1. Information screening method in this paper: By reading the text carefully, key mathematical information and details are extracted, such as the application of different mathematical fields mentioned in this paper and the importance of mathematics in life and science.

2. Logical reasoning in the text: Through the mathematical concepts, theorems and formulas mentioned in the text, combined with the context for logical reasoning, more mathematical information and connotations can be inferred. For example, it is mentioned that mathematics is a basic subject, and many other disciplines depend on mathematics, from which it can be inferred that mathematics plays an important role in academia and industry.

3. Pattern recognition in the text: By recognizing the mathematical patterns and structures mentioned in the text, we can understand the mathematical principles and ideas behind them. For example, it is mentioned that finding hidden patterns and structures by solving various problems requires logical thinking and innovative thinking, and it can be recognized that this is a problem-solving strategy in mathematics.

4. Induction and summary in the text: Through the induction and summary of the mathematical information and viewpoints mentioned in the text, the overall understanding and understanding of mathematics is formed. For example, the application of mathematics in life, different people have different mathematical needs, mathematics is an interesting subject, which can sum up the importance and diversity of mathematics.

The function of mathematical information:

1. Mathematical information can help us better understand the world. Through mathematical models and formulas, we can reveal the laws and structures hidden behind phenomena. For example, by studying statistics and probability theory, we can better understand the distribution and uncertainty of data and make more accurate predictions and decisions. In addition, mathematics also provides an abstract way of thinking to help us understand and solve abstract problems, such as in philosophy, sociology, economics and other fields.

2. Mathematical information has a very important application in scientific research and engineering. For example, in physics, mathematics provides models and formulas to describe natural phenomena; In computer science, mathematics provides the basis of algorithm and data structure; In economics, mathematics provides a tool to analyze and predict market trends. In addition, mathematics also provides a foundation for engineering and technical fields, such as mechanics, electromagnetism, thermodynamics, etc., which are widely used in architecture, machinery, electronics and other fields.

3. Mathematical information is also widely used in our daily life. For example, when shopping, calculate the price, compare the cost performance of goods, plan the tourist route, etc. Need to apply mathematical knowledge; At work, mathematics is also widely used in data analysis, prediction, decision-making and other fields. In addition, with the advent of the digital age, mathematical information is more and more widely used in information science, big data analysis, artificial intelligence and other fields.