1 · Introduction to textbooks
Fudan University Advanced Algebra TextbookIt has been used in the Department of Mathematics of Fudan University since September 1993. It has been revised several times over the past 30 years. The content is rich and detailed, and the material selection keeps pace with the times. It covers important theories such as determinants, matrices, linear spaces, linear maps, polynomials, eigenvalues, similar standard forms, quadratic forms, inner product spaces and bilinear forms. Since the 21st century, high-tech technologies represented by artificial intelligence and big data have emerged suddenly, and mathematics (such as matrix decomposition theory, etc.) is the driving force behind these high-tech technologies. In order to meet the demand for cultivating top innovative mathematics talents in the new era, we have added a large amount of matrix decomposition content to the third edition of the textbook and emphasized their related applications; we have added a "History and Prospects" column to the fourth edition to introduce the historical background of relevant knowledge points. These contents provide rich materials for ideological and political teaching in the course. This textbook has been continuously polished and improved for more than 30 years, and has been continuously selectedNational planning textbooks for undergraduate general higher education during the “10th Five-Year Plan”, “11th Five-Year Plan” and “12th Five-Year Plan”. Fudan University’s advanced algebra course using this textbook won theThe first batch of national first-class undergraduate courses in 2020. As of February 2025,A total of 34 universities use itThis textbookGive lessons.
2 · PPT courseware
The teaching material is accompanied by PPT courseware to facilitate college teachers to better use this teaching material for teaching.
3·Official exercises and answers
The textbook comes with official exercises and solutions, which can be downloaded by scanning the QR code in the textbook.
4 · Learning Method Guide (also known as Advanced White Paper)
The learning method guide accompanying the textbook provides a detailed summary of the important ideas, methods and techniques in advanced algebra. It is called the advanced algebra white paper by students across the country.
5 · Main lesson teaