Elementary Mathematics (an indispensable foundation)

All the mathematics learned in middle school.

◆ Advanced Mathematics ◆

※ The following course material be suitable for self-study, and the content be relatively basic.

1. Elementary calculus

Example textbook: Advanced Mathematics (6th Edition), edited by Tongji University Applied Mathematics Teaching and Research Section, Higher Education Press.

2. Linear algebra

Example textbook: Linear Algebra (Physics), edited by Xu Junmin and others, Lanzhou University Press.

3. Probability theory and mathematical statistics

Example textbook: Probability Theory and Mathematical Statistics, edited by Sheng Chu, Zhejiang University Press.

4. Mathematical and physical methods

Example textbook: Methods of Mathematical Physics edited by Liang (3rd edition), Higher Education Press.

The following course materials are suitable for self-study and require high content, which are generally selected by universities. ※.

5. Advanced calculus (focusing on the content of mathematical analysis)

Example textbook: calculus course (8th edition) (Vol. 1 ~ 2), by Fichkingolz (former Soviet Union), translated by Ye; Higher education press.

6. Theory of ordinary differential equations

Example textbook: Ordinary Differential Equations edited by Wang Gaoxiong (Third Edition), Higher Education Press.

7. Primary group theory

Example of textbook: Fundamentals of Modern Algebra, edited by Zhang, Higher Education Press.

◆ Modern Mathematics ◆ (This part is only offered by Peking University, University of Science and Technology and Tsinghua, and it is an elective course).

1. Primary differential geometry

Example textbook: Introduction to Differential Geometry and General Relativity edited by Liang Canbin (2nd Edition) (Volume I), Science Press.