Every young man who does mathematics has a great goal, that is to become a first-class mathematician before the age of forty.

But growing from a nobody to a top mathematician is definitely a qualitative change. !

I have met the greatest mathematicians in the world (including Chen Shengshen). Their mathematical level, knowledge and foresight far exceed our imagination.

Therefore, in order to achieve this lofty goal,

You must go through a painful qualitative change process.

This qualitative change is not instantaneous. It takes an extremely long process of practice (at least ten years).

The whole practice is a quantitative torture process. This change is accumulated slowly and unconsciously.

One of the factors that can produce this quantitative change is that you can bear hardships subjectively and are willing to work hard.

Many people just talk about what they want in the future, or always envy those masters blindly, but they don't take action.

So many years later, he is still an ordinary person (see more).

Therefore, only those who have the spirit of struggle can slowly accumulate knowledge and experience and unconsciously surpass most ordinary people in the long years.

Become the best mathematician.

It's like changing from a caterpillar to a butterfly, although every step of evolution before the pupa breaks out of the cocoon is a slight quantitative change.