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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After completing his work in Bhillamala, he moved to Ujjain which was also considered a chief location with respect to studies in astronomy. Here Brahmagupta found the result in terms of the sum of the brahmxgupta n integers, rather than in terms of n as is the modern practice. He composed his texts in elliptic verse in Sanskrit, as was common practice in Indian mathematics of his time.
Brahmagupta – Indian Mathematics – The Story of Mathematics
Wikimedia Commons has media related matheematician Brahmagupta. Little is known about the life of Bhaskara; I is appended to his name to distinguish him from a 12th-century Indian astronomer of the….
He expounded on the rules for dealing with negative numbers e.
Thank you for your feedback. In Brahmagupta devised and used a special case of the Newton—Stirling interpolation formula of the second-order to interpolate new values of the sine function from other values already tabulated.
He gave formulas for the lengths and areas of other geometric 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.
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.
This information can be translated into the list of sines,,,,,,andwith the radius being In addition to astronomy, his book also contained various chapters on mathematics. It is speculated that it was the revision of the siddhanta he received from the school.
The kingdom of Bhillamala seems to have been annihilated but Ujjain repulsed the attacks. Previously, the sum 3 – 4, for example, was considered to be either meaningless or, at best, just zero.
Also, if m and x are rational, so are dab and c. To obtain a recurrence one has to know that a rectangle proportional to the original eventually recurs, a fact that was rigorously proved only in by Lagrange. The sum of the cubes is the square of that [sum] Piles of these with identical balls [can also be computed]. Brahmaguptaborn —died c.
Expeditions were sent into Gurjaradesa. The solution of the general Pell’s equation would have to wait for Bhaskara II in c. For the volume of a frustum of a pyramid, he gives the “pragmatic” value as the depth times the square of the mean of the edges of the top and bottom faces, and he gives the “superficial” volume as the depth times their mean area. A good deal of it is astronomy, but it also contains key chapters on mathematics, including brahmagypta, geometry, trigonometry and algorithmics, which are believed to contain new insights due to Brahmagupta himself.
Moreover, in a chapter titled Lunar Cresent he criticized the notion that the Moon is farther from the Earth than the Sun which was mentioned in Vedic scripture. Bhaskara IIndian astronomer and mathematician who helped to disseminate the mathematical work of Aryabhata born This section needs expansion with: He lived in Bhillamala modern Bhinmal during the reign of the Chapa dynasty ruler, Vyagrahamukha.
His work was further simplified and added illustrations to by Prithudaka Svamin. He is the author of two early works on mathematics and astronomy: The next formula apparently deals with the volume of a frustum of a square pyramid, where the “pragmatic” volume is the depth times the square of the mean of the edges of the top and bottom faces, while the “superficial” volume is the depth times their mean area.
Little is known of these authors. His remaining eighteen sines are,,,, In his work on arithmetic, Brahmagupta explained how to find the matuematician and cube-root of an integer and gave rules facilitating the computation of squares and square roots. Indian astronomic material circulated widely for centuries, even passing into medieval Latin texts.
See the events in life of Brahmagupta in Chronological Order. 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.
A negative or a positive divided by zero has that [zero] as its divisor, or zero divided by a negative or a positive [has that negative or positive as its divisor].
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. The book is written in arya-meter comprising verses and 24 chapters. The procedures for finding the cube and cube-root of an integer, however, are described compared the latter to Aryabhata’s very similar formulation.