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In his work, that based most probably on an Arabic translation of Brahmagupta (Indian Book) where he gave a full account of the Hindu numerals which was the first to explain the system with its digits 0,1,2,3,....,9 and decimal place value which was a fairly recent arrival from India. The new entry came to be known as that of al-Khwarizmi, ultimately the scheme of numeration making use of the Hindu numerals came to be called simply algorism or algorithm, a word that, originally derived from the name al-Khwarizmi, now means, more generally, any abnormal rule of procedure or operation.
His Great Book:
It was at the House of Wisdom that al-Khwarizmi wrote his dissertation al-Kitab al-mukhtasar fi hisab al-jabr wa'l-muqabala or "The Compendious Book on Calculation by Completion and Balancing" that was written in 830 AD...
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