BIOGRAPHY OF BRAHMAGUPTA PDF
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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Lalla and Bhattotpala in the 8th and 9th centuries wrote commentaries on the Khanda-khadyaka. A History of Mathematics.
He further finds the average depth of a series of pits. In chapter twelve of his BrahmasphutasiddhantaBrahmagupta provides a formula useful for generating Pythagorean triples:. Brahmagupta became an astronomer of the Brahmapaksha school, one of the four major schools of Indian astronomy during his era.
Besides being a great mathematician he was an even brilliant astronomer who wrote several books on these subjects. Whatever is the square-root of the rupas multiplied by the square [and] increased by the square of half the unknown, diminish that by half the unknown [and] divide [the remainder] by its square.
During the rule of Chapa dynasty ruler, Vyagrahamukha, he lived in Bhillamala according to historian, yet there is no conclusive proof of that. Thus Brahmagupta enumerates his first six sine-values as, However, he lived and worked there for a good part of his life.
Its perpendicular is the lower portion of the [central] perpendicular; the upper portion of the [central] perpendicular is half of the brahmaguptaa of the [sides] perpendiculars diminished by the lower [portion of the central perpendicular]. This text is a practical manual of Indian astronomy which is meant to guide students.
Further work exploring the longitudes of the planets, diurnal rotation, lunar and solar eclipses, risings and biograohy, the moon’s crescent and conjunctions of the planets, are discussed in his treatise Khandakhadyaka. He studied the five traditional siddhanthas on Indian astronomy as well as the work of other astronomers including Aryabhata ILatadeva, Pradyumna, VarahamihiraSimha, Srisena, Vijayanandin and Vishnuchandra.
He further gave rules of using zero with negative and positive numbers. The city was a center of biobraphy for mathematics and astronomy, and he flourished as an astronomer in the intellectual atmosphere of the city.
Brahmagupta – Wikipedia
Expeditions were sent into Gurjaradesa. The sum of a negative and zero is negative, [that] of a positive and zero positive, [and that] of two zeros zero. In mathematics, his contribution to geometry was especially significant. Unlike most European algebraists of the Middle Ages, he recognized negative and irrational numbers as possible roots of an equation.
The product of the first [pair], bioography by the multiplier, with the product of the last [pair], is the last computed. He brought originality to the treatise by adding a great deal of new material to it.
See the events in life of Brahmagupta in Chronological Order.
This page was last edited on 30 Decemberat In some of the verses before verse 40, Brahmagupta gives constructions of various figures with arbitrary sides.
The Ancient Roots of Modern Science. Hoyland, Islamic Cultures, Islamic Contexts: The square of a negative or of a positive is positive; [the square] of zero is zero.
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It is speculated that it was the revision of the siddhanta he received from the school. Some of the major contribution to the field of astronomy by Brahmagupta are solar and lunar eclipse calculations and methods brahmagupa calculating the position of heavenly bodies over time.
He composed his texts in elliptic verse in Sanskrit, as was common practice in Indian mathematics of his time. The court of Caliph Al-Mansur — received an embassy from Sindh, including an astrologer called Kanaka, who brought possibly memorised astronomical texts, including those of Brahmagupta. He later revised his estimate and proposed a length of days, 6 hours, 12 minutes, and biogra;hy seconds. He is also known as Aryabhata I or Aryabhata the Elder to distinguish him from a 10th-century Indian mathematician….