Collect and read relevant literature: Understanding the achievements and methods of previous studies will help to determine the research direction of the paper, avoid repeated research, and help you to deeply understand the related concepts and theories of higher mathematics.
Determine the research scope and method of the paper: according to the topic of the paper and the existing literature, determine the research scope and method of the paper, and consider using specific mathematical theorems or methods to solve problems, or carry out practical application research such as mathematical modeling and numerical calculation.
Carry out research and analysis: according to the determined research direction and methods, carry out specific research work such as mathematical analysis, calculation and proof, which needs to be expressed in clear and rigorous mathematical language.
Writing a thesis: According to the thesis specification, writing a high-number thesis needs to follow the scientific thesis writing specification and language specification, and at the same time, we need to pay attention to language expression, argument logic, conclusion accuracy and other issues.
In short, writing advanced mathematics papers requires a comprehensive grasp of the relevant theories and methods of advanced mathematics, as well as strict logical thinking ability and scientific paper writing ability. If you need to write an advanced mathematics paper, you can refer to the above steps and ask your tutor or classmates for help and advice.