Maths
Works in the field of arithmetic were translated from Sanskrit (but mainly Greek) and the Arabs borrowed the novel Indian concept of zero and used a then-novel base ten (decimal) Indian numeral system. Algebra (al-Jabr) was a new Arabic branch of mathematics popularised by Muhammad Ibn Musa al-Khwarasmi (d. 850) after whom the algorithm was also named.
Physics
Al-Hasan Ibn al-Haytham (Alhazen to the West), who lived in Iraq and Egypt in the 11th Century and possibly also the 10th Century and was translated into Latin for study in the West, developed the study of light (optics). The Sons of Musa, who worked in Baghdad, produced an illustrated 9th Century work of mechanical engineering. Al-Jazari, working in northern Iraq and northern Syria, produced an important illustrated 14th Century work. Al-Farabi of Baghdad and Syria produced a major work of musicology (properly considered as an element of physics) in the 10th Century. Ibn al-Munajjim (10th Century) and al-Armawi (13th Century), both of Baghdad, also produced works of musicology.
Astronomy and Observatories
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