He lived in Bhillamala modern Bhinmal during the reign of the Chavda dynasty ruler, Vyagrahamukha. He was the son of Jishnugupta and was a Shaivite by religion. However, he lived and worked there for a good part of his life. Prithudaka Svamin , a later commentator, called him Bhillamalacharya, the teacher from Bhillamala. It was also a centre of learning for mathematics and astronomy.
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See Article History Brahmagupta, born —died c. He also had a profound and direct influence on Islamic and Byzantine astronomy. Brahmagupta was an orthodox Hindu, and his religious views, particularly the Hindu yuga system of measuring the ages of mankind, influenced his work.
It was translated into Arabic in Baghdad about and had a major impact on Islamic mathematics and astronomy. In addition to expounding on traditional Indian astronomy in his books, Brahmagupta devoted several chapters of Brahma-sphuta-siddhanta to mathematics. He stressed the importance of these topics as a qualification for a mathematician, or calculator ganaka.
Get exclusive access to content from our First Edition with your subscription. He also gave partial solutions to certain types of indeterminate equations of the second degree with two unknown variables. Perhaps his most famous result was a formula for the area of a cyclic quadrilateral a four-sided polygon whose vertices all reside on some circle and the length of its diagonals in terms of the length of its sides.
He also gave a valuable interpolation formula for computing sines.
The examples and perspective in this article may not represent a full view of the subject. Please improve this article and discuss the issue on the talk page. The book was written completely in verse and does not contain any kind of mathematical notation. Nevertheless, it contained the first clear description of the quadratic formula the solution of the quadratic equation. He wrote the following rules:  The sum of two positive quantities is positive The sum of two negative quantities is negative The sum of zero and a negative number is negative The sum of zero and a positive number is positive The sum of zero and zero is zero The sum of a positive and a negative is their difference; or, if they are equal, zero In subtraction , the less is to be taken from the greater, positive from positive In subtraction, the less is to be taken from the greater, negative from negative When the greater however, is subtracted from the less, the difference is reversed When positive is to be subtracted from negative, and negative from positive, they must be added together The product of a negative quantity and a positive quantity is negative The product of two negative quantities is positive The product of two positive quantities is positive Positive divided by positive or negative by negative is positive Positive divided by negative is negative. Negative divided by positive is negative Zero divided by a negative or positive number is either zero or is expressed as a fraction with zero as numerator and the finite quantity as denominator A positive or negative number when divided by zero is a fraction with the zero as denominator.
The approximate area is the product of the halves of the sums of the sides and opposite sides of a triangle and a quadrilateral. 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. Triangles Brahmagupta dedicated a substantial portion of his work to geometry. 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. The perpendicular [altitude] is the square-root from the square of a side diminished by the square of its segment.
Brahmagupta's Brāhmasphuṭasiddhānta VOL I (Also Brahmasphutasiddhanta Brahmasphuta-siddhanta)
Nikonos Negative divided by positive is negative A positive or negative number when divided by zero is a fraction with the zero as sphura Zero divided by a negative or positive number is either zero or is expressed as a fraction with zero as numerator and the finite quantity as denominator Zero divided by zero is spphuta The last of these rules is notable as the earliest attempt to define division by zero, even though it is not compatible with modern number theory division by zero is undefined for a field. Indian mathematics Mathematics manuscripts Sanskrit texts 7th-century manuscripts History of algebra. The last two of these rules are notable as the earliest attempt to define division by zero, even though they are not compatible with modern number theory division by zero is undefined for a field. Please improve this article and discuss the issue on the talk page. Brahma Sphuta Siddhanta Dhana-Rina-Suunyam [ Literal translation ] Articles with limited geographic scope from December Brahmagupta was the first to give rules to compute with zero. Nevertheless, it contained the first clear description of the quadratic formula the solution of the quadratic equation.