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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Brahmagupta was a highly accomplished ancient Indian astronomer and mathematician. Brahmagupta was a highly accomplished ancient Indian astronomer and mathematician who was the first to give rules to compute with zero.
He composed his texts brahmagupya elliptic verse in Sanskrit, as was common practice in Indian mathematics of his time. An orthodox Hindu, he took care bioyraphy to antagonize his own religious leaders but was very bitter in criticizing the ideas advanced by rival astronomers hailing from the Jain religion.
He was among the few thinkers of his era who had realized that the earth was not flat as many believed, but a sphere.
Brahmagupta (ca. ca. ) — from Eric Weisstein’s World of Scientific Biography
Brahmagupta was born in AD into an orthodox Shaivite Hindu family. It is generally believed that he was born in Ujjain.
Not much is known about his early life. As a young man he studied astronomy extensively. He was well-read in the five traditional siddhanthas on Indian astronomy, and also studied the work of other ancient astronomers such as Aryabhata I, Latadeva, Pradyumna, Varahamihira, Simha, Srisena, Vijayanandin and Vishnuchandra. Brahmagupta became an astronomer of the Brahmapaksha school, one of the four major schools of Indian astronomy during his era.
He is believed to have lived and worked in Bhinmal in present day Rajasthan, India, for a few years.
The city was a center brahmagypta learning for mathematics and astronomy, and he flourished as an astronomer in the intellectual atmosphere of the city. The work is thought to be a revised version of the received siddhanta of the Brahmapaksha school, incorporated with some of his own new material. Primarily a book of astronomy, it also contains several chapters on mathematics.
Brahmagupta is credited to have given the most accurate of the early calculations of the length of the solar year. He initially estimated it to be at days, 6 hours, 5 minutes, and 19 seconds which is remarkably close to the actual value of days, 5 hours, 48 minutes, and about 45 seconds. He later revised his estimate and proposed a length of days, 6 hours, 12 minutes, and 36 seconds. His work was very significant considering the fact that he had no telescope or scientific equipment to help him arrive at his conclusions.
In addition to astronomy, his book also contained various chapters on mathematics. He further gave rules of using zero with negative and positive numbers.
He also described the rules of operations on negative numbers which come quite close to the modern understanding of numbers. He also introduced new methods for solving quadratic equations and gave equations to solve systems of simultaneous indeterminate equations, in addition to providing two equivalent solutions to the general quadratic equation. In his seminal book he provided a formula useful for generating Pythagorean triples and also gave brahmaguupta recurrence relation for generating solutions to certain instances of Diophantine equations.
In mathematics, his contribution to geometry was especially significant.
He gave formulas for the lengths and areas of other biogaphy figures as well, and the Brahmagupta’s theorem named after him states that if a cyclic quadrilateral has perpendicular diagonals, then the perpendicular diagonal to a side from the point of intersection of the diagonals always bisects the opposite side.
The text also elaborated on the methods of solving linear and quadratic equations, rules for summing series, and a method for computing square roots. It also contained the first clear description of the quadratic formula the solution of the quadratic equation.
The details regarding his family life are obscure. He is believed to have died sometime after AD. See the events in life of Brahmagupta in Brahmaupta Order. Carl Gustav Jacob Jacobi German. Maria Gaetana Agnesi Italian.