A Brief History of Mathematics in Ancient Greece and the "Eureka!" Moment for Modern Mathematics

Abstract

The following paper offers an analysis of the history of mathematics in Ancient Greece. Its main focus is on five mathematicians from 600 BCE to 200 BCE: Thales, Pythagoras, Euclid, Apollonius, and Archimedes. After looking at the history of mathematics and the achievements of these mathematicians, I became aware of many factors that likely hindered these mathematicians from accomplishing even more. When I realized that many of these interferences were related to Ancient Greek culture, I was interested in examining the progress mathematics is making today. My thesis looks at the restrictions of the past and then looks at all of the opportunities for mathematics today.