quiz 2 notes - Math in Islamic Countries The intellectual...

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Math in Islamic Countries The intellectual center of the Arab world is Baghdad (8 th century) Caliph al-Mamun established a “house of wisdom” or university The word “Algoritmi” comes from Al-Khwarizmi’s name. His most important book was “Algebra” (based on the work of Brahmagupta) He gives 3 approximations for π. Thabit Ibn-Qurra believed there is an actual infinity (as opposed to Aristotle’s potential infinity) - Did work in calculus Al-Khayyami wrote in Arabic on astronomy and mathematics - Finding the positive real roots of cubic and quartic equations Omar Khayyam Wrote poem (Rubaiyat) – wine and death Al-Samamal: polynomials of degree>3 Mathematics in China and India No proof
Aryabhata (quadratic, indeterminate equations, sine function, sine table) Brahmagupta (Pell’s equation, surface an volume of pyramids and cones, zero and negative numbers) Mahavira discusses the properties of zero. Srinivasa Ramanujan: self-taught Bhaskara: invented trig formulas.

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