## BIOGRAPHY OF BRAHMAGUPTA PDF

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

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Also, if m and x are rational, so are dab and c.

Internet URLs are the best. Prithudaka Svamin wrote commentaries on both of his works, rendering difficult verses into simpler language and adding illustrations.

He is believed to have died sometime after AD.

The Nothing That Is: Brahmagupta distinguished twenty arithmetical operations logisticsincluding the extraction of roots and the solution of proportions, and eight measurements determinations.

As no proofs are given, it is not known how Brahmagupta’s results were derived. Through these texts, the decimal number system and Brahmagupta’s algorithms for arithmetic have spread throughout the world.

You can help by adding to it. The text also elaborated on the methods of solving linear and quadratic equations, rules for summing series, and a method for computing square roots. AndrewsBonn Boyer, C. Brahmagupta was a highly accomplished ancient Indian astronomer and mathematician. It is speculated that it was the revision of the siddhanta he received from the school.

### Brahmagupta | Indian astronomer |

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]. According to himself, Brahmagupta was born in CE and was the follower of Shaivism.

The diameter and the square of the radius [each] multiplied by 3 are [respectively] the practical circumference and the area [of a circle]. In addition to that his work was commented upon by Lalla and Bhattotpala in the eighth and ninth century.

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

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. Aryabhataastronomer and the earliest Indian mathematician whose work and history are available to modern scholars.

His work was further simplified and added illustrations to by Prithudaka Svamin. This page was last edited on 30 Decemberat He further gave rules of using zero with negative and positive numbers.

This entry contributed by Margherita Barile Hindu astronomer and biograpjy who applied algebraic methods to astronomical problems.

## Brahmagupta

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.

He established a formula for the area of cyclic quadrilaterals derived from Heron’s formulaand continued Diophantus’ work by characterizing all the solutions brshmagupta linear congruences, and by proposing the quadratic Diophantine equation which nowadays is known as Pell equation.

Sir Isaac Newton, English physicist and mathematician, who was the culminating figure of the scientific…. Bhillamala, called pi-lo-mo-lo by Xuanzangwas the apparent capital of the Gurjaradesathe second largest kingdom of Western India, comprising southern Rajasthan and northern Gujarat in modern-day India. It is generally believed that he was born in Ujjain. The four fundamental operations addition, subtraction, multiplication, and division were known to many cultures before Brahmagupta.

Brahmagipta 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.

Please try again later. Astronomical details reflecting his substantial astronomical work.

It was the hub of all mathematical and biogtaphy learning. The base decreased and increased by the difference between the squares of the sides divided by the base; when divided by two they are the true segments.

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. Unlike most European biogaphy of the Middle Ages, he recognized negative and irrational numbers as possible roots of an equation.

He was the son of Jishnugupta and was a Shaivite by religion. Help us improve this article! Zero Modern number system Brahmagupta’s theorem Brahmagupta’s identity Brahmagupta’s problem Brahmagupta-Fibonacci identity Brahmagupta’s interpolation formula Brahmagupta’s formula. The operations of multiplication and evolution the taking of rootsas well as unknown quantities, were represented by abbreviations of appropriate words.

Brahmagupta is credited to have given the most accurate of the early calculations of the length of the solar year. In addition to expounding on traditional Indian astronomy in his books, Brahmagupta devoted several chapters of Brahma-sphuta-siddhanta to mathematics. Like the algebra of Diophantusthe algebra of Brahmagupta was syncopated. The book is written in arya-meter comprising verses and 24 chapters.

Articles from Britannica Encyclopedias for elementary and high school students. Hrahmagupta further finds biograph average depth of a series of pits. Hoyland, Islamic Cultures, Islamic Contexts: An orthodox Hindu, he took biorgaphy not to antagonize his own religious leaders but was very bitter in criticizing the ideas advanced by rival astronomers hailing from the Jain religion.

### Brahmagupta – Wikipedia

However, he lived and worked there for a good part of his life. A History of Mathematics. His major contribution to mathematics includes the introduction of number zero in computation.