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How to become a very good doctor of mathematics?
To be a very good doctor of mathematics, you need to have a solid foundation in mathematics first. This includes the study of advanced mathematics, linear algebra, probability theory and other basic courses, as well as the cultivation of abstract thinking and logical reasoning ability. In addition, you need to have a strong interest and enthusiasm in mathematical research, and be willing to invest a lot of time and energy in exploring unknown areas.

Secondly, it is also important to choose a good tutor. An excellent tutor can not only provide you with a good academic atmosphere and resources, but also give you guidance and support when you encounter difficulties. Therefore, when choosing a tutor, we should fully understand their research direction, research results and teaching style to ensure that they match their interests and development goals.

We should pay attention to cultivating our independent thinking and innovative ability during our doctoral studies. This means learning to ask meaningful questions and find answers by reading literature, conducting experiments or simulations. At the same time, we should learn to cooperate with others, share our own ideas and achievements, look at problems from different angles and get better research results.

In addition, attending academic conferences and seminars is also an important way to improve your academic level. Through these activities, you can learn about the latest research trends and technological development, get to know your peers and establish extensive academic contacts. This is of great significance to your future career development and academic exchanges.

Finally, be patient and persistent. Mathematical research is often a long and arduous process, and many setbacks and difficulties may be encountered. In this process, we should keep a positive attitude, believe in our own ability, and make constant efforts and attempts in order to finally succeed.