1. The need of social and economic development is the basic driving force for the emergence and development of science. Without this motivation, it is impossible for society to invest enough manpower, financial resources and material resources to produce modern science as a knowledge system. In the world, the feudal relations of production first collapsed in western Europe (14 ~15th century). Capitalism sprouted from the interior of feudal society and urgently needed the development of science and technology. At the same time, it also has necessary material conditions.

2. The promotion of Renaissance directly gave birth to modern science. Discover people, advocate rationality and pursue science.

3. The emergence of modern mathematics is not only the growth of ancient Greek mathematics, but also the nourishment and cultivation of Christian cultural traditions. The main function of Christian culture is to promote the formation of new concepts of experimental mathematics and have a great influence on the practice of modern mathematics. Second, strong religious motivation has become the starting point for modern mathematics pioneers to engage in mathematical research.