:Äryabhaį¹a II
541:
537:
527:
514:
510:
494:
490:
465:
437:
410:
386:
378:
374:
360:
339:(1): 25ā33.
336:
332:
322:Bibliography
307:
298:
279:
269:
259:Hayashi 2002
254:
217:
210:Hindu method
209:
205:
184:
179:
175:
173:
164:
160:
156:
144:
140:
136:
132:
130:
122:
113:
99:
90:
75:
65:
57:
53:
41:
37:
36:
1227:Translators
1219:(1919ā2005)
1217:K. V. Sarma
1213:(1918ā2007)
1207:(1918ā1992)
1201:(1918ā2000)
1195:(1903ā1978)
1189:(1901ā1954)
1187:A. N. Singh
1172:(1888ā1958)
1170:B. B. Datta
1166:(1876ā1962)
1160:(1861ā1916)
1154:(1855ā1910)
1148:(1853ā1898)
1142:(1821ā1900)
1133:mathematics
1077:Symbol for
1061:innovations
958:Lokavibhaga
904:Aryabhatiya
702:Jyeį¹£į¹hadeva
687:Brahmagupta
672:BhÄskara II
657:Äryabhaį¹a I
641:Yajnavalkya
517:(2): 12ā17.
387:Gaį¹itÄnanda
357:"Shridhara"
153:mensuration
106:Brahmagupta
102:BhÄskara II
83:South India
1353:Categories
1176:T. Hayashi
1059:Pioneering
1042:YuktibhÄį¹£Ä
965:PÄtÄ«gaį¹ita
916:Bijaganita
873:Ravi Vakil
727:Munishvara
707:Kamalakara
682:Brahmadeva
667:BhÄskara I
616:Baudhayana
497:: 203ā217.
493:. Ser. 3.
457:"ÅrÄ«dhara"
434:"Sridhara"
274:Gupta 1987
247:Gupta 2008
225:References
176:BÄ«jagaį¹ita
165:PÄį¹Ä«gaį¹ita
149:arithmetic
137:Bį¹hat-PÄį¹i
133:PÄį¹Ä«gaį¹ita
66:BÄ«jagaį¹ita
54:PÄį¹Ä«gaį¹ita
50:arithmetic
1205:S. N. Sen
1113:New Delhi
1035:Veį¹vÄroha
896:Treatises
697:Halayudha
650:Classical
621:Katyayana
611:Apastamba
200:to solve
161:TriÅatikÄ
139:("Bigger
18:Shridhara
1121:Varanasi
1079:zero (0)
951:LÄ«lÄvatÄ«
818:C.R. Rao
782:Virasena
762:Sridhara
732:Narayana
717:MahÄvÄ«ra
550:41784594
505:(1948).
454:(1975).
432:(2000).
355:(2002).
145:NavaÅatÄ«
118:MahÄvÄ«ra
81:or from
38:ÅrÄ«dhara
1260:Babylon
1093:Centres
757:ÅrÄ«pati
636:Pingala
604:Ancient
464:(ed.).
409:(ed.).
208:or the
143:") and
62:algebra
1289:Modern
1280:Europe
1270:Greece
1117:Ujjain
1109:Jaipur
791:Modern
631:PÄį¹ini
626:Manava
548:
474:
345:224625
343:
286:
190:zero".
1265:China
546:JSTOR
460:. In
341:JSTOR
127:Works
87:Shiva
1338:TIFR
472:ISBN
333:Isis
284:ISBN
151:and
141:PÄį¹i
72:Life
56:and
417:doi
391:doi
276:;
40:or
1355::
1119:,
1115:,
1111:,
542:32
540:.
515:13
513:.
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