Actually, the Renaissance was the when science really took off in Europe. It was a revival of art, culture and science, lost during the middle ages. It was based on the pagan ideas of Rome and Greece, and preserved largely by the Eastern Church and Islam.
Arguable, science was more advanced in China, India and parts of the Americas than in Europe at the time of Columbus. In Mexico, some of the largest cities in the world existed. Meso-America had science, math, writing and technology. Ancient China was far more advanced then Europe, as was India.
I think Christianity had little to do with the advance of science. Worldwide science, technology, language, religions, exploration and conquest were happening from the 15th century onwards. Cultures, science and technology have ebbed and flowed, but all of it is built on the past.