This essay discusses some aspects of the history of mathematics from the earliest mathematical records to the modern era. In the scope of a short essay, it is only possible to touch on some selected aspects of a broad and encompassing subject. The essay begins by outlining some of the key developments as a whole, before further subdividing into three sections: Greek mathematical developments; Chinese and Middle Eastern developments; and Western developments. The essay concludes by drawing attention to the enormous scope of the history of mathematics. 6 pgs. Bibliography lists 9 sources.