Brahmagupta, whose father was Jisnugupta, wrote important works on mathematics and astronomy. In particular he wrote Brahmasphutasiddhanta Ⓣ, in Brahmagupta was an Indian mathematician, born in AD in Bhinmal, a state of Rajhastan, India. He spent most of his life in Bhinmal which was under the rule. Brahmagupta, (born —died c. , possibly Bhillamala [modern Bhinmal], Rajasthan, India), one of the most accomplished of the ancient Indian astronomers.
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In Brahmagupta devised and used a special case of the Newton—Stirling interpolation formula of the second-order to interpolate new values of the sine function from other values already tabulated. Some of the major contribution to the field of astronomy by Brahmagupta are solar and lunar eclipse calculations and methods for calculating the position of heavenly bodies over time. Moreover, in a chapter titled Lunar Cresent he criticized the notion that the Moon is farther from the Earth than the Sun which was mentioned in Vedic scripture.
Brahmagupta’s texts were translated into Arabic by Muhammad al-Fazarian astronomer in Al-Mansur’s court under the names Sindhind and Arakhand. This text is a practical manual of Indian astronomy which is meant biographj guide students.
Brahmagupta | Indian astronomer |
He continues to give formulas for the lengths and areas of geometric figures, such as the circumradius of an isosceles trapezoid and a scalene quadrilateral, and the lengths of diagonals in a scalene cyclic quadrilateral.
The role of astronomy and astrology number theory In number theory: Astronomical details reflecting his substantial astronomical work.
The square of the diagonal is diminished by the square of half the sum of the base and the top; the square-root is the perpendicular [altitudes]. Although Brahmagupta does not explicitly state that these quadrilaterals are cyclic, it is apparent from his rules that this is the case. In this fine classification of mathematical procedures, he also listed four methods for multiplication, and five rules for reducing a rational expression to a single fraction.
Aryabhataastronomer and the earliest Indian mathematician whose work and history are available to modern scholars. In addition to that his work was commented upon by Lalla and Bhattotpala in the eighth and ninth century. This current system is based on the Hindu Arabic number system and first appeared in Brahmasphutasiddhanta. Inasmuch as Brahmagupta used some of the same examples as Diophantus, we see again the likelihood of Greek influence in India – or the possibility that they both made use of a common source, possibly from Babylonia.
In the same way that the half seen by the sun of a pot standing in sunlight is bright, and the unseen half dark, so is [the illumination] of the moon [if it is] beneath the sun.
Brahmagupta – Mathematician Biography, Contributions and Facts
In his books he dedicated several chapters critiquing mathematical theories and their application. Also, if m and x are rational, so are dab and c. Sir Isaac Newton, English physicist and mathematician, who was the culminating figure of the scientific…. By using this site, you agree to allow cookies to be placed. Like the algebra of Diophantusthe algebra of Brahmagupta was syncopated.
He posed the challenge to find a perfect square that, when multiplied by 92 and increased by 1, yields another perfect square. Views Read Edit View history.
He finds the volume of rectangular prisms, pyramids, and the frustum of a square pyramid. Multiplication, evolution, and unknown quantities were represented by abbreviations brahmaguta appropriate terms.
The text also elaborated on the methods of solving linear and quadratic equations, rules for summing series, and a method for computing square roots. Here Brahmagupta uses names of objects to represent the digits of place-value numerals, as was common with numerical data in Sanskrit treatises.
You can make it easier for us to review and, hopefully, publish your contribution by keeping a few points in mind. Aryabhata lived in Kusumapura near modern Patnaand Brahmagupta is said to have been from Bhillamala modern Bhinmalwhich was the capital of the Gurjara-Pratihara dynasty. After completing his work in Bhillamala, he moved to Ujjain which was also considered a chief location with respect to studies in astronomy.