Difference between revisions 4795147 and 4795148 on mswiki

{{Proses/BukanTeamBiasa}}
{{Otheruses}}
[[Fail:2064 aryabhata-crp.jpg|thumb|300px|Arca Aryabhata di tapak [[Inter-University Centre for Astronomy and Astrophysics|IUCAA]], [[Pune]]. Dengan tiadanya maklumat diketahui mengenai rupawannya, apa-apa imej Aryabhata berasal dari konsepsi artis.]]
(contracted; show full)

The Aryabhatiya presented a number of innovations in mathematics and astronomy in verse form, which were influential for many centuries. The extreme brevity of the text was elaborated in commentaries by his disciple [[Bhaskara I]] (''Bhashya'', ca. 600 CE) and by [[Nilakantha Somayaji]] in his ''Aryabhatiya Bhasya,'' (1465 CE).

== Matematik ==
=== Menempatkan sistem nilai dan kosong ===

TheSistem [[place-value]] system, first seen in the 3rd century [[Bakhshali Manuscript]], was clearly in place in his work, pertama kali dilihat pada abad ke-3 [[Manuskrip Bakhshali]], jelas terdapat dalam karyanya.<ref>P. Z. Ingerman, "Panini-Backus form," Communications of the ACM 10 (3)(1967), pms.137</ref> ; he certainly did not use thedia pasti tidak menggunakan syimbol, but Frenchtetapi ahli mathematiciank Perancis [[Georges Ifrah]] argues that knowledge of zero was implicit in Aryabhata's place-value system as a place holder for the powers of ten with null coefficientsberpendapat bahawa pengetahuan tentang sifar tersirat dalam sistem nilai tempat Aryabhata sebagai pemegang tempat untuk kekuatan sepuluh dengan koefisien nol<ref>
{{cite book
 | author =        G. Ifrah
 | title =       A Universal History of Numbers: From Prehistory to the Invention of the Computer 
 | publisher =    John Wiley & Sons
 | address =      London
 | date =         1998 
}}</ref>

HoweverNamun, Aryabhata dtid not use the brahmi numerals. Continuing the [[Sanskrit]]ic tradition from [[Vedic period|Vedic times]], he used letters of the alphabet to denote numbers, expressing quantities, such as the table ofak menggunakan angka brahmi. Melanjutkan tradisi [[Sanskrit]] dari [[zaman Veda]], dia menggunakan huruf abjad untuk menunjukkan angka, menyatakan jumlah, seperti jadual [[sineus]] in adalambentuk [[mnemonick]] form.<ref>
{{Harvard reference
 | Surname1    = Dutta
 | Given1      = Bibhutibhushan
 | Surname2    = Singh
 | Given2      = Avadhesh Narayan
 | Year        = 1962
 | Title       = History of Hindu Mathematics
(contracted; show full)
[[Kategori:Kelahiran 476]]
[[Kategori:Kematian 550]]
[[Kategori:Ahli matematik abad ke-5]]
[[Kategori:Ahli matematik abad ke-6]]
[[Kategori:Ahli astronomi India]]
[[Kategori:Ahli matematik India silam]]
[[Kategori:Ahli astronomi zaman pertengahan]]