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Muḥammad ibn Mūsā alKhwārizmī
Persian mathematician, astronomer and geographer
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780

845
country of citizenship:
Abbasid Caliphate
occupation:
mathematician, astronomer, geographer, philosopher, translator, astrologer, historian
Muḥammad ibn Mūsā alKhwārizmī (Persian: محمد بن موسى خوارزمی; c. 780 – c. 850), formerly Latinized as Algorithmi, was a Persian scholar who produced works in mathematics, astronomy, and geography under the patronage of the Caliph AlMa'mun of the Abbasid Caliphate. Around 820 AD he was appointed as the astronomer and head of the library of the House of Wisdom in Baghdad.AlKhwarizmi's popularizing treatise on algebra (The Compendious Book on Calculation by Completion and Balancing, c. 813–833 CE) presented the first systematic solution of linear and quadratic equations. One of his principal achievements in algebra was his demonstration of how to solve quadratic equations by completing the square, for which he provided geometric justifications. Because he was the first to treat algebra as an independent discipline and introduced the methods of "reduction" and "balancing" (the transposition of subtracted terms to the other side of an equation, that is, the cancellation of like terms on opposite sides of the equation), he has been described as the father or founder of algebra. The term algebra itself comes from the title of his book (specifically the word aljabr meaning "completion" or "rejoining"). His name gave rise to the terms Algorism and algorithm. His name is also the origin of (Spanish) guarismo and of (Portuguese) algarismo, both meaning digit.
In the 12th century, Latin translations of his textbook on arithmetic (Algorithmo de Numero Indorum) which codified the various Indian numerals, introduced the decimal positional number system to the Western world. The Compendious Book on Calculation by Completion and Balancing, translated into Latin by Robert of Chester in 1145, was used until the sixteenth century as the principal mathematical textbook of European universities.In addition to his bestknown works, he revised Ptolemy's Geography, listing the longitudes and latitudes of various cities and localities. He further produced a set of astronomical tables and wrote about calendaric works, as well as the astrolabe and the sundial.
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series
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1The Compendious Book on Calculation by Completion and Balancing
mathematical book written in Arabic
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author:
Muḥammad ibn Mūsā alKhwārizmī