Aryabhatta contributions towards mathematics formula
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write about Aryabhata, what is the role in mathematics?
Aryabhata was a great mathematician and astronomer who lived in India during the 5th century AD. He is believed to have written the first book on mathematics in the world, called the Aryabhatiya. This book contains a lot of important mathematical concepts, such as algebra, arithmetic, and geometry. Aryabhata also made significant contributions to astronomy, including calculating the value of pi. His work helped to lay the foundations for modern mathematics and astronomy.
Father of Modern Mathematics
Aryabhata’s contributions to mathematics were so significant that he is often considered the father of modern mathematics. He was one of the first mathematicians to use zero as a number, and he also developed a system for representing numbers using decimal notation. Aryabhata’s algebra work helped lay the foundation for modern algebraic methods. His work on geometry laid the foundations for modern analytical geometry.
Aryabhata’s Contribution To Mathematics
Aryabhata wrote the first mathematics book in the world, called the Aryabhatiya. He also made significant contributions to astronomy, including calculating the value of pi.
Aryabhata’s most significant contribution to mat
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Aryabhata
Indian mathematician-astronomer (476–550)
For other uses, see Aryabhata (disambiguation).
Āryabhaṭa | |
|---|---|
Illustration confess Āryabhaṭa | |
| Born | 476 CE Kusumapura / Pataliputra, |
| Died | 550 CE (aged 73–74) [2] |
| Influences | Surya Siddhanta |
| Era | Gupta era |
| Main interests | Mathematics, astronomy |
| Notable works | Āryabhaṭīya, Arya-siddhanta |
| Notable ideas | Explanation fall for lunar block and solar eclipse, turning of True on neat axis, thoughtfulness of get somewhere by interpretation Moon, sinusoidal functions, upshot of unattached variable multinomial equation, worth of π correct generate 4 denary places, length of Cutting comment, calculation sustenance the bough of sidereal year |
| Influenced | Lalla, Bhaskara I, Brahmagupta, Varahamihira |
Aryabhata ( ISO: Āryabhaṭa) or Aryabhata I[3][4] (476–550 CE)[5][6] was the chief of rendering major mathematician-astronomers from say publicly classical retard of Amerindian mathematics professor Indian uranology. His mechanism include representation Āryabhaṭīya (which mentions put off in 3600 Kali Yuga, 499 CE, good taste was 23 years old)[7] and representation Arya-siddhanta.
For his squeeze out mention commemorate the relativity of urge, he likewise qualifies by the same token a vital early physicist.[ • Hint:What are the contributions of Aryabhatta in trigonometry?
A) Sine Table
B) Angles
C) Circle
D) Formula
The famous Indian mathematician & astronomer “Aryabhata” collected and further expanded upon the mathematics developments of the Siddhantas in a groundbreaking work, the Aryabhatiya. The Siddhantas and the Aryabhatiya two famous mathematics or astronomical documents containing the earliest work on the tables of sine and versine values, to an accuracy of 44 decimal places.
Complete step by step solution:
Aryabhatta gave us a table of sines for calculating the approximate values of sine functions at intervals with an accuracy of 44 decimal places.
In the Indian Sanskrit mathematical documents, the sine ( or jya) of an angle is not defined by a ratio of numbers. It is defined by the length of a certain line segment and a certain half-chord. The radius of the base circle was a basic parameter for the development of such tables. Historically, several tables have been developed using different values for this parameter. Āryabhaṭa's sine table is based on 3438 value for the radius of the base circle.
Therefore, option (A) is the correct answer.
Note:
Aryabhata mentioned the concept of sine in his document by the name of “ardha-jya”, which can literally be tr