1. Physically. The greatest contribution of mathematics to physics is non-Euclidean geometry and calculus in advanced mathematics. Physicists before Newton always wanted to solve some problems, such as finding the acceleration from the known motion trajectory, but there was no good mathematical method to solve them. Newton solved this problem perfectly with his own calculus. According to his conclusion (gravity, three laws), astronomy has entered a truly quantitative and accurate era. As early as the Gauss period, non-Euclidean geometry has developed to a high degree. When Einstein founded the theory of relativity, people found that non-Euclidean geometry might be a more objective description of the real world. Fluid mechanics and electromagnetism are based on non-Euclidean geometry. Only when mathematics develops a series of new knowledge that people have never heard of, such as coordinate system and complex number, can the whole physics become accurate, controllable and easy to understand. 2. Statistics and probability play a decisive role in biogenetics. Mathematical statistics can tell people what kind of statistical data is true and credible. Biologists conducted experiments on this basis and got convincing results. Probability theory makes people have a deep understanding of the direction change of biological evolution and also provides theoretical support for evolution or extinction. 3. I don't know much about theoretical statistical editing of economic science. I'm sorry