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Is the oldest instance of algebra that has been found. Also it is claimed to be the historical beginning point of algebra
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Al-Karaji is the “first person to completely free algebra from geometrical operations and to replace them with the arithmetical type of operations which are at the core of algebra today.
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He wrote commentaries on Euclid and Archimedes, and improved Ishaq ibn Hunayn's translation of Menelaus of Alexandria's Spherics. He tried vainly to solve an Archimedean problem: to divide a sphere by means of a plane into two segments being in a given ratio of volume. That problem led to a cubic equation, x3 + c2b = cx2
which Muslim writers called al-Mahani's equation. -
is an Ancient Greek text on mathematics written by the mathematician Diophantus in the 3rd century AD. It is a collection of 130 algebraic problems giving numerical solutions of determinate equations (those with a unique solution) and indeterminate equations.
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Kelallur Nilakantha Somayaji (also referred to as Kelallur Comatiri;[1] 14 June 1444 – 1544) was a major mathematician and astronomer of the Kerala school of astronomy and mathematics in India. One of his most influential works was the comprehensive astronomical treatise Tantrasangraha completed in 1501.
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Carl Friedrich Gauss proves the fundamental theorem of algebra (every polynomial equation has a solution among the complex numbers)
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Paolo Ruffini partially proves the Abel–Ruffini theorem that quintic or higher equations cannot be solved by a general formula
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Galois theory is developed by Évariste Galois in his work on abstract algebra.
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George Boole formalizes symbolic logic in The Mathematical Analysis of Logic, defining what now is called Boolean algebra.
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Mikhail Gromov develops the theory of hyperbolic groups, revolutionizing both infinite group theory and global differential geometry
