1. Mathematics is the foundation of all sciences. It can be said that every major progress of mankind is backed by mathematics. In the first industrial revolution, man invented the steam engine. Without mathematics, there would be no advanced automobile automation production line. In the current information revolution, if there is no mathematics, how can information exchange be so fast?
2. Mathematics is a tool discipline, which is the basis of learning other disciplines. Often breakthroughs in mathematics will lead to major breakthroughs in many other disciplines.
Learning mathematics can exercise a person's logical thinking ability. Mathematics is a very logical subject, which can exercise a person's thinking logic.
Second, the importance of mathematics to the innovation and development of modern science
An important trend in the development of modern science and technology is increasing mathematicization. It needs both qualitative research and quantitative analysis, and puts forward certain mathematical relations and mathematical models to describe the motion law of the research topic. This is the inevitable trend of modern scientific revolution. The modern scientific revolution has promoted the improvement of traditional mathematics and the emergence of new branches of mathematics. Conversely, mathematics has played an increasingly important role in the scientific revolution. Some highly abstract or new branches of mathematics, such as functional analysis, abstract algebra, topology, discrete mathematics, fractal and wavelet analysis, have been widely used.
Third, the significance of mathematical application to scientific development.
It can be said that the application of mathematical methods played a great role in promoting the initial scientific revolution. The mathematical law of planetary motion summarized by Kepler or the mathematical expression of motion put forward by Galileo are milestones in the history of modern scientific development. With the application of mathematical methods in natural science, mathematics itself has made new progress. Leibniz and Newton invented calculus respectively, and these methods were quickly mastered by scientists at that time and became their tools for scientific research.
Whether it is natural science or humanities, its knowledge building is gradually built by countless people, but some people add revolutionary bricks and tiles through the next level, while others just add bricks and tiles as an intermediate link. In the process of understanding, human beings have to go through many ideological repetitions, comparisons, hesitations, temptations and guesses; Even in the wrong cognitive model, there may be positive factors. Galen's description of circulatory system has such special significance. It was by discovering the mistakes in his works that people in the Renaissance formed a new concept of blood flow.