Mathematics has made an important contribution to the progress of modern science and technology. First of all, mathematics is the foundation of scientific research, and almost all scientific fields need its support. For example, physics, chemistry, biology, engineering and so on are all inseparable from mathematical theories and methods. Mathematics provides precise language and tools for these scientific fields, enabling scientists to better understand and explain natural phenomena.

Secondly, mathematics also plays an important role in information technology. Computer science, information theory and cryptography are all based on mathematical theory. For example, computer programming needs knowledge of discrete mathematics, and network communication needs probability theory and statistics. In addition, with the advent of the era of big data, data analysis and machine learning also require a lot of mathematical knowledge.

Thirdly, mathematics is also widely used in engineering technology. For example, aerospace, civil engineering and electronic engineering all need mathematical knowledge such as calculus, linear algebra and optimization theory. These mathematical tools can not only help engineers design and optimize products, but also help them solve practical problems.

Finally, mathematics also plays an important role in economics, social sciences and other fields. For example, in addition, sociology, psychology, political science and other disciplines also need to use mathematical tools such as statistics and probability theory.