He made advances in astronomy and most importantly in number systems including algorithms for square roots and the solution of quadratic equations. Biography Brahmagupta, whose father was Jisnugupta, wrote important works on mathematics and astronomy. The work was written in 25 chapters and Brahmagupta tells us in the text that he wrote it at Bhillamala which today is the city of Bhinmal. This was the capital of the lands ruled by the Gurjara dynasty.

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Brahmagupta , born —died c. He also had a profound and direct influence on Islamic and Byzantine astronomy. Brahmagupta was an orthodox Hindu, and his religious views, particularly the Hindu yuga system of measuring the ages of mankind, influenced his work. It was translated into Arabic in Baghdad about and had a major impact on Islamic mathematics and astronomy. In addition to expounding on traditional Indian astronomy in his books, Brahmagupta devoted several chapters of Brahma-sphuta-siddhanta to mathematics.

He stressed the importance of these topics as a qualification for a mathematician, or calculator ganaka. He also gave partial solutions to certain types of indeterminate equations of the second degree with two unknown variables. Perhaps his most famous result was a formula for the area of a cyclic quadrilateral a four-sided polygon whose vertices all reside on some circle and the length of its diagonals in terms of the length of its sides.

He also gave a valuable interpolation formula for computing sines. Info Print Cite. Submit Feedback. Thank you for your feedback.

Home Science Astronomy. Written By: Takao Hayashi. Britannica Quiz. Get to Know Asia. Get exclusive access to content from our First Edition with your subscription. Subscribe today. Learn More in these related Britannica articles: number theory: Number theory in the East. In the 7th century Brahmagupta took up what is now erroneously called the Pell equation. He posed the challenge to find a perfect square that, when multiplied by 92 and increased by 1, yields another perfect square.

That is, he sought whole numbers x and y such that 92 x 2 …. Indian mathematics: The role of astronomy and astrology. Little is known of these authors. Aryabhata lived in Kusumapura near modern Patna , and Brahmagupta is said to have been from Bhillamala modern Bhinmal , which was the capital of the Gurjara-Pratihara dynasty. Yuga , in Hindu cosmology, an age of humankind.

Each yuga is progressively shorter than the preceding one, corresponding to a decline in the moral and physical state of humanity. Four such yuga s called Krita, Treta, Dvapara, and Kali, after the throws of an Indian game of dice make up the…. History at your fingertips. Sign up here to see what happened On This Day , every day in your inbox! Email address. By signing up, you agree to our Privacy Notice. Be on the lookout for your Britannica newsletter to get trusted stories delivered right to your inbox.

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## Essay on Brahmagupta Mathematician

The great 7th Century Indian mathematician and astronomer Brahmagupta wrote some important works on both mathematics and astronomy. He was from the state of Rajasthan of northwest India he is often referred to as Bhillamalacarya, the teacher from Bhillamala , and later became the head of the astronomical observatory at Ujjain in central India. Most of his works are composed in elliptic verse, a common practice in Indian mathematics at the time, and consequently have something of a poetic ring to them. In his work on arithmetic, Brahmagupta explained how to find the cube and cube-root of an integer and gave rules facilitating the computation of squares and square roots. He also gave rules for dealing with five types of combinations of fractions.

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## BRAHMAGUPTA: MATHEMATICIAN AND ASTRONOMER

Brahmagupta , born —died c. He also had a profound and direct influence on Islamic and Byzantine astronomy. Brahmagupta was an orthodox Hindu, and his religious views, particularly the Hindu yuga system of measuring the ages of mankind, influenced his work. It was translated into Arabic in Baghdad about and had a major impact on Islamic mathematics and astronomy. In addition to expounding on traditional Indian astronomy in his books, Brahmagupta devoted several chapters of Brahma-sphuta-siddhanta to mathematics. He stressed the importance of these topics as a qualification for a mathematician, or calculator ganaka.

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## Brahmagupta

He spent most of his life in Bhinmal which was under the rule of King Vyaghramukha. He was the head of the astronomical observatory at Ujjain which was the center of mathematics in India witnessing the work of many extraordinary mathematicians. Brahmagupta wrote many textbooks for mathematics and astronomy while he was in Ujjain. It contains a lot of criticism on the work of his rival mathematicians. Brahmagupta had many discrepancies with his fellow mathematicians and most of the chapters of this book talked about the loopholes in their theories.

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Brahmagupta born c. Brahmagupta was the first to give rules to compute with zero. The texts composed by Brahmagupta were in elliptic verse [ clarification needed ] in Sanskrit , as was common practice in Indian mathematics. As no proofs are given, it is not known how Brahmagupta's results were derived. Brahmagupta was born in CE according to his own statement. He lived in Bhillamala modern Bhinmal during the reign of the Chavda dynasty ruler, Vyagrahamukha. He was the son of Jishnugupta and was a Hindu by religion who follow Shaivite.