36:
469:
Nilakantha's writings substantiate his knowledge of several branches of Indian philosophy and culture. It is said that he could refer to a
Mimamsa authority to establish his view-point in a debate and with equal felicity apply a grammatical dictum to the same purpose. In his writings he refers to a
460:
Somayāji’s "Āryabhaṭīyabhāṣya" is the most extensive commentary on Āryabhaṭīya. He takes all pains to expose the rationale and the objective behind the statements and observations made by Āryabhaṭa. He goes on clarifying all the possible doubts. The way in which he formulates and interconnects ideas
470:
Mimamsa authority, quotes extensively from
Pingala's chandas-sutra, scriptures, Dharmasastras, Bhagavata and Vishnupurana also. Sundararaja, a contemporary Tamil astronomer, refers to Nilakantha as sad-darshani-parangata, one who had mastered the six systems of Indian philosophy.
998:
461:
is simply beautiful. At times his commentary on a particular point runs into pages. But it would be a pleasure to read it, for, the language and style of argument are the very same as those in a polemical text of philosophy.
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1151:
661:
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591: : A short work in 32 slokas enunciating the astronomical constants with reference to the Kalpa and specifying his views on astronomical concepts and topics.
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597: : A work in 32 verses on the methods for the calculation of time from the measurement of the shadow of the gnomon cast by the moon and vice versa.
324:
Nilakantha
Somayaji was one of the very few authors of the scholarly traditions of India who had cared to record details about his own life and times.
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Modification of the earlier Indian planetary theory by the Kerala astronomers (c. 1500 AD) and the implied heliocentric picture of planetary motion
1126:
2285:
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indicate that
Nilakantha Somayaji was a member of the Kelallur family (Sanskritised as Kerala-sad-grama) residing at Kundagrama, now known as
1010:
53:
1800:
1051:
429:
424:, who initiated him into the science of astronomy and instructed him in the basic principles of mathematical computations. The great
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contain chronograms specifying the Kali-days of the commencement (1,680,548) and of completion (1,680,553) of
Somayaji's magnum opus
2331:
2315:
2270:
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119:
1231:
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2020:
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72:
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2255:
1624:
57:
1664:
79:
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1411:
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755:(in Sanskrit and English). Translated by V.S. Narasimhan. Indian National Academy of Science. p. 48. Archived from
2265:
2250:
1512:
1166:
1119:
818:
86:
1760:
890:
807:, trans. V. S. Narasimhan in the Indian Journal of History of Science, issue starting Vol. 33, No. 1 of March 1998
633: : Description of the principles and methods for verifying astronomical computations by regular observations.
571:
The following is a brief description of the works by
Nilakantha Somayaji dealing with astronomy and mathematics.
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in the late 16th century. Most astronomers of the Kerala school who followed him accepted this planetary model.
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823:. Vishveshvaranand Institute of Sanskrit and Indological Studies, Panjab University, Hoshiarpur. p. 58
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1947:
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377:-bhashya, Nilakantha Somayaji has stated that he was the son of Jatavedas and he had a brother named
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2212:
2181:
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1975:
1805:
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1745:
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1,660,181 which works out to 14 June 1444 CE. A contemporary reference to
Nilakantha Somayaji in a
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1241:
1201:
1156:
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289:
251:
93:
715:
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in later life. In colloquial
Malayalam usage the word Somayaji has been corrupted to Comatiri.
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2099:
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1406:
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1933:
1815:
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1055:
903:
656:
627: : Rationale of the necessity of correcting old astronomical constants by observations.
621: : Nilakantha's answers to questions posed by Sundaraja, a Tamil Nadu-based astronomer.
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305:
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2015:
1961:
1810:
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1926:
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999:
Encyclopaedia of the
History of Science, Technology, and Medicine in Non-Western Cultures
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1968:
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576:
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637:
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is a manual on making observations in astronomy based on instruments of the time.
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262:. One of his most influential works was the comprehensive astronomical treatise
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1040:"The discovery of the series formula for π by Leibnitz, Gregory and Nilakantha"
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1820:
1674:
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1401:
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970:"Second order interpolation in Indian mathematics up to the fifteenth century"
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1982:
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1604:
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1444:
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1191:
485:
445:
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381:. Somayaji has further stated that he was a Bhatta belonging to the Gargya
350:
implies that
Somayaji lived to a ripe old age even to become a centenarian.
