Ottoman Empire started conquering Europe in 14th century and by 15th century had most of Eastern Europe under its kingdom. Although traces of Islam have been found a long before Ottoman Empire but Islam flourished appropriately when Ottoman Empire ruled Europe. Historians are of the point of view that Islam laid the foundation of modern Europe and it is it fact the reality. History has noticed Europe dominating the world in the past centuries through its knowledge and power but if we study early invention of mathematics, physics and astronomy, not surprisingly; all the credit goes to Muslim world of seience. Muslim mathematicians worked in every field of mathematics such as Al-Jabir founded algebra. Galileo and Newton, the great scientists of their time, would never have been able to formulate the modern theories of mathematics and physics without the basic and important tools invented by Muslim scientists.
Plato and Aristotle laid the institution of classical writing and texts in ancient Europe but these sculptures were lost in the history and were almost doomed during the Dark Age. It was again Muslims who acted as the caretakers of those important writings and preserved them. Even some of that work was present only in Arabic. Ibne-Rushd, a Muslim, known as Averroes in Europe, had a major name in this regard.
European explorers are famous for their voyages and explorations but it was only made possible by the accurate maps produced by the Muslim mapmakers. These maps paved the way for European explorers to discover new worlds in minimum time span.
This is only the tiny amount of donation made by Islam to Europe directly or indirectly. According to global news, there are about 53 million Muslims in Europe. Islam has become the fastest growing religion in Europe and all over the world, there has been establishment of new mosques all over Europe and even non-Muslims are visiting these mosques. The rate of conversion to Islam shot in the recent years especially after 9/11 attacks when Muslims were accused of it. It was the time when non-Muslims especially Christians were more interested to find out about Islam, Qura'an and the teachings of Holy Prophet (PBUH). Although Islam was manipulated to be the religion of extremism and terrorism but when these individuals studied Islam, their views changed and they found Islam to be the complete code of life and the best religion of the world. So they adopted it after their vast researches. The Muslim immigrants from the Muslim world to Europe living there for decades are clear symbols of peace loving Muslim culture.
Today media, in Europe especially, talks alot about the the disrespect given to women in Islam, but in fact, this is not true. Islam is the only religion that has raised the prestige of women from one of the poorly humiliated creature, in Western culture, to that of a respectful being possessing equal rights to man. Under the wrong ideological concept of child marriage by the non-Muslims, the Muslims have been criticized by the western media but in fact there is no concept of child marriage in Islam and such incidents are purely restricted to few old customed tribes.
As many historians have revealed Islam to be the past of modern Europe we believe that it would be the future of the European world as well.