An introduction to the life of brahmagupta

He stressed the importance of these topics as a qualification for a mathematician, or calculator ganaka. The value of for the radius is a traditional value that was also used by Aryabhata, although it is not known why Brahmagupta used instead of the in his Brahmasphutasiddhanta.

The brightness is increased in the direction of the sun.

He is the only scientist we have to thank for discovering the properties of precisely zero… Brahmagupta was an Ancient Indian astronomer and mathematician who lived from AD to AD. Little else is known of the life of this mathematician and astronomer who flourished 1, years ago, other than that he was a devout An introduction to the life of brahmagupta who took care not to antagonize his own religious leaders, attacking an idea advanced by thinkers in the competing Jain religion correctly, as it turned out that the earth rotated on a central axis.

He also gave partial solutions to certain types of indeterminate equations of the second degree with two unknown variables. Triangles Brahmagupta dedicated a substantial portion of his work to geometry.

His straight-forward rules for the volumes of a rectangular prism and pyramid are followed by a more ambiguous one, which may refer to finding the average depth of a sequence of puts with different depths.

The product or quotient of two fortunes is one fortune. The rupas are [subtracted on the side] below that from which the square and the unknown are to be subtracted. Biography Name While there is a tendency to misspell his name as "Aryabhatta" by analogy with other names having the " bhatta " suffix, his name is properly spelled Aryabhata: First let us give an overview of their contents.

Brahmagupta Biography

It turns out that the smallest value for N is Thus, the explication of meaning is due to commentators. He essentially manipulated right triangles to produce isosceles triangles, scalene triangles, rectangles, isosceles trapezoids, isosceles trapezoids with three equal sides, and a scalene cyclic quadrilateral.

It also contains continued fractionsquadratic equationssums-of-power series, and a table of sines. Other work by Brahmagupta included arithmetic progression and theorems relating to right angle triangles.

His estimates of the length of the year were strikingly accurate for their time.

In Arabic, jiba is a meaningless word. There is also a table of sines jyagiven in a single verse. Measurements and constructions In some of the verses before verse 40, Brahmagupta gives constructions of various figures with arbitrary sides. At the end of a bright [i. It is interesting to note also that the algebra of Brahmagupta, like that of Diophantus, was syncopated.

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. World of Mathematics, 2 vols. He further finds the average depth of a series of pits.

We begin by setting out the sum as follows: The name "Aryabhatiya" is due to later commentators. The caliph invited a scholar of Ujjain by the name of Kankah in A. Brahmagupta wrote two main texts, both of which deal with arithmetic and astronomy.


Scholars state that he incorporated a great deal of originality to his revision, adding a considerable amount of new material.

Their two segments are separately the upper and lower segments [formed] at the intersection of the diagonals. The second, on the other hand, deals with what Brahmagupta calls "the pulverizer, zero, negatives, positives, unknowns, elimination of the middle term, reduction to one [variable], bhavita [the product of two unknowns], and the nature of squares [second-degree indeterminate equations]" - that is, techniques for operating with unknown quantities.

Give the rate of interest. The accurate [values] are the square-roots from the squares of those two multiplied by ten. He was the head of the astronomical observatory at Ujjain his probable birthplace.Lalla, Bhaskara I, Brahmagupta, Varahamihira: Contents.

the fact that several commentaries on the Aryabhatiya have come from Kerala has been used to suggest that it was Aryabhata's main place of life and activity; however, many commentaries have come from outside Kerala, Influences: Surya Siddhanta.

Brahmagupta, whose father was Jisnugupta, wrote important works on mathematics and astronomy. In particular he wrote Brahmasphutasiddhanta Ⓣ, in 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.

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. His. May 03,  · Brahmagupta's contribution to Mathematics Against the popular perception, I would say that none including Aryabhat has invented ‘zero’ because the concept of ‘zero’ was always part of our life in different way academically or professionally since the origin of the universe.

Brahmagupta, however, realized that there could be such a thing as a negative number, which he referred to as “debt” as a opposed to “property”. He expounded on the rules for dealing with negative numbers (e.g.

a negative times a negative is a positive, a negative times a positive is a negative, etc). Brahmagupta was a highly accomplished ancient Indian astronomer and mathematician. This biography of Brahmagupta provides detailed information about his childhood, life, achievements, works & Of Birth: Bhinmal.

An introduction to the life of brahmagupta
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