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In his book The Compendious Book on Calculation by Completion and Balancing, Al-Khwarizmi deals with ways to solve for the positive roots of first and second-degree (linear and quadratic) polynomial equations. He introduces the method of reduction, and unlike Diophantus, also gives general solutions for the equations he deals with. [7] [8] [9]
Al-Khwarizmi. Muhammad ibn Musa al-Khwarizmi[note 1] (Persian: محمد بن موسى خوارزمی; c. 780 – c. 850), or simply al-Khwarizmi, was a Khwarazm -born 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 ...
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-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 ...
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.
The Tusi couple, a mathematical device invented by the Persian polymath Nasir al-Din Tusi to model the not perfectly circular motions of the planets. Science in the medieval Islamic world was the science developed and practised during the Islamic Golden Age under the Abbasid Caliphate of Baghdad, the Umayyads of Córdoba, the Abbadids of Seville, the Samanids, the Ziyarids and the Buyids in ...
Mathematics, Engineering. Abū Bakr Muḥammad ibn al Ḥasan al-Karajī (Persian: ابو بکر محمد بن الحسن الکرجی; c. 953 – c. 1029) was a 10th-century Persian [2][3][4] mathematician and engineer who flourished at Baghdad. He was born in Karaj, [1] a city near Tehran. His three principal surviving works are mathematical ...
hide. The history of mathematical notation[ 1 ] includes the commencement, progress, and cultural diffusion of mathematical symbols and the conflict of the methods of notation confronted in a notation's move to popularity or inconspicuousness. Mathematical notation [ 2 ] comprises the symbols used to write mathematical equations and formulas.