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Trabajo sobre Brahmagupta

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- 1. BRAHMAGUPTA Brahmagupta was an Indian mathematician and astronomer who wrote two important works on mathematics: the Brahmasphutasiddhanta and the Khandakhadyaka and he was the first mathematician to use the concept of the zero. But right now people don't know where Brahmagupta's mathematics are derivated from.
- 2. 1.Mathematics.
- 3. 1.1.Arithmetic. Four fundamental operations (addition,subtraction,multiplication and division)were know to many cultures before Brahmagupta. This current system is based on the Hindu Arabic number system. Indian arithmetic was know in Medieval Europe as “Modus Indoram”.
- 4. -Series and zero. *Series: He gives the sum of the squares of the first natural numbers and the sum of the cubes of the first natural numbers. *Zero: The Brahmasphutasiddhanta was the first book that mentions zero as a number, so Brahmagupta is considered the first to formulate the concept of this number.
- 5. 1.2. Algebra. Brahmagupta gave the solucion of the general linear equation. He solved systems of simultaneous indeterminate equations leaving alone the desired variable and then dividing it by the coefficient.
- 6. 1.3. Geometry.
- 7. -Brahmagupta's formula. Bramagupta's most famous result in geometry is his formula for cyclic quadrilaterals. Giving him the lenghts of the sides of any cyclic quadrilateral, Brahmagupta gave an exact formula for the figure's area.
- 8. -Triangles. Brahmagupta dedicated a big portion of his work to geometry. The base decreased and increased by the difference between the squares of the sides divided by the base.
- 9. -Brahmagupta's theorem. The square-root of the sum of the two products of the sides of a non-unequal quadrilateral is the diagonal.
- 10. 1.4 Trigonometry -Interpolation formula. In 665 Brahmagupta devised and used a special case of the Newton-Stirling interpolation formula of the second order to interpolate new values of the sine function from other values already tabulated.

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