1, scientific and technological development: Mathematics is the cornerstone of many scientific and technological fields, including computer science, physics, chemistry, biology and so on. In computer science, the application of mathematics is everywhere, from algorithm design to data structure, from information security to image processing, it is inseparable from the shadow of mathematics. In the field of physics, mathematics provides a basic tool to describe natural phenomena. From Newton's law of universal gravitation to Einstein's theory of relativity, it is inseparable from the accurate calculation and derivation of mathematics.

2. Economic analysis: Mathematics plays a key role in economics. From basic arithmetic and statistics to complex game theory and econometrics, mathematics is an important tool to understand and predict economic behavior. Through mathematical models, economists can predict market trends, the government can formulate more reasonable policies, and consumers can better understand their financial situation.

3. Data science: In the era of big data, mathematics provides a key tool for understanding and utilizing massive data. From data cleaning to data visualization, from machine learning to deep learning, mathematics plays an important role in every link of data science. This enables us to extract valuable information from a large number of data, predict future trends and optimize the decision-making process.

4. Social science: In social science, mathematics provides an important tool for studying human behavior and social phenomena. For example, through random sampling and statistical analysis, social scientists can more accurately understand public opinions and behavior patterns. By establishing a mathematical model, we can simulate the development and evolution of social phenomena, thus providing a basis for policy making.

Skills of learning mathematics:

1. Understand the basic concepts: Mathematics is a basic subject, and it is very important to understand its concepts and principles. Therefore, when learning mathematics, we must first understand the basic concepts and theorems, including their meanings, conditions and scope of application. Only by deeply understanding these basic concepts can we better grasp the follow-up learning content.

2. Do more exercises: Mathematics is a subject that needs a lot of practice. By doing more exercises, you can deepen your understanding and mastery of knowledge points. In the process of doing problems, we should pay attention to methods and ideas, constantly sum up experience and cultivate our ability to solve problems. At the same time, we should pay attention to time management to avoid falling into the dilemma of solving problems for too long.

3. Establish a knowledge system: there are internal links between the knowledge points of mathematics, forming a complete knowledge system. In the process of learning, we should pay attention to the connection and induction between knowledge points, and connect all knowledge points in series to form our own knowledge network. This can help you better understand and remember knowledge points and improve learning efficiency.

4. Be good at summarizing and reflecting: You should be good at summarizing and reflecting when learning mathematics, find your own shortcomings and mistakes in time, and take corresponding measures to improve them. After the exam or practice, you should sum up your gains and losses, experience and lessons in time, analyze the reasons for the mistakes, and avoid making mistakes again. At the same time, we should also reflect on whether our learning methods are appropriate and whether we need to adjust our learning strategies.