347:
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329:
865:
Nilakantha's critique on Aryabhata's verses on squaring and square rooting
1765:
1729:
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1426:
1261:
1171:
417:
449:. So it could be surmised that Nilakantha Somayaji had also performed a
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409:. His wife was named Arya and he had two sons Rama and Dakshinamurti.
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completed in 1501. He had also composed an elaborate commentary on
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585: : Description of basic astronomical elements and procedures
1831:
Shanti Swarup Bhatnagar Prize recipients in Mathematical Science
526:
1508:
1108:
504:
for these planets remained the most accurate until the time of
538:
521:, Nilakantha developed a computational system for a partially
416:
and some aspects of astronomy under one Ravi. However, it was
29:
2307:
The Contribution of Kelallur Nilakantha Somayaji to Astronomy
887:
The Crest of the Peacock: Non-European Roots of Mathematics
662:
List of astronomers and mathematicians of the Kerala school
2032:
Infinite series expansions for the trigonometric functions
902:
K. Ramasubramanian, M. D. Srinivas, M. S. Sriram (1994). "
2026:
1088:
927:"Indian literature on mathematics during 1400 - 1800 AD"
842:
P. Vinod Bhattathiripad; K.D. Nambudripad (3 May 2007).
2310:(2009 ed.). Calicut: University of Calicut. 2009.
432:
is said to have been a student of Nilakantha Somayaji.
354:, a pupil of Nilakantha Somayaji, in his commentary on
2281:
Ramanujan Institute for Advanced Study in Mathematics
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2006:
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615: : Commentary on his own Chandrachhayaganita.
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196:
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60:. Unsourced material may be challenged and removed.
202:Golasara, Candrachayaganita, Aryabhatiya-bhashya,
820:A History of the Kerala School of Hindu Astronomy
338:, Nilakantha Somayaji stated that he was born on
246:(14 June 1444 – 1544), also referred to as
1099:Official Website of Kelallur Nilakantha Somayaji
609: : Commentary on his own Siddhantadarapana.
362:, points out that the first and last verses of
27:Indian mathematician and astronomer (1444–1544)
1520:
1120:
8:
603: : Elaborate commentary on Aryabhatiya.
276:. In this Bhasya, Nilakantha had discussed
1089:Official Website of Chenthala Vishnu Temple
2371:Kerala school of astronomy and mathematics
2048:Kerala school of astronomy and mathematics
1548:
1527:
1513:
1505:
1136:Kerala school of astronomy and mathematics
1127:
1113:
1105:
260:Kerala school of astronomy and mathematics
133:
750:"Tantrasamgraha with English translation"
525:planetary model in which Mercury, Venus,
120:Learn how and when to remove this message
2276:Homi Bhabha Centre for Science Education
881:
879:
439:is a title assigned to or assumed by a
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783:
773:
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443:who has performed the vedic ritual of
1477:(Mahishamangalam Sankaran Namputhiri)
7:
977:Indian Journal of History of Science
934:Indian Journal of History of Science
690:Indian Journal of History of Science
370:. Both these days occur in 1500 CE.
58:adding citations to reliable sources
1801:Subbayya Sivasankaranarayana Pillai
1052:Mathematical Association of America
2381:16th-century Indian mathematicians
2376:15th-century Indian mathematicians
2261:Institute of Mathematical Sciences
983:(1 & 2): 87–98. Archived from
453:ritual and assumed the title of a
430:Thunchaththu Ramanujan Ezhuthachan
334:and also in his own commentary on
25:
2271:Harish-Chandra Research Institute
1781:K. R. Parthasarathy (probabilist)
1212:Mazhamaṅgalaṃ Nārāyaṇan Naṃpūtiri
465:Nilakantha Somayaji as a polymath
420:, son of Kerala-drgganita author
34:
2396:15th-century Indian astronomers
2386:People from Malappuram district
2366:16th-century Indian astronomers
1094:Tantrasamgraha Official Website
1017:Shailesh A Shirali (May 1997).
45:needs additional citations for
2256:Chennai Mathematical Institute
1625:Melpathur Narayana Bhattathiri
997:(2008) "Nilakantha Somayaji",
515:, a commentary on Aryabhata's
1:
2330:: CS1 maint: date and year (
641: : Analysis of astronomy
2246:Indian Statistical Institute
1341:Laghuvivṛti (commentary on
1038:Ranjan Roy (December 1990).
