Mohammed ibn-Musa al-Khwarizmi was born sometime before 800 A.D. and died after 847 A.D.. His name indicates that he was "Muhammed, son of Moses, father of Jafar, from Khwarizm,". Al-Khwarizmi is described as "…one of the greatest minds of Islam, he influenced mathematical thought to a greater extent than any other medieval writer."
In the year 832, Caliph Al Ma’mun [b. Baghdad, 786, d. Tarsus, Cilicia, August 833] founded the “House of Wisdom” in Baghdad, a center for study and research similar to the earlier Museum in Alexandria. Its most famous scholars were the mathematicians Muhammad ibn Musa Al-Khwarizmi and the Banu Musa (“sons of Moses”), three brothers who directed the translation of Greek works from Antiquity.
The modern word algorithm is derived from the name, al-Khwarizmi, the best mathematician of his age, thanks to his book, al-Kitab al-mukhtasar fi Hisab al-jabr w’al-muqabala, (a book showing how to solve equations and problems derived from ordinary life) which means “The Compendious Book on Calculation by Completion and Balancing”, which later evolved into algebra, was the first written text on the subject. In al-Khwarizmi’s time, algebra was a practical system for solving all kinds of problems “in cases of inheritance, contracts, surveying, tax collection, legacies, partition, lawsuits, and trade, and in all their dealings with one another, or where the measuring of lands, the digging of canals, geometrical computations, and other objects of various sorts and kinds are concerned.” Al-jabr was about removing the negative terms from an equation, while al-muqabala meant “balancing” the values of an equation across an equals sign.
Moreover, his tracts on astronomy and geography, many of which were translated into European languages and Chinese, became standard texts. In AD830, a team of 70 geographers working under him produced the first map of the known world at the time, though all that