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Which textbook is used for advanced algebra and mathematical analysis in the mathematics department of Nankai University?
They wrote their own textbooks. Shu Gao seems to have been written by Meng Dao Ji and others. It is divided into three volumes, namely Li Chengzhang and Huang Yumin. Divided into two volumes, published by Science Press. If you go to JD.COM or Zhuo Yue, there must be some.

These professors once taught Nankai mathematics experimental class.

However, if it is not a pilot class, such as applied mathematics, it used to be.

Mathematical analysis (Fudan)

Advanced Algebra (Peking University)

Concise abstract algebra

This is a textbook written by Gu Pei and Deng Shaoqiang.

Gu Pei is a national famous teacher.