846:. Namboothiri Websites Trust
412:Nilakantha Somayaji studied
244:Keļallur Nīlakaṇṭha Somayāji
2266:Indian Institute of Science
2251:Bhaskaracharya Pratishthana
2129:A. A. Krishnaswamy Ayyangar
2094:Shankar Balakrishna Dikshit
2021:Hindu–Arabic numeral system
1463:Mahodayapuram (Kodungallur)
1252:Śaṅkara Varma of Kaṭattanāṭ
613:Chandrachhayaganita-vyakhya
541:, which in turn orbits the
327:In one of his works titled
304:Nilakantha was born into a
2417:
1761:Subrahmanyan Chandrasekhar
1483:(Nilakantha Somayaji, etc)
1453:(Govinda Bhattathiri, etc)
1412:Madhava's correction terms
1019:"Nilakantha, Euler and pi"
940:(1): 79–93. Archived from
891:Princeton University Press
560:
1771:Veeravalli S. Varadarajan
1471:(Madhava of Sangamagrama)
1447:(Azhvanchery Thamprakkal)
1237:Śaṅkara of Mahiṣamaṅgalam
885:George G. Joseph (2000).
681:K.D. Swaminathan (1972).
488:'s model for the planets
2187:Henry Thomas Colebrooke
1776:S. R. Srinivasa Varadhan
1489:(Putumana Somayaji, etc)
1227:Parameśvara of Vațaśśeri
1001:(2nd edition) edited by
716:"Nilakantha - Biography"
607:Sidhhantadarpana-vyakhya
393:. References in his own
181:Astronomer-mathematician
1660:Mādhava of Saṅgamagrāma
1207:Madhava of Sangamagrama
867:, N. K. Sundareswaran,
308:family which came from
282:trigonometric functions
2391:Scientists from Kerala
1436:Places associated with
1351:Mahābhāskarīya Bhāshya
385:and was a follower of
360:Tantrasamgraha-vyakhya
1871:Brāhmasphuṭasiddhānta
1438:members of the school
1348:Madhyamanayanaprakara
1323:Jyotiśśāstra-saṃgraha
1315:Jātaka-sāara-saṃgraha
1312:Grahacāraṇinibandhana
1282:Aryabhatiya-bhashya (
1172:Dāmodara of Vațaśreņi
1162:Azhvāñceri Taṃprākkaḷ
873:, Vol 39, No. 2, 2017
652:Indian mathematicians
619:Sundaraja-prasnottara
561:Further information:
508:in the 17th century.
484:, Nilakantha revised
69:"Nilakantha Somayaji"
2401:Scholars from Kerala
2147:T. A. Saraswati Amma
1858:Bakhshali manuscript
1826:Kannan Soundararajan
1487:Sivapuram (Thrissur)
1422:Madhava's sine table
1044:Mathematics Magazine
963:==Further reading==
817:K. V. Sarma (1972).
500:his equation of the
320:Biographical details
54:improve this article
2223:Islamic mathematics
2182:Walter Eugene Clark
1976:Vasishtha Siddhanta
1948:Siddhānta Shiromani
1927:Paitamaha Siddhanta
1806:Tilak Raj Prabhakar
1751:Satyendra Nath Bose
1746:Srinivasa Ramanujan
1700:Nilakantha Somayaji
1284:Nīlakaņțha Sōmayāji
1217:Nīlakaņțha Sōmayāji
1182:Govinda Bhattathiri
683:"Jyotisa in Kerala"
601:Aryabhatiya-bhashya
229:Rama, Dakshinamurti
138:Nilakantha Somayaji
18:Neelakanta Somayaji
1715:Gangesha Upadhyaya
1536:Indian mathematics
1202:Kochukrishnan Asan
1145:and mathematicians
786:has generic name (
696:(1 & 2): 28–36
549:later proposed by
290:spherical geometry
274:Aryabhatiya Bhasya
237:Jatavedan (father)
2294:
2293:
2100:Sudhakara Dvivedi
1920:Paulisa Siddhanta
1839:
1838:
1695:Jagannatha Samrat
1690:Achyuta Pisharati
1502:
1501:
1465:(Sankaranarayana)
1407:Kaṭapayādi system
1402:Drigganita system
1289:Candrachayaganita
1242:Putumana Somayāji
1011:978-1-4020-4559-2
925:A.K. Bag (1980).
