Secondly, from the perspective of the history of mathematics, the reason why China's modern mathematics is backward lies in the backwardness of mathematical thinking and methods, failing to keep up with the forefront of mathematical development. When western countries have mastered the concepts of limit and infinitesimal, we are just addicted to some arithmetic tricks.
Thirdly, every mathematical crisis is a mathematical revolution, which brings us new mathematical ideas and methods. It fundamentally changed our view of mathematics and the whole world.
Compared with other knowledge groups, mathematics is a historical or cumulative science. Important mathematical theories are always based on inheriting and developing the original theories. Not only do they not overthrow the original theory, but they always contain the original theory. People often compare modern mathematics to a dense tree, which contains and continues to grow more and more branches.
The history of mathematics is not only a simple chronological record of mathematical achievements. The development of mathematics is by no means smooth sailing. More often, it is full of melancholy, wandering, experiencing difficulties and twists and turns, and even facing crisis. The history of mathematics is also a record of the struggle of mathematicians to overcome difficulties and crises. Knowing this kind of record can help us learn lessons from the exploration and struggle of our predecessors, get inspiration and enhance our confidence. Therefore, it can be said that it is impossible to fully understand mathematical science without understanding the history of mathematics.