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.
|Published (Last):||2 January 2012|
|PDF File Size:||6.85 Mb|
|ePub File Size:||13.68 Mb|
|Price:||Free* [*Free Regsitration Required]|
Brahmagupta is credited to have given the most accurate of the early calculations of the length of the solar year. Like the algebra of Diophantusthe algebra of Brahmagupta was syncopated. We welcome suggested improvements to any of our articles.
Brahmagupta became an astronomer of the Brahmapaksha school, one of the four major schools of Indian astronomy during this period. 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.
Addition was indicated by juxtaposition, subtraction by placing a dot over the subtrahend, and division by placing the divisor below the dividend, as in our fractional notation but without the bar.
The four fundamental operations addition, subtraction, multiplication, and division were known to many brahmaguptx before Brahmagupta. Retrieved from ” https: He then gives rules for dealing with five types of combinations of fractions: Brahmagupta’s most famous result in geometry is his formula for brahmagypta quadrilaterals. In other projects Wikimedia Commons Wikisource. He expounded on the rules for dealing with negative numbers e.
He stressed the importance of these topics as a qualification for a mathematician, or calculator ganaka.
Brahmagupta Biography – Childhood, Life Achievements & Timeline
The nature of squares: The division was primarily about the application of mathematics to the physical world, rather than about the mathematics itself. Each yuga is progressively shorter than the preceding one, corresponding to a decline in the moral and physical state of humanity. He later revised his estimate and proposed a length of days, 6 hours, 12 minutes, and 36 seconds.
Previously, the sum 3 – 4, for example, marhematician considered to be either meaningless or, at best, just zero. Your contribution may be further edited by our staff, and its publication is subject to our final approval.
Prithudaka Svamin wrote commentaries on both of his works, rendering difficult verses into simpler language and adding illustrations. Ghurye believed that he might have been from the Multan or Abu region.
Here Brahmagupta found the result in terms of the sum of the first n integers, rather than in terms of n as is the modern practice. He is believed to have written many works though only a few survive today. He called multiplication gomutrika in his Brahmasphutasiddhanta.
Prithudaka Svamina later commentator, called him Bhillamalacharyathe teacher from Bhillamala. It is speculated that it was the revision of the siddhanta he received from the school. The Ancient Roots of Modern Science. 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.
The Progenitors, twins; Ursa Major, twins, the Vedas; the gods, fires, six; flavors, dice, the gods; the moon, five, the sky, the moon; the moon, arrows, suns [ He went on to solve systems of simultaneous indeterminate equations stating that the desired variable must first be isolated, and then the equation must be divided by the desired variable’s coefficient. 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.
The work is thought to be a revised version of the received siddhanta of the Brahmapaksha school, incorporated with some of his own new material.
Almost years later, in the 12th Century, another Indian mathematician, Bhaskara II, showed that the answer should be infinity, not zero on the grounds that 1 can be mathematifian into an infinite number of pieces of size zeroan answer that was considered correct for centuries.
Moreover, in a chapter titled Lunar Cresent he criticized the ,athematician that the Moon is farther from the Earth than the Sun which was mentioned in Vedic scripture.
That of which [the square] is the square is [its] square-root. He composed his texts in elliptic verse in Sanskrit, as was common practice in Indian mathematics of his time.
Brahmagupta was the first to give rules to compute with zero. Imaging two triangles within [a cyclic quadrilateral] with unequal sides, the two diagonals are the two bases. He is believed to have died in Ujjain.