1. Master basic concepts and theorems: The basis of mathematical analysis is to master basic concepts and theorems such as limit, continuity, differential and integral. We should deepen our understanding by reading textbooks, participating in class discussions and doing exercises.
2. Do more exercises: consolidate and improve the analytical ability through a lot of exercises. You can find suitable topics from textbooks, reference books and online resources. In the process of doing the problem, we should pay attention to summing up the laws and methods and form our own problem-solving ideas.
3. Learn to use mathematical tools: There are many practical tools in mathematical analysis, such as drawing, listing and simplification. Learn to use these tools flexibly to solve practical problems.
4. Cultivate logical thinking ability: Mathematical analysis requires strict logical thinking, and you should learn to draw conclusions from known conditions and use logical reasoning. You can exercise your logical thinking ability by learning logic and participating in debate activities.
5. Learn to communicate and express: Mathematical analysis is not only a process of solving problems, but also needs to be able to express your ideas clearly. It is very important to learn to explain your problem-solving process in concise and clear language, which is very important to improve your analytical ability.
6. Reading classic papers and works: Understanding the history and development of mathematical analysis and reading the papers and works of famous mathematicians can help us better understand analytical methods and skills.
7. Participate in academic activities and discussions: Joining academic organizations or participating in academic activities related to mathematics and exchanging discussions with others can improve your analytical ability and broaden your horizons.
8. Review and summarize regularly: review what you have learned regularly, summarize your own learning experience and methods, and constantly adjust and improve your study plan.
9. Maintain patience and perseverance: Mathematical analysis is a long-term process that requires a lot of time and energy. Persevere patiently and believe that you will make continuous progress.