Brahmagupta: Malsamoj inter versioj
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Linio 22:
Brahmagupta estis la unua matematikisto kiu havigis regulojn por kalkuli pere de nulo. La tekstoj komponitaj de Brahmagupta estis komponitaj en elipsaj versoj en [[Sanskrito]], kiel estis komuna praktiko en hindia matematiko. Ĉar ne estas pruvoj pri tio, oni ne konas kiel la rezultoj de Brahmagupta estis derivitaj.<ref>[http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Brahmagupta.html] Alirita la 8an de Majo 2016.</ref>
==Vivo kaj kariero==
Brahmagupta naskiĝis en 598 a.K. laŭ sia propra aserto. Li loĝis en ''Bhillamala'' (moderna [[Bhinmal]]) dum la regado de la reganto de la Ĉapa dinastio nome Vjagrahamuĥa. Li estis la filo de Jiŝnugupta. Li estis [[Ŝivao|Ŝivaisma]] laŭ religio.<ref>{{harvnb|Bhattacharyya|2011|p=185}}: "Brahmagupta, one of the most celebrated mathematicians of the East, indeed of the world, was born in the year 598 c.e., in the town of Bhillamala during the reign of King Vyaghramukh of the Chapa Dynasty."</ref> Eĉ kvankam plej fakuloj opinias ke Brahmagupta naskiĝis en Bhillamala, ne estas konkluda pruvaro por tio. Tamen, li loĝis kaj laboris tie dum granda parto de sia vivo. Prithudaka Svamin, posta komentisto, nomigis lin ''Bhillamalaĉarja'', nome la instruisto el Bhillamala.<ref>Gupta, Radha Charan (2008), Selin, Helaine, eld., Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures, Springer, pp. 162–163, ISBN 978-1-4020-4559-2, ISBN 1-4020-4425-9</ref> Sociologo G. S. Ghurye kredis ke li povus esti el la regiono [[Multano]] de la areo de Monto Abu.<ref name="Pillai1997">{{citation|last=Pillai|first=S. Devadas|title=Indian Sociology Through Ghurye, a Dictionary|url=http://books.google.com/books?id=P3uD22Ghqs4C&pg=PA216|year=1997|publisher=Popular Prakashan|isbn=978-81-7154-807-1|page=216|quote=Brahmagupta (b. 598 AD) was a native of either the Multan region of the Punjab (now this areas is in Pakistan) or the Abu region of Rajasthan.}}</ref>
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Bhillamala, called ''pi-lo-mo-lo'' by [[Xuanzang]], was the apparent capital of the [[Gurjaratra|Gurjaradesa]], the second largest kingdom of Western India, comprising the southern [[Rajasthan]] and northern [[Gujarat]] in modern-day India. It was also a center of learning for mathematics and astronomy. Brahmagupta became an astronomer of the ''Brahmapaksha'' school (one of the four major schools of Indian astronomy during this period). He studied the five traditional ''siddhanthas'' on Indian astronomy as well as the work of other astronomers including [[Aryabhata I]], Latadeva, Pradyumna, [[Varahamihira]], Simha, Srisena, Vijayanandin and Vishnuchandra.{{sfn|Gupta|2008|p=162}}
In the year 628, at an age of 30, he composed ''Brāhmasphuṭasiddhānta'' (the improved treatise of Brahma) which is believed to be a revised version of the received ''siddhanta'' of the Brahmapaksha school. Scholars state that he has incorported a great deal of originality to his revision, adding a considerable amount of new material. The book consists of 24 chapters with 1008 verses in the ''ārya'' meter. A good deal of it is astronomy, but it also contains key chapters on mathematics, including algebra, geometry, trigonometry and algorithmics, which are believed to contain new insights due to Brahmagupta himself.{{sfn|Gupta|2008|p=162}}{{sfn|Bhattacharyya|2011|pp=185-186}}{{sfn|Bose|Sen|Subbarayappa|1971}}
Later, Brahmagupta moved to [[Ujjain]], which was also a major centre for astronomy. At the mature age of 67, he composed his next well known work ''Khanda-khādyaka'', which is a practical manual of Indian astronomy in the ''karana'' category meant to be used by students.{{sfn|Gupta|2008|p=163}}
Brahmagupta lived beyond 665 CE. He is believed to have died in Ujjain.
== Formulo de Brahmagupta ==
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