I know Archimedes is considered to be the greatest mathematician. I like to make a case for Brahmagupta. 1) Incorporation of zer and negative numbers to the Hind Arabic number system 2) Develop arbitrary rules for four fundamental operations (addition, subtraction, multiplication and division). 3) Greeks never solved a single equation using general methods. (If you know one...please let me know) Brahmagupta solved a) quadratic b) Linear indeterminate equations 3) Second order indeterminate (assigned to Pell by Gauss). all by general methods And jealous Gauss stated "Oh Archimedes how come you did not discover this, If you had world would be much more advanced" Well Archimedes did not discover zero. It was Brahmagupta.