Brahmagupta was an Ancient Indian astronomer and mathematician who lived from AD to AD. He was born in the city of Bhinmal in Northwest India. Brahmagupta, whose father was Jisnugupta, wrote important works on mathematics and astronomy. In particular he wrote Brahmasphutasiddhanta Ⓣ, in The field of mathematics is incomplete without the generous contribution of an Indian mathematician named, Brahmagupta. Besides being a great.

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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 further gives a theorem on rational triangles. In addition to matthematician, his book also contained various chapters on mathematics.

Brahmagupta dedicated a substantial portion of his work to geometry. The operations of multiplication and evolution the taking of rootsas well as unknown quantities, were represented by abbreviations of appropriate words.

The additive is equal to the product of the additives. As no proofs are given, it is not known how Brahmagupta’s results were derived.

Takao Hayashi Learn More in these related Britannica articles: Privacy Policy Manage Cookies. In the 7th century Brahmagupta took up what is now erroneously called the Pell equation. 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.

Our editors will review what you’ve submitted, and if it meets our criteria, we’ll add it to the article. Brahmagupta became an astronomer of the Brahmapaksha school, one of the four major schools of Indian astronomy during his era.

Brahmagupta | Indian astronomer |

The reader is expected to know the basic arithmetic operations as far as taking the square root, although he explains how to find the cube and cube-root of an integer and later gives rules facilitating the computation of squares and square roots. Internet URLs are the best. He lived in Bhillamala modern Bhinmal during the reign of the Chapa dynasty ruler, Vyagrahamukha. After completing his work in Bhillamala, he moved to Ujjain which was also considered a chief location with respect to studies in astronomy.


He then gives rules for dealing with five types of combinations of fractions: In Brahmasphutasiddhanta, multiplication was named Gomutrika. Thank you for your feedback.

The sum of the cubes is the square of that [sum] Piles of these with identical balls [can also be computed]. The difference between rupaswhen mathematucian and divided by the difference of the unknowns, is the unknown in the equation. Previously, the sum 3 – 4, for example, was considered to be either meaningless or, at best, just zero. He further finds the average depth of a series of bramhagupta.

In addition to being an accomplished astronomer, he was also a much revered mathematician. It also contained the first clear description of the quadratic formula the solution of the quadratic equation.

Its perpendicular is the lower portion of the [central] perpendicular; the upper portion of the [central] perpendicular is half of the sum of the [sides] perpendiculars diminished by the lower [portion of the central perpendicular].

The sum of a negative and zero is negative, [that] of a positive brabmagupta zero positive, [and that] of two zeros zero.

Brahmagupta – Wikipedia

The great 7th Century Indian mathematician and astronomer Brahmagupta wrote some important works on both mathematics and astronomy. 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.

Also, if m and x are rational, so are dab and c. Yugain Hindu cosmology, an age of humankind. 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. Zero Modern number system Brahmagupta’s theorem Brahmagupta’s identity Brahmagupta’s problem Brahmagupta-Fibonacci identity Brahmagupta’s interpolation formula Brahmagupta’s formula.


He also gave partial solutions to certain types of indeterminate equations of the second degree with two unknown variables. Further work exploring the longitudes of the planets, diurnal rotation, lunar and solar eclipses, risings and settings, the moon’s crescent and conjunctions of the planets, are discussed in his treatise Khandakhadyaka.

However, he lived and worked there for a good part of his life. The accurate [area] is the square root from the product of the halves of the sums of the sides diminished by [each] side of the quadrilateral. The procedures for finding the cube and cube-root of an integer, however, are described compared brahmwgupta latter to Aryabhata’s very similar formulation.


He is believed to have died in Ujjain. 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. This text is a practical manual of Indian astronomy which is meant to guide students. He further gave rules of using zero with negative and positive numbers. In other projects Wikimedia Commons Wikisource. Diminish by the middle [number] the square-root of the rupas multiplied by four times the square and increased by the square of the middle [number]; divide the remainder by twice the square.

He was the son of Jishnugupta and was a Shaivite by religion. This current system is based on the Hindu Arabic number system and first appeared in Brahmasphutasiddhanta.

Subtract the colors different from the first color. It is interesting to note also that the algebra of Brahmagupta, like that of Diophantus, was syncopated. It was also a centre of learning for mathematics and astronomy. Brahmagupta was a highly accomplished ancient Indian astronomer and mathematician.