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They developed a very elementary algebra, all to solve everyday problems.
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Quadratic equation with its solution
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Introduces algebraic techniques for solving linear and quadratic equations.
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Mathematics was dominated by arithmetic and geometric calculations. They gave as solutions the equations of first and second degree.
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Introduced the square root symbol
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It was expressed as the cube roots using the segments by intersection of conic sections.
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The Indians developed the elementary rules to develop negative and positive numbers, They designed the decimal number system.
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Diophantus introduced an elementary algebraic sign to designate the unknown in equations.
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He studied Fourier series and in 1744 was the first to express an algebraic function by means of such a series. He found the summation formula now known as Euler-McLaurin. He proved Fermat's Last Theorem for n = 3, where he introduced calculus with algebraic numbers.
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He published the proof that every polynomial equation has at least one root in a complex plane.
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Creator of linear algebra, everything related to linear combination, linear independence, dimension, among others.
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Discovered quaternions
inevnton the name of vector. -
Developed the concept of multiplication which led to the development of matrices for linear transformation.
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Awarded the 2011 Abel Prize by the Norwegian Academy of Sciences and Letters in Norway in reference to his pioneering advances in topology, geometry and algebra.