1, textbook selection: Compared with Tongji University, Peking University's advanced mathematics textbooks are more in-depth and detailed, suitable for solid learning. Tongji's advanced mathematics textbooks focus more on application and are suitable for students who want to understand concepts quickly.

2. Coverage of knowledge points: The advanced mathematics textbooks of Peking University cover knowledge points more comprehensively and handle some details more perfectly. Tongji's advanced mathematics textbooks will be simpler when dealing with some complex concepts.

3. Difficulty setting: Peking University advanced mathematics textbooks are more reasonable in difficulty setting and better in gradient design, which is convenient for students to understand and master step by step. However, Tongji's advanced mathematics textbooks will confuse students in the elaboration of some complex concepts. In contrast, Peking University is better than Tongji.