844:"Yaagam (Yajnam)"
631:Grahapariksakrama
625:Grahanadi-grantha
595:Candrachayaganita
545:, similar to the
513:Aryabhatiyabhasya
336:Siddhanta-darpana
294:Grahapariksakrama
284:and problems of
248:Keļallur Comatiri
241:
240:
173:Kelallur Comatiri
130:
129:
122:
104:
16:(Redirected from
2408:
2336:
2335:
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1934:Romaka Siddhanta
1816:Akshay Venkatesh
1786:M. S. Narasimhan
1756:P.C. Mahalanobis
1549:
1529:
1522:
1515:
1506:
1459:(Sankara Varman)
1364:Sidhhantadarpana
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1106:
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991:
990:on 9 March 2012.
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657:Indian astronomy
589:Sidhhantadarpana
498:George G. Joseph
387:Asvalayana-sutra
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170:Other names
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2141:C. T. Rajagopal
2088:Bapudeva Sastri
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2016:Brahmi numerals
2008:
2002:
1962:Surya Siddhanta
1835:
1811:Manjul Bhargava
1734:
1593:
1538:
1533:
1503:
1498:
1437:
1431:
1427:Parahita system
1390:Concepts/Topics
1385:
1271:
1247:Śankara Vāriyar
1232:Śaṅkaranārāyaṇa
1157:Acyuta Piṣāraṭi
1152:(Complete list)
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1133:
1085:
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1060:10.2307/2690896
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947:on 9 March 2012
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919:
909:Current Science
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762:on 9 March 2012
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547:Tychonic system
506:Johannes Kepler
496:. According to
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467:
322:
302:
278:infinite series
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157:
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109:
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39:
28:
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2112:P. C. Sengupta
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1969:Tantrasamgraha
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1791:C. S. Seshadri
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1725:Sankara Variar
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1544:Mathematicians
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1417:Madhava series
1414:
1409:
1404:
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1371:Tantrasamgraha
1368:
1365:
1362:
1357:
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1349:
1346:
1343:Tantrasamgraha
1339:
1337:Kriyakramakari
1334:
1332:Karaṇapaddhati
1329:
1324:
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1303:Gaṇitayuktayah
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65:Find sources:
59:
55:
49:
48:
43:This article
41:
37:
32:
31:
19:
2306:
2300:
2239:institutions
2159:K. S. Shukla
2131:(1892– 1953)
1997:Yavanajataka
1995:
1988:
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1955:Śulba Sūtras
1953:
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1885:Kanakkusaram
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1720:Varāhamihira
1699:
1685:Parameshvara
1640:Govindasvāmi
1610:Āryabhaṭa II
1367:Spuṭanirṇaya
1360:Sadratnamālā
1327:Kanakkusāraṃ
1283:
1267:Vidyamadhava
1216:
1071:. Retrieved
1047:
1043:
1027:. Retrieved
1022:
1005:, Springer,
985:the original
980:
976:
968:R.C. Gupta.
962:
949:. Retrieved
942:the original
937:
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912:
907:
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886:
868:
864:
860:
848:. Retrieved
837:
825:. Retrieved
819:
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796:
764:. Retrieved
757:the original
723:. Retrieved
719:
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698:. Retrieved
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523:heliocentric
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435:The epithet
434:
411:
399:Trikkandiyur
394:
378:
372:
359:
335:
328:
326:
323:
303:
293:
273:
272:called the
263:
247:
243:
242:
198:Notable work
147:14 June 1444
131:
116:
107:
97:
90:
83:
76:
64:
52:Please help
47:verification
44:
2356:1544 deaths
2351:1444 births
2175:Translators
2167:(1919–2005)
2165:K. V. Sarma
2161:(1918–2007)
2155:(1918–1992)
2149:(1918–2000)
2143:(1903–1978)
2137:(1901–1954)
2135:A. N. Singh
2120:(1888–1958)
2118:B. B. Datta
2114:(1876–1962)
2108:(1861–1916)
2102:(1855–1910)
2096:(1853–1898)
2090:(1821–1900)
2081:mathematics
2025:Symbol for
2009:innovations
1906:Lokavibhaga
1852:Aryabhatiya
1650:Jyeṣṭhadeva
1635:Brahmagupta
1620:Bhāskara II
1605:Āryabhaṭa I
1589:Yajnavalkya
1495:(Haridatta)
1457:Kadathanadu
1197:Jyeṣṭhadeva
1143:Astronomers
1073:6 September
1054:: 291–306.
1029:6 September
995:K. V. Sarma
784:|last=
551:Tycho Brahe
518:Aryabhatiya
422:Paramesvara
375:Aryabhatiya
270:Aryabhatiya
2345:Categories
2124:T. Hayashi
2007:Pioneering
1990:Yuktibhāṣā
1913:Pātīgaṇita
1864:Bijaganita
1821:Ravi Vakil
1675:Munishvara
1655:Kamalakara
1630:Brahmadeva
1615:Bhāskara I
1564:Baudhayana
1493:Tirunavaya
1381:Yuktibhāṣā
1355:Pañcabodha
1296:Drigganita
1292:Dasādhyāyi
1262:Vararuci I
1167:Citrabhānu
1101:(archived)
951:30 January
889:, p. 408.
850:4 February
805:K.V. Sarma
766:17 January
748:(editor).
746:K.V. Sarma
725:11 January
700:3 February
668:References
537:orbit the
401:in modern
300:Early life
256:astronomer
178:Occupation
110:April 2024
80:newspapers
2326:cite book
2153:S. N. Sen
2061:New Delhi
1983:Veṇvāroha
1844:Treatises
1645:Halayudha
1598:Classical
1569:Katyayana
1559:Apastamba
1475:Peruvanam
1451:Alathiyur
1445:Athavanad
1376:Venvaroha
1300:Dṛkkaraṇa
1276:Treatises
1192:Haridatta
1177:Devācārya
1023:Resonance
486:Aryabhata
474:Astronomy
451:Somayajna
446:Somayajna
441:Namputiri
426:Malayalam
348:astrology
344:Malayalam
330:Siddhanta
2069:Varanasi
2027:zero (0)
1899:Līlāvatī
1766:C.R. Rao
1730:Virasena
1710:Sridhara
1680:Narayana
1665:Mahāvīra
1469:Kudallur
1309:Golasara
1306:Golavada
776:cite web
646:See also
583:Golasara
455:Somayaji
437:Somayaji
418:Damodara
346:work on
340:Kali-day
226:Children
213:Somayaji
2208:Babylon
2041:Centres
1705:Śrīpati
1584:Pingala
1552:Ancient
1068:2690896
1025:: 28–43
827:15 July
531:Jupiter
511:In his
490:Mercury
478:In his
414:vedanta
391:Rigveda
379:Sankara
358:titled
306:Brahmin
286:algebra
258:of the
94:scholar
2314:
2237:Modern
2228:Europe
2218:Greece
2065:Ujjain
2057:Jaipur
1739:Modern
1579:Pāṇini
1574:Manava
1066:
1009:
803:, ed.
535:Saturn
502:centre
407:Kerala
314:Kerala
234:Parent
218:Spouse
155:Kerala
96:
89:
82:
75:
67:
2213:China
1064:JSTOR
1050:(5).
988:(PDF)
973:(PDF)
945:(PDF)
930:(PDF)
760:(PDF)
753:(PDF)
686:(PDF)
557:Works
543:Earth
494:Venus
428:poet
403:Tirur
383:gotra
332:-star
210:Title
151:Tirur
101:JSTOR
87:books
2332:link
2312:ISBN
2286:TIFR
1075:2016
1031:2016
1007:ISBN
953:2010
852:2010
829:2024
788:help
768:2010
727:2022
702:2010
565:and
533:and
527:Mars
492:and
288:and
254:and
221:Arya
165:1544
162:Died
144:Born
73:news
1056:doi
906:",
539:Sun
389:of
373:In
312:in
56:by
2347::
2328:}}
2324:{{
2067:,
2063:,
2059:,
1062:.
1048:63
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975:.
938:15
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932:.
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778:}}
774:{{
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692:.
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1286:)
1128:e
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1077:.
1058::
1033:.
1013:.
981:4
955:.
893:.
854:.
831:.
790:)
770:.
729:.
704:.
694:8
123:)
117:(
112:)
108:(
98:·
91:·
84:·
77:·
50:.
20:)
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