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The medieval Islamic world underwent significant developments in mathematics. Muhammad ibn Musa al-Khwārizmī played a key role in this transformation, introducing algebra as a distinct field in the 9th century. Al-Khwārizmī 's approach, departing from earlier arithmetical traditions, laid the groundwork for the arithmetization of algebra ...
Al-Jabr (Arabic: الجبر), also known as The Compendious Book on Calculation by Completion and Balancing (Arabic: الكتاب المختصر في حساب الجبر والمقابلة, al-Kitāb al-Mukhtaṣar fī Ḥisāb al-Jabr wal-Muqābalah; [b] or Latin: Liber Algebræ et Almucabola), is an Arabic mathematical treatise on algebra written in Baghdad around 820 by the Persian polymath ...
Abu Kamil made important contributions to algebra and geometry. [4] He was the first Islamic mathematician to work easily with algebraic equations with powers higher than (up to ), [3][5] and solved sets of non-linear simultaneous equations with three unknown variables. [6] He illustrated the rules of signs for expanding the multiplication . [7]
Al-Khwarizmi. Muhammad ibn Musa al-Khwarizmi[note 1] (Persian: محمد بن موسى خوارزمی; c. 780 – c. 850), or simply al-Khwarizmi, was a polymath who produced vastly influential Arabic-language works in mathematics, astronomy, and geography. Around 820 CE, he was appointed as the astronomer and head of the House of Wisdom in ...
The word "algebra" is derived from the Arabic word الجبر al-jabr, and this comes from the treatise written in the year 830 by the medieval Persian mathematician, Al-Khwārizmī, whose Arabic title, Kitāb al-muḫtaṣar fī ḥisāb al-ğabr wa-l-muqābala, can be translated as The Compendious Book on Calculation by Completion and Balancing.
Solutions of indeterminate quadratic equations (of the type ax 2 + b = y 2). Integer solutions of linear and quadratic indeterminate equations (Kuṭṭaka). The rules he gives are (in effect) the same as those given by the Renaissance European mathematicians of the 17th century. A cyclic Chakravala method for solving indeterminate equations of ...
Quadratic equation. In mathematics, a quadratic equation (from Latin quadratus ' square ') is an equation that can be rearranged in standard form as [1] where the variable x represents an unknown number, and a, b, and c represent known numbers, where a ≠ 0. (If a = 0 and b ≠ 0 then the equation is linear, not quadratic.)
Systemic algebraic solution and completing the square: Al-Khwarizmi's popularizing treatise on algebra (The Compendious Book on Calculation by Completion and Balancing, c. 813–833 CE [48]: 171 ) presented the first systematic solution of linear and quadratic equations.