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Write about Aryabhatta (mathematician) his contribution towards mathematics and his life history
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Answered by anushka521
18
Aryabhata was an acclaimed mathematician-astronomer. He was born in Kusumapura (present day Patna) in Bihar, India. His contribution to mathematics, science and astronomy is immense, and yet he has not been accorded the recognition in the world history of science. At the age of 24, he wrote his famed “Aryabhatiya”. He was aware of the concept of zero, as well as the use of large numbers up to 1018. He was the first to calculate the value for ‘pi’ accurately to the fourth decimal point. He devised the formula for calculating areas of triangles and circles. He calculated the circumference of the earth as 62,832 miles, which is an excellent approximation, and suggested that the apparent rotation of the heavens was due to the axial rotation of the earth on its axis. He was the first known astronomer to devise a continuous counting of solar days, designating each day with a number. He asserted that the planets shine due to the reflection of sunlight, and that the eclipses occur due to the shadows of moon and earth. His observations discount the “flat earth” concept, and lay the foundation for the belief that earth and other planets orbit the sun.Childhood & Early Life

Aryabhata’s birthplace is uncertain, but it may have been in the area known in ancient texts as Ashmaka, which may have been Maharashtra or Dhaka or in Kusumapura in present day Patna.

Some archaeological evidence suggests that he came from the present day Kodungallur, the historical capital city of Thiruvanchikkulam of ancient Kerala - this theory is strengthened by the several commentaries on him having come from Kerala.

He went to Kusumapura for advanced studies and lived there for some time. Both Hindu and Buddhist traditions, as well as Bhāskara I, the 7th Century mathematician, identify Kusumapura as modern Patna.





Aryabhatiya’s first chapter, Gitikapada, with its large units of time — kalpa, manvantra, and Yuga — introduces a different cosmology. The duration of the planetary revolutions during a mahayuga is given as 4.32 million



He did not use a symbol for zero; its knowledge was implicit in his place-value system as a place holder for the powers of ten with null coefficients.

He did not use the Brahmi numerals, and continued the Sanskritic tradition from Vedic times of using letters of the alphabet to denote numbers, expressing quantities in a mnemonic form.

He worked on the approximation for pi thus — add four to 100, multiply by eight, and then add 62,000, the circumference of a circle with a diameter of 20,000 can be

He correctly believed that the earth rotates about its axis daily, and that the apparent movement of the stars is a relative motion caused by the rotation of the earth.

Major Works

Aryabhata’s major work, Aryabhatiya, a compendium of mathematics and astronomy, was extensively referred to in the Indian mathematical literature, and has survived to modern times. The Aryabhatiya covers arithmetic, algebra, and trigonometry.


Personal Life & Legacy

Aryabhata’s work was of great influence in the Indian astronomical tradition and influenced several neighboring cultures through translations. Some of his works are cited by Al-Khwarizmi, and in the 10th century by Al-Biruni.

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The Aryabhata Knowledge University (AKU), Patna, has been established by the Government of Bihar in his honor for the development and management of educational infrastructure related to technical, medical, management and allied professional education.

India’s first satellite Aryabhata is named in his honor.

At the Aryabhata Research Institute of Observational Sciences (ARIOS) near Nainital, India, research in astronomy, astrophysics and atmospheric sciences.

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Top Facts You Did Not Know About Aryabhata

Aryabhata is credited to have set up an observatory at the Sun temple in Taregana, Bihar.

Some sources suggest that Kerala was Aryabhata's main place of life and activity but others refute this statement.

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He served as the head of an institution (kulapa) at Kusumapura and might have also been the head of the Nalanda university.

Some scholars claim that the Arabic text ‘Al ntf’ or ‘Al-nanf’ is a translation of one of his works.

His most famous text, ‘Aryabhatiya’, consists of 108 verses and 13 introductory verses.

Aryabhata did not use the Brahmi numerals; he used letters of the alphabet to denote numbers.

It is probable that he might have come to the conclusion that 'pi' is irrational.


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Answered by Anonymous
10
Aryabhata(some time misspelled as ‘Aryabhatta’) was one of the first Indian mathematicians and astronomers belonging to the classical age. He was born in 476 BC in Tarenaga, a town in Bihar, India. 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.

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. 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’.

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