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Know when bayt al Hikma was founded
Al Mamun changed Bayt al Hikma to be the center of learning
The main activities was translation of books from persia, greek, and India (translating from Sanskrit to arabic)
They were also doing their own research too not just translation
Transmission of the knowledge from the arab world to the European / western world
Know the main books, such as Fibonacci, where we found all the knowledge of that time Abu Kamil (found in medival spain)
Al Khwarazim's book has the main topics algebra, trig, and number theory
The main mathematicians of that time such as Fibonnaci, Khwarazimi, Kindi, Samawa'l (each one and their works, what books they wrote)
The main translator of bayt al Hikma during the golden age was Thabit ibn Qurra
Main work of Al Kindi was Coding Theory
Abu Wafa was in trigonometry
Ibn al Haytham was doing work in paraboloid volumes etc
Omar Khayyam improved Khwarizmi's work but his main work was cubic equations using the intersection of conic sections
Al Karaji was the one that initiated binomial theorm, finding a sort of "Pascal triangle" as we know it today
Sharaf Al Din al Tusi found a condition on the coefficient of Cubic when we have a solution (only real solutions)
Nasir al Din al Tusi was the only one who treated trig as a separate science from astronomy (His time was during the decline of the golden age, and he managed to save alot of manuscripts from the mongol invasion of Baghdad)
Arithmetic number theory / Geometry
combinatorics work were done by mathematician in north Africa / maghrib region
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