Indian mathematicians brahmagupta biography of michaels

Extremely Brief account on the life of The Great Indian Mathematician was really helpfull thankyou so much. Your email address will not be published. This site uses Akismet to reduce spam. Learn how your comment data is processed. Contribution to Science and Astronomy Brahmagupta argued that the Earth and the universe are round and not flat.

Death This great mathematician died between and Reply Brahmagupta is a great mathematician to write about. Good luck with your algebra paper. He introduced algebraic methods into astronomical computations and established rules for operations involving zero, positive, and negative quantities. This monumental treatise consists of 25 chapters, largely devoted to astronomy, with two chapters 12th and 18th dedicated to pure mathematics.

In this work, Brahmagupta advanced novel ideas and algorithms for various celestial phenomena, including eclipses, planetary positions, and timekeeping. The mathematical chapters of the Brahamasphutasiddhanta demonstrate Brahmagupta's expertise in arithmetic, algebra, and geometry. His work laid the foundation for the development of algebra in subsequent centuries.

Pythagorean triplets [ edit ]. Pell's equation [ edit ]. Geometry [ edit ]. Brahmagupta's formula [ edit ]. Main article: Brahmagupta's formula. Triangles [ edit ]. Brahmagupta's theorem [ edit ]. Main article: Brahmagupta theorem. Pi [ edit ]. Measurements and constructions [ edit ]. Trigonometry [ edit ]. Sine table [ edit ]. Interpolation formula [ edit ].

Main article: Brahmagupta's interpolation formula. Early concept of gravity [ edit ]. Astronomy [ edit ]. See also [ edit ]. References [ edit ]. Notes [ edit ]. Citations [ edit ].

Indian mathematicians brahmagupta biography of michaels: Brahmagupta (c. – c. CE) was

Oxford University Press. ISBN Late classical India. The Argumentative Indian. Allen Lane. Early Astronomy. New York: Springer-Verlag. The Birth of Mathematics: Ancient Times top. Pingree's Census of the Exact Sciences in Sanskrit. A4, ff. Ahmed; Benham Sadeghi; Robert G. Hoyland eds. 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.

It is interesting to note also that the algebra of Brahmagupta, like that of Diophantus, was syncopated. 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.

Indian mathematicians brahmagupta biography of michaels: Brahmagupta was a highly accomplished Indian

The operations of multiplication and evolution the taking of rootsas well as unknown quantities, were represented by abbreviations of appropriate words. Translated by Henry Thomas Colebrooke. John Murray. The procedures for finding the cube and cube-root of an integer, however, are described compared the latter to Aryabhata's very similar formulation.

They are followed by rules for five types of combinations: [ Bibcode : tnti.

Indian mathematicians brahmagupta biography of michaels: Brahmagupta was an Indian astronomer

The Indians called the Euclidean algorithm the "pulverizer" because it breaks numbers down to smaller and smaller pieces. 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. His straightforward rules for the volumes of a rectangular prism and pyramid are followed by a more ambiguous one, which may refer to finding the average depth of a sequence of puts with different depths.

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. Thus Brahmagupta enumerates his first six sine-values as, His remaining eighteen sines are,,,, Electronic reproduction.

New York: Columbia University Libraries, Retrieved 3 June OCLC Bibliography [ edit ]. Brahmagupta's understanding of the number systems went far beyond that of others of the period. 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.

Indian mathematicians brahmagupta biography of michaels: Brahmagupta was one of the most

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.