BIOGRAPHY OF BRAHMAGUPTA PDF

List and Biographies of Great Mathematicians Brahmagupta The field of mathematics is incomplete without the generous contribution of an Indian mathematician named, Brahmagupta. Besides being a great mathematician he was an even brilliant astronomer who wrote several books on these subjects. His major contribution to mathematics includes the introduction of number zero in computation. According to himself, Brahmagupta was born in CE and was the follower of Shaivism.

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Biographies index Brahmagupta, whose father was Jisnugupta, wrote important works on mathematics and astronomy. 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.

This was the capital of the lands ruled by the Gurjara dynasty. Brahmagupta became the head of the astronomical observatory at Ujjain which was the foremost mathematical centre of ancient India at this time.

Outstanding mathematicians such as Varahamihira had worked there and built up a strong school of mathematical astronomy. First let us give an overview of their contents. These ten chapters are arranged in topics which are typical of Indian mathematical astronomy texts of the period. The remaining fifteen chapters seem to form a second work which is major addendum to the original treatise. The chapters are: examination of previous treatises on astronomy; on mathematics; additions to chapter 1; additions to chapter 2; additions to chapter 3; additions to chapter 4 and 5; additions to chapter 7; on algebra; on the gnomon; on meters; on the sphere; on instruments; summary of contents; versified tables.

He gave some properties as follows:- When zero is added to a number or subtracted from a number, the number remains unchanged; and a number multiplied by zero becomes zero.

He also gives arithmetical rules in terms of fortunes positive numbers and debts negative numbers :- A debt minus zero is a debt. A fortune minus zero is a fortune. Zero minus zero is a zero. A debt subtracted from zero is a fortune. A fortune subtracted from zero is a debt. The product of zero multiplied by a debt or fortune is zero. The product of zero multipliedby zero is zero. The product or quotient of two fortunes is one fortune. The product or quotient of two debts is one fortune. The product or quotient of a debt and a fortune is a debt.

The product or quotient of a fortune and a debt is a debt. Brahmagupta then tried to extend arithmetic to include division by zero:- Positive or negative numbers when divided by zero is a fraction the zero as denominator. Zero divided by negative or positive numbers is either zero or is expressed as a fraction with zero as numerator and the finite quantity as denominator.

Zero divided by zero is zero. He is certainly wrong when he then claims that zero divided by zero is zero. However it is a brilliant attempt to extend arithmetic to negative numbers and zero. We can also describe his methods of multiplication which use the place-value system to its full advantage in almost the same way as it is used today.

The first method we describe is called "gomutrika" by Brahmagupta. Consider the product of multiplied by We begin by setting out the sum as follows: 2 4 Now multiply the of the top row by the 2 in the top position of the left hand column.

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Brahmagupta

This section contains words approx. He was the head of the astronomical observatory at Ujjain his probable birthplace. His main, but not sole, achievements in the field of mathematics were the introduction of zero and negative numbers. Brahmagupta wrote two main texts, both of which deal with arithmetic and astronomy. His first work in was Brahmasphuta siddhanta The Opening of the Universe , and in he published Khandakhadyaka. Both of these texts are actually written in verse.

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Brahmagupta: Biography, Inventions & Discoveries

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.

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Brahmagupta Biography

Biographies index Brahmagupta, whose father was Jisnugupta, wrote important works on mathematics and astronomy. 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. This was the capital of the lands ruled by the Gurjara dynasty. Brahmagupta became the head of the astronomical observatory at Ujjain which was the foremost mathematical centre of ancient India at this time. Outstanding mathematicians such as Varahamihira had worked there and built up a strong school of mathematical astronomy.

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