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. Brahmagupta was a famous mathematician and astronomer who lived in seventh century India. His ideas were so profound that they still influence.

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If you prefer to suggest your own revision of the article, you can go to edit mode requires login. A positive divided by a positive or a negative divided by a negative is positive; a zero divided by a zero is zero; a positive divided by a negative is negative; a negative divided by a positive is [also] negative.

They are followed by rules for five types of combinations: Number theory in the East. He is believed to have died sometime after AD. 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.

He called multiplication gomutrika in his Brahmasphutasiddhanta. He is believed to have died in Ujjain. The brightness is increased in the direction of the sun.

He was from the state of Rajasthan of northwest India he is often referred to as Bhillamalacarya, the teacher from Bhillamalaand later became the head of the astronomical observatory at Ujjain in central India. The field of mathematics is incomplete without the generous contribution of an Indian mathematician named, Brahmagupta. The kingdom of Bhillamala seems to have been annihilated but Ujjain repulsed the attacks. Brahmagupta was an Indian astronomer and mathematician.

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. Brahmagupta gave the solution of the general linear equation in chapter eighteen of Brahmasphutasiddhanta. He was born in the city of Bhinmal in Northwest India. Through these texts, the decimal number system and Brahmagupta’s algorithms for arithmetic have spread throughout the world.


Bharmagupta assumed the position of an astronomer at Brahmapaksha school.


Some of the work of Bhaskarawhich was published some years later, shows little advancement form that produced by Brahmagupta. He expounded on the rules for dealing with negative numbers e.

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 Biogarphy.

Moreover, in a chapter titled Lunar Cresent he criticized the notion that the Moon is farther from the Earth than the Sun which brahmagputa mentioned in Vedic scripture. Thus Brahmagupta enumerates his first six sine-values as, By using this site, you agree to the Terms of Use and Privacy Policy. After completing his work in Bhillamala, he moved to Ujjain which was also considered a chief location with respect to studies in astronomy.

Brahmagupta is credited to have given the most accurate of the early calculations of the length of the solar year. Lalla and Bhattotpala in the 8th and 9th centuries wrote commentaries on the Khanda-khadyaka.

Neither had anyone else, until Brahmagupta came along! He brought originality to the treatise by adding a great deal of new material to it.

The square of a negative or of a positive is positive; [the square] of zero is zero. Astronomical details reflecting his substantial astronomical work. Brahmagupta’s texts were translated into Arabic by Muhammad al-Fazarian astronomer in Al-Mansur’s court under the names Sindhind and Arakhand. 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.

Many of his important discoveries were written as poetry rather than as mathematical equations! Some of the important contributions made by Brahmagupta in astronomy are his methods for calculating the position of heavenly bodies over time ephemeridestheir rising and setting, conjunctionsand the calculation of solar and lunar eclipses.


The city was a center of learning for mathematics and astronomy, and he flourished as an astronomer in the intellectual atmosphere of the city.

Browse all BookRags Study Guides. Sometime in the eighth century the work of Brahmagupta was brought to Baghdad where it was translated into Arabic and then subsequently brahkagupta was translated into Latin, at which point it spread throughout the western world. The two [lower segments] of the two diagonals are two sides in a triangle; the base [of the quadrilateral is the base of the triangle].

In the 7th century Brahmagupta took up what is now erroneously called the Pell equation. Brahmagupta directed a great deal of criticism towards the work of rival astronomers, and his Brahmasphutasiddhanta displays one of the earliest schisms among Indian mathematicians.

Brahmagupta biography

In mathematics, his contribution to geometry was especially significant. He also gave a valuable interpolation formula for computing sines. The Indians called the Euclidean algorithm the “pulverizer” because it breaks numbers down to smaller and smaller pieces. A Pythagorean triple can therefore be obtained from ab and c by multiplying each of them by the least common multiple of their denominators.

Although, this seems reasonable, Brahmagupta actually got this one wrong. Although it may seem obvious to us now that zero is a number, biograpjy obvious that we can produce it by subtracting a bfahmagupta from itself, and that dividing zero by a non-zero number gives an answer of zero, these results are not actually obvious.

The square-root of the sum of the two products of the sides and opposite sides of a non-unequal quadrilateral is the diagonal. The texts composed biogaphy Brahmagupta were composed in elliptical verse in Sanskritas was common practice in Indian mathematics. It was a huge conceptual leap to see that zero is a number in its own right.