Biography of great indian mathematician bhaskara

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    Bhāskara II

    Indian mathematician and astronomer (1114–1185)

    Not to be confused with Bhāskara I.

    Bhāskara II

    Statue of Bhaskara II at Patnadevi

    Bornc. 1114

    Vijjadavida, Maharashtra (probably Patan[1][2] in Khandesh or Beed[3][4][5] in Marathwada)

    Diedc. 1185(1185-00-00) (aged 70–71)

    Ujjain, Madhya Pradesh

    Other namesBhāskarācārya
    Occupation(s)Astronomer, mathematician
    EraShaka era
    DisciplineMathematician, astronomer, geometer
    Main interestsAlgebra, arithmetic, trigonometry
    Notable works

    Bhāskara II[a] ([bʰɑːskərə]; c.1114–1185), also known as Bhāskarāchārya (lit. 'Bhāskara the teacher'), was an Indian polymath, mathematician, astronomer and engineer. From verses in his main work, Siddhānta Śiromaṇi, it can be inferred that he was born in 1114 in Vijjadavida (Vijjalavida) and living in the Satpura mountain ranges of Western Ghats, believed to be the town of Patana in Chalisgaon, located in present-day Khandesh region of Maharashtra by scholars.[6] In a temple in Maharashtra, an inscription supposedly created by his grandson Changadeva, lists Bhaskaracharya's ancestral lineage for several generations bef

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    Bhaskara I

    x=0formula = 0.00000sinx = 0.00000error = 0.00000x=π/20​formula = 0.15800sinx = 0.15643error = 0.00157x=π/10​formula = 0.31034sinx = 0.30903error = 0.00131x=3π/20​formula = 0.45434sinx = 0.45399error = 0.00035x=π/5​formula = 0.58716sinx = 0.58778error = -0.00062x=π/4​formula = 0.70588sinx = 0.70710error = -0.00122x=π/10​formula = 0.80769sinx = 0.80903error = -0.00134x=7π/20​formula = 0.88998sinx = 0.89103error = -0.00105x=2π/5​formula = 0.95050sinx = 0.95105error = -0.00055x=9π/20​formula = 0.98753sinx = 0.98769error = -0.00016x=π/2​formula = 1.00000sinx = 1.00000error = 0.00000

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    Bhāskara i - Great Indian Mathematician

    Works of Bhaskara i

    Bhaskara i is famous for the following works:

    1. Zero, positional arithmetic, the approximation of sine.

    2. The three treatises he wrote on the works of Aryabhata (476–550 CE )

    • The Mahabhaskariya (“Great Book of Bhaskara”)

    • The Laghubhaskariya (“Small Book of Bhaskara”),

    • The Aryabhatiyabhashya (629)

    Zero, positional arithmetic, approximation of sine

    One of the most important mathematical contributions is related to the representation of numbers in a positional system. The first positional representations were known to Indian astronomers about 500 years ago before Bhaskaracharya, but the numbers were not written in figures, but in words, symbols or pictorial representations. For example, the number 1 was given as the moon, since there is only one moon. The number 2 was represented anything in pairs; the number 5 could relate to the five senses and so on…

    He explains a number given in this system, using the formula ankair api, ("in figures, this reads") by repeating it written with the first nine Brahmi numerals, using a small circle for the zero. Brahmi numerals system, dating from 3rd c

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