Sunday, January 4, 2015

Aryabhata(476–550 CE)



Born                 :   476 in Kusumapura (now Patna), India
Main Interests  :   Mathematics , Astronomy
Died                 :   550 in India


Early Life

Aryabhata(some time misspelled as ‘Aryabhatta’) was  
one of the first Indian mathematicians and astronomers 
belonging to the classical age. 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.


Aryabhatiya

Aryabhata wrote Aryabhatiya in Kusumapura at the time when Pataliputra was the capital of the Gupta empire and a major centre of learning.It is written in the Sanskrit language, the language of the Aryans. There are 123 stanzas in the Aryabhatiya. Some of them have a logical flow while some seem to come out of nowhere.The style of the Aryabhatiya is difficult to describe.
Aryabhatiya was particularly popular in South India, where numerous mathematicians over the ensuing millennium wrote commentaries. Written in verse couplets, this work deals with mathematics and astronomy.



Mathematical Work

Aryabhata wrote many mathematical and astronomical treatises. His chief work was the ‘Ayrabhatiya’ which was a compilation of mathematics and astronomy. The name of this treatise was not given to it by Aryabhata but by later commentators. Aryabhata’s system of phonemic number notation, the work is characteristically divided into three sections: Ganita (“Mathematics”), Kaal-kriya (“Time Calculations”), and Gola(“Sphere”).
 A disciple by him called the ‘Bhaskara’ names it ‘Ashmakatanra’ meaning ‘treatise from the Ashmaka’. This treatise is also referred to as ‘Ayra-shatas-ashta’ which translates to ‘Aryabhata’s 108’. This is a very literal name because the treatise did   in fact consist of 108 verses. It covers several branches of mathematics such as algebra, arithmetic, plane and spherical trigonometry. Also included in it are theories on continued fractions, sum of power series, sine tables and quadratic equations.


Aryabhata worked on the place value system using letters to signify numbers and stating qualities. He also came up with an approximation of pi ( ) and area of a triangle. He introduced the concept of sine in his work called ‘Ardha-jya’ which is translated as ‘half-chord’.
Briefly we can understand :
1. Place value system and zero
2. Approximation of π
3. Trigonometry
4. Indeterminate equations
5. Algebra





Astronomical Work
Aryabhata also did a considerable amount of work in astronomy. He knew that the earth is rotating on an axis around the sun and the moon rotated around it. He also discovered the position of nine planets and stated that these also revolved around the sun. He pointed out the eclipses; both lunar and solar. Aryabhata stated the correct number of days in a year that is 365. He was the first person to mention that the earth was not flat but in fact a spherical shape. He also gave the circumference and diameter of the earth and the radius of the orbits of 9 planets.
Mention of rotation of the earth on its axis by Aryabhatt

Honouring Aryabhatta

The Indian ISRO (Indian Space Research Organization) named its first satellite after the genius mathematician and astronomer. A research establishment has been set up in Nainital, called the Aryabhatta Research Institute of Observational Sciences (ARIOS) to honor his contribution to the field of science. There is also a lunar crater and a species of bacteria discovered by ISRO named after Aryabhatta.

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