First, the status of mathematics in today's society
Today's society is called the society of science and technology, and science and technology are developing at an extraordinary speed, which is closely related to people's daily life and increasingly integrated. In history, mathematics is the key to scientific and technological enlightenment. Today, mathematics is still the cornerstone of scientific and technological development. Mathematics is permeating and infiltrating into all fields of social life increasingly.
After human society entered the17th century, the establishment of calculus greatly promoted the development of science and technology. In the past, people often used the theory of calculus to solve many helpless problems, showing the extraordinary power of calculus.
Not only has calculus made outstanding contributions to the development of science and technology, but other branch theories of mathematics based on calculus also play an important role in the development of contemporary society. For example, Vaushan Jones's work links three-dimensional kink theory with functional analysis. Later, his theory was used by physicists and biologists in statistical mechanics to explain the structure of DNA. 1979, the main basis of CT scanning technology invented by Dr. Kolmark, the winner of the Nobel Prize in Medicine, is the "Ladong transform" in mathematics, and there are countless examples of its wide application in various fields of social life. Whether you realize it or not, mathematics has really penetrated into all fields of social life in its own way.
Second, the relationship between mathematics and science and technology
Hi-tech is essentially a mathematical technology. 198 1 year, the National Committee of the United States convened experts in mathematical science and related fields to set up a special committee. After three years' observation and analysis, this committee put forward a report "Further Prospering American Mathematics" in 1984, which pointed out that "the appearance of high technology has pushed our society into a new era of mathematical engineering technology". E.David, the chairman of the Special Committee and an applied mathematician, pointed out: "Few people realize that what is so praised as this technology is essentially a mathematical technology."
The formulation of "the new era of mathematical engineering technology" and the viewpoint that "high technology is essentially mathematical technology" point out the internal relationship between high technology and mathematics. The foundation of high technology is applied science, and the foundation of applied science is mathematics. High-tech research is inseparable from computers and computer experiments, and the effective use of computers is inseparable from modern mathematics. The progress of mathematical culture is the basis of the development of science and technology in the information processing era. Therefore, we can say that "today's mathematics is not only a science, but also a general technology, which has the characteristics of science and technology, which is rare in other disciplines."