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Al-Khwarizmi: The Invention
Who created algebra
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KICconnect Issue #25
Around CE he was appointed as the astronomer and head of the library of the House of Wisdom in Baghdad. 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. The term algebra itself comes from the title of his book the word al-jabr meaning "completion" or "rejoining". 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. In addition to his best-known works, he revised Ptolemy 's Geography , listing the longitudes and latitudes of various cities and localities. The epithet al-Qutrubbulli could indicate he might instead have come from Qutrubbul Qatrabbul , [25] a viticulture district near Baghdad. However, Rashed denies this: [26]. Recently, G. His systematic approach to solving linear and quadratic equations led to algebra , a word derived from the title of his book on the subject, "The Compendious Book on Calculation by Completion and Balancing". On the Calculation with Hindu Numerals written about , was principally responsible for spreading the Hindu—Arabic numeral system throughout the Middle East and Europe.
He oversaw the translation of the major Greek and Indian mathematical and astronomy works including those of Brahmagupta into Arabic, and produced original work which had a lasting influence on the advance of Muslim and after his works spread to Europe through Latin translations in the 12th Century later European mathematics. Perhaps his most important contribution to mathematics was his strong advocacy of the Hindu numerical system, which Al-Khwarizmi recognized as having the power and efficiency needed to revolutionize Islamic and Western mathematics. The Hindu numerals 1 — 9 and 0 — which have since become known as Hindu-Arabic numerals — were soon adopted by the entire Islamic world. Al-Khwarizmi wanted to go from the specific problems considered by the Indians and Chinese to a more general way of analyzing problems, and in doing so he created an abstract mathematical language which is used across the world today. His book is considered the foundational text of modern algebra , although he did not employ the kind of algebraic notation used today he used words to explain the problem, and diagrams to solve it. In particular, Al-Khwarizmi developed a formula for systematically solving quadratic equations equations involving unknown numbers to the power of 2, or x 2 by using the methods of completion and balancing to reduce any equation to one of six standard forms, which were then solvable. Al-Khwarizmi is usually credited with the development of lattice or sieve multiplication method of multiplying large numbers, a method algorithmically equivalent to long multiplication.
