ARYABHATA MATHEMATICIAN PDF

It is also believed by some that he was born in Kerala, South of India, however there is no proper evidence of his place of birth. It is these works that gives us information about this famous Indian born scientist and mathematician. It includes topics like arithmetic, trigonometry, algebra, tables of sines and fractions and is written in verse form and consists of verses divided into four chapters. What did Aryabhata discover?

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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. Top Questions How did Aryabhata become famous? 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. What did Aryabhata discover? 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.

It is one of the earliest astronomical works to assign the start of each day to midnight. Aryabhatiya was particularly popular in South India, where numerous mathematicians over the ensuing millennium wrote commentaries. The work was written in verse couplets and deals with mathematics and astronomy. In Ganita Aryabhata names the first 10 decimal places and gives algorithms for obtaining square and cubic roots, using the decimal number system.

Using the Pythagorean theorem , he obtained one of the two methods for constructing his table of sines. He also realized that second-order sine difference is proportional to sine. Mathematical series, quadratic equations , compound interest involving a quadratic equation , proportions ratios , and the solution of various linear equations are among the arithmetic and algebraic topics included. Get exclusive access to content from our First Edition with your subscription. Subscribe today With Kala-kriya Aryabhata turned to astronomy—in particular, treating planetary motion along the ecliptic.

Aryabhatiya ends with spherical astronomy in Gola, where he applied plane trigonometry to spherical geometry by projecting points and lines on the surface of a sphere onto appropriate planes.

Aryabhata also correctly ascribed the luminosity of the Moon and planets to reflected sunlight. The Indian government named its first satellite Aryabhata launched in his honour.

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Aryabhata – The Indian mathematician

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. Top Questions How did Aryabhata become famous? Aryabhata became famous as a mathematician and astronomer.

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Born: , probably in Ashmaka Died: at age 74 , location unknown Nationality: Indian Famous For: Early mathematician who calculated the value of pi Aryabhata was an Indian mathematician and astronomer. Several of his calculations showed remarkable accuracy for the era, with some remaining the best available for many centuries. He is sometimes referred to as Aryabhata I, since several later scientists of the same name also produced notable works. Some authorities suggest that Kerala is the most likely location, while others believe that Dhaka or Maharashtra are more probable. It is, however, generally accepted that he studied at an advanced level in Kusumapura in modern-day Patna, where he remained for some years.

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This mentioned year corresponds to CE, and implies that he was born in Chandra Hari has argued for the Kerala hypothesis on the basis of astronomical evidence. His 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 mathematical part of the Aryabhatiya covers arithmetic , algebra , plane trigonometry , and spherical trigonometry. It also contains continued fractions , quadratic equations , sums-of-power series, and a table of sines. This work appears to be based on the older Surya Siddhanta and uses the midnight-day reckoning, as opposed to sunrise in Aryabhatiya.

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