What was an effect of the fact that Europeans learned about advanced mathematics and science from Islamic scholars?

One effect of Europeans learning about advanced mathematics and science from Islamic scholars was the European Renaissance. The knowledge and ideas brought from the Islamic world had a significant impact on the development of various fields, including mathematics, astronomy, medicine, and engineering. Europeans gained access to advanced numerical systems, algebra, and trigonometry, which eventually led to advancements in navigation, exploration, and trade.

The Arabic numeral system, including the concept of zero and decimal fractions, introduced by Islamic scholars, revolutionized mathematics in Europe. This innovation made complex calculations and measurements much easier, serving as a catalyst for scientific progress. Additionally, Islamic scholars preserved and translated several ancient Greek works, such as those of Aristotle, Euclid, and Ptolemy, which had been lost or forgotten in Europe. These works played a pivotal role in the Renaissance, inspiring new scientific and philosophical endeavors.

Moreover, Islamic scholars made significant contributions to fields like astronomy and medicine. Their advancements in astronomy, such as accurate celestial observations and the refinement of mathematical models, greatly influenced European astronomers, enabling them to challenge and expand upon existing theories. Islamic scholars also translated and expanded upon Greek and Roman medical texts, introducing new medications, surgical techniques, and diagnostic methods. These contributions improved the overall understanding and practice of medicine in Europe.

Overall, the incorporation of Islamic knowledge and scholarship into European thinking during the Middle Ages played a crucial role in the scientific and intellectual transformation of the continent, sparking important advancements and laying the groundwork for the scientific revolution.