For his explicit mention of the relativity of motion, he also qualifies as a major early physicist. While there is a tendency to misspell his name as "Aryabhatta" by analogy with other names having the " bhatta " suffix, his name is properly spelled Aryabhata: every astronomical text spells his name thus, [8] including Brahmagupta 's references to him "in more than a hundred places by name". Aryabhata mentions in the Aryabhatiya that he was 23 years old 3, years into the Kali Yuga , but this is not to mean that the text was composed at that time. This mentioned year corresponds to CE, and implies that he was born in

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He constructed tables of sines accurate up to about 5 figures. Biography Essentially nothing is known of the life of Aryabhata II. Historians have argued about his date and have come up with many different theories. In [ 1 ] Pingree gives the date for his main publications as being between and This is deduced from the usual arguments such as which authors Aryabhata II refers to and which refer to him.

The article [ 3 ] argues for a date of about for Aryabhata II's main work, the Mahasiddhanta , but R Billiard has proposed a date for Aryabhata II in the sixteenth century. Most modern historians, however, consider the most likely dates for his main work as around and we have given very approximate dates for his birth and death based on this hypothesis.

See [ 7 ] for a fairly recent discussion of this topic. The most famous work by Aryabhata II is the Mahasiddhanta which consists of eighteen chapters. The treatise is written in Sanskrit verse and the first twelve chapters form a treatise on mathematical astronomy covering the usual topics that Indian mathematicians worked on during this period.

The topics included in these twelve chapters are: the longitudes of the planets, eclipses of the sun and moon, the projection of eclipses, the lunar crescent, the rising and setting of the planets, conjunctions of the planets with each other and with the stars. The remaining six chapters of the Mahasiddhanta form a separate part entitled On the sphere.

It discusses topics such as geometry, geography and algebra with applications to the longitudes of the planets. The rules apply in a number of different cases such as when c c c is positive, when c c c is negative, when the number of the quotients of the mutual divisions is even, when this number of quotients is odd, etc. Details of Aryabhata II's method are given in [ 6 ].

Aryabhata II also gave a method to calculate the cube root of a number, but his method was not new, being based on that given many years earlier by Aryabhata I , see for example [ 5 ].

Aryabhata II constructed a sine table correct up to five decimal places when measured in decimal parts of the radius, see [ 4 ]. Indian mathematicians were very interested in giving accurate sine tables since they were used to calculate the planetary positions as accurately as possible. Other Mathematicians born in India. References show. Calcutta Math. Bihar Math.

Additional Resources show. Cross-references show. History Topics: An overview of Indian mathematics.

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## Aryabhata (Mathematician): History & Biography

Aryabhata , also called Aryabhata I or Aryabhata the Elder , born , possibly Ashmaka or Kusumapura, India , astronomer and the earliest Indian mathematician whose work and history are available to modern scholars. He is also known as Aryabhata I or Aryabhata the Elder to distinguish him from a 10th-century Indian mathematician of the same name. He flourished in Kusumapura—near Patalipurta Patna , then the capital of the Gupta dynasty —where he composed at least two works, Aryabhatiya c. Aryabhata became famous as a mathematician and astronomer. In his only surviving work, Aryabhatiya , he covered a wide range of topics, such as extracting square roots , solving quadratic equations , and predicting eclipses. The translation of Aryabhatiya into Arabic at the end of the 8th century exercised a great influence on the development of mathematical astronomy in the Islamic world. Its contents are preserved to some extent in the works of Varahamihira flourished c.

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## Aryabhata the Elder

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## Aryabhata II

It is however definite that he travelled to Kusumapara modern day Patna for studies and even resided there for some time. It is mentioned in a few places that Aryabhata was the head of the educational institute in Kusumapara. The University of Nalanda had an observatory in its premises so it is hypothesized that Aryabhata was the principal of the university as well. On the other hand some other commentaries mention that he belonged to Kerala.

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View one larger picture. Biography Aryabhata is also known as Aryabhata I to distinguish him from the later mathematician of the same name who lived about years later. Al-Biruni has not helped in understanding Aryabhata's life, for he seemed to believe that there were two different mathematicians called Aryabhata living at the same time. He therefore created a confusion of two different Aryabhatas which was not clarified until when B Datta showed that al-Biruni 's two Aryabhatas were one and the same person.

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