Greek civilisation emerged around the shores of the Mediterranean as the Egyptian one faded. Greek doctors went beyond Greek observers in that they developed 'philosophy'. This led to a more rational (thinking) approach to medicine, which eventually became the basis of modern scientific medicine.
Some knowledge of Greek civilisation will help you to understand Greek medicine.
Greek civilisation developed in a different way from that of Egypt. Instead of growing into a large empire ruled by a monarch, Greece developed as a number of city-states, ruled by a range of governments. Some of were democratic (Athens), others were under dictatorships (Macedon), others were ruled by the military (Sparta).
The Greek states built up a wide trading empire. Greek cities became immensely wealthy, and developed a cultural life that included drama, comedy, sculpture, architecture, poetry, politics and public debates. The Greek people developed a phonetic form of writing that was more flexible than Egyptian hieroglyphs.