As far as mathematics itself is concerned, mathematics is a highly accumulated science, and major mathematical theories are always based on inheriting and developing the original theories. At the same time, mathematics is a highly abstract subject, which pursues a general model for solving problems and concise expression. Therefore, the content of mathematics is easily divorced from specific problems, and the background of its methods is also involved. Therefore, the history of mathematics is a very good main line. By restoring the thinking process of mathematicians and reproducing the discovery and development of mathematics, the personal thinking quality can be improved.
Mathematics is obviously a kind of high-intensity mental work, which is mainly divided into two types: one is calculation, the other is theorem proving or formula derivation. The calculation should be dull and rigid, and the proof is more beautiful and flexible; The calculation method may be simple, easy to operate and understand, and the calculation amount is large; More difficult to prove.
The mathematician's job is to pursue the generalization of the problem as much as possible and expand the problem to a more general situation as much as possible. In many cases, this common situation is mechanization, programming, and especially computable realization. Once this kind of work is broken through by mathematicians, mathematicians can hand it over to computers. After all, computers are better at mechanical and massive calculations, and mathematicians themselves can get rid of boring and heavy calculations and explore new problems with more creativity and value.
Mathematicians value that the scientific calculation of computer can promote theoretical research: according to the needs of the problem, combined with relevant data, through inductive analysis, new laws and phenomena can be found; It can help to test guesses, ideas and ideas and avoid unnecessary detours.