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History of algebra : ウィキペディア英語版 | History of algebra
As a branch of mathematics, algebra emerged at the end of 16th century in Europe, with the work of François Viète. Algebra can essentially be considered as doing computations similar to those of arithmetic but with non-numerical mathematical objects. However, until the 19th century, algebra consisted essentially of the theory of equations. For example, the fundamental theorem of algebra belongs to the theory of equations and is not, nowadays, considered as belonging to algebra. This article describes the history of the theory of equations, called here "algebra", from the origins to the emergence of algebra as a separate area of mathematics. ==Etymology== The word "algebra" is derived from the Arabic word ''Al-Jabr'', and this comes from the treatise written in 830 AD by the medieval Persian mathematician, (unicode:Muhammad ibn Mūsā al-Khwārizmī), entitled, in Arabic ''Kitāb al-muḫtaṣar fī ḥisāb al-ğabr wa-l-muqābala'', which can be translated as ''The Compendious Book on Calculation by Completion and Balancing''. The treatise provided for the systematic solution of linear and quadratic equations. Although the exact meaning of the word ''al-jabr'' is still unknown, most historians agree that the word meant something like "restoration", "completion", "It is not certain just what the terms ''al-jabr'' and ''muqabalah'' mean, but the usual interpretation is similar to that implied in the translation above. The word ''al-jabr'' presumably meant something like "restoration" or "completion" and seems to refer to the transposition of subtracted terms to the other side of an equation, which is evident in the treatise; the word ''muqabalah'' is said to refer to "reduction" or "balancing"—that is, the cancellation of like terms on opposite sides of the equation." "reuniter of broken bones" or "bonesetter". The term is used by al-Khwarizmi to describe the operations that he introduced, "reduction" and "balancing", referring to 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.
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