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Aryabhatiya (IAST: Āryabhaṭīya) or Aryabhatiyam (Āryabhaṭīyaṃ), a Sanskrit astronomical treatise, is the magnum opus and only known surviving work of the 5th century Indian mathematician Aryabhata. Philosopher of astronomy Roger Billard estimates that the book was composed around 510 CE based on historical references it mentions. [1][2]
Aryabhata ( ISO: Āryabhaṭa) or Aryabhata I[3][4] (476–550 CE) [5][6] was the first of the major mathematician - astronomers from the classical age of Indian mathematics and Indian astronomy. His works include the Āryabhaṭīya (which mentions that in 3600 Kali Yuga, 499 CE, he was 23 years old) [7] and the Arya- siddhanta.
He had also composed an elaborate commentary on Aryabhatiya called the Aryabhatiya Bhasya. In this Bhasya, Nilakantha had discussed infinite series expansions of trigonometric functions and problems of algebra and spherical geometry. Grahapariksakrama is a manual on making observations in astronomy based on instruments of the time.
Tantrasamgraha, [1][2] or Tantrasangraha, [3] (literally, A Compilation of the System) is an important astronomical treatise written by Nilakantha Somayaji, an astronomer / mathematician belonging to the Kerala school of astronomy and mathematics. The treatise was completed in 1501 CE. It consists of 432 verses in Sanskrit divided into eight ...
Āryabhaṭa's table was the first sine table ever constructed in the history of mathematics. [7] The now lost tables of Hipparchus (c. 190 BC – c. 120 BC) and Menelaus (c. 70–140 CE) and those of Ptolemy (c. AD 90 – c. 168) were all tables of chords and not of half-chords. [7] Āryabhaṭa's table remained as the standard sine table of ...
Aryabhata II. Āryabhaṭa (c. 920 – c. 1000) [1] also known as Arya Diya Jankhi was an Indian mathematician and astronomer, and the author of the Maha-Siddhanta. The numeral II is given to him to distinguish him from the earlier and more influential Āryabhaṭa I. Scholars are unsure of when exactly he was born, though David Pingree dates ...
Suryadeva Yajvan. Suryadeva (1191 – at least 1248 CE) was a Sanskrit -language writer on astrology and astronomy ( jyotisha )) from the Chola kingdom of southern India. He wrote commentaries on several notable works including the Aryabhatiya and the Laghu-manasa .
In Indian astronomy, the study of trigonometric functions flourished in the Gupta period, especially due to Aryabhata (sixth century AD), who discovered the sine function, cosine function, and versine function. When during the Middle Ages, the study of trigonometry continued in Islamic mathematics, by mathematicians such as Al-Khwarizmi and Abu ...