The Middle East and mesopotamian region had been more advanced than Europe for over a thousand years, even before islam came. So, moslems and arabs using islam as an example of being scientifically more advanced than Europe seems to be stealing credit from other civilization's accomplishments.
Europe being more advanced than the rest of the world was a phenomenon that started from the 1460s till today. Before the 1460s, only the Roman Empire was more advanced than most of the known world before its decline.
Being more advanced or backward, Europe and Christian societies in general show more changes in their ethnic societies in terms of thought, social mobility and evolving of customs over time. Most asiatic and moslem societies take far greater pride in their ability to stand still, to be unchanging. It may be good for those trumpeting orthodoxy, but it is bad for those who are slaves, victims of imperialism or the bottom caste of their asiatic and moslem societies.
That's why you don't see a Reformation or Renaissance equivalent in asiatic or moslem societies. The Japs had a major transformation, the turks had a half past six kind of revolution with Ataturk.