An overview of the development of modern mathematics Since modern times, mathematics has made brilliant achievements in its rapid development. On this basis, modern mathematics continues to develop in depth and breadth at a faster speed and becomes a very active science. There are two major trends or characteristics in the development of modern mathematics: first, mathematics is more theoretical and the mathematical objects studied are more abstract; Secondly, mathematics is more closely related to natural science, technology, production and other fields of social knowledge, almost touching or going deep into all walks of life, and even becoming an inseparable part of it. This shows that the role of mathematics is more obvious and prominent, that mathematics has developed to a fairly high level, and that it is also a more mature embodiment of mathematical science.

In today's society, the task of eliminating "mathematical illiteracy" must be replaced by the task of eliminating "illiteracy" in the past and become an important goal of modern education. People can compare the contribution of mathematics to society to the role of air and food in life. Therefore, in a sense, people live in the age of mathematics. The magical electronic computer can best embody the existence of mathematics.

In the 20th century, the research scope of mathematics expanded rapidly, and the branches of mathematics mushroomed, and their complexity and abstractness increased day by day. However, the topics of mathematical research are really varied, and not only laymen are puzzled by the whole field of mathematics, but even mathematicians working in other branches of mathematics will feel the same way. However, despite this trend of more and more specialization, mathematics is more specific and dynamic than ever before.

Looking back on the development of mathematics in the 20th century, we can trace back to two important events in the field of mathematics at the end of 19 and the beginning of the 20th century. One is the set theory paradox discovered by British philosopher and mathematician B. Boucel (1872 ~ 1970) in 190 1 year. This is a great shock to mathematicians, which leads to a crisis about the basic theory of mathematics. After decades of fierce debate, it is still not over. In fact, the so-called "mathematical crisis", like the previous "physical crisis", is not a crisis of mathematics itself, but a crisis of people's understanding, especially mathematicians. Although there is a "mathematical crisis", the development of mathematics is not only the opposite, it is developing at a higher speed, with a wider range of applications and more obvious effects. Secondly, at the second international congress of mathematicians held in 1900, D. Hilbert (1862 ~ 1943) put forward 23 famous mathematical problems, covering a wide range, each of which is difficult, and many mathematicians do, but there are still many unsolved problems. The presentation and solution of Hilbert problem played a connecting role in the development of mathematics in the first 50 years of the 20th century. With the rapid development of science and technology, many new topics have been put forward for mathematics, which has promoted the development of mathematics and formed many new branches of mathematics.