A comprehensive reconsideration of the non-Eurocentric mathematical practices and philosophies spanning

the Eastern world that may have gone overlooked or insufficiently explored, particularly when reflected in a

typical undergraduate mathematics program. These practices may include significant and unique problem-

solving techniques that when applied and cross-examined with modern mathematical subjects or fields can

provide noteworthy insights that would be otherwise neglected under prevailing Western techniques.
Considering the breadth of mathematics, focus will be given to the mathematicians of the Islamic Golden

Age and Edo period in Japan. For the former- the proof work of Al-Khwarizmi and Omar Khayyam on

quadratics and cubics forms will be explored when treated in higher dimensions. For the latter- arithmetic tables applied to root-finding developed by Seki Takakazu will be translated computationally and compared with modern root-finding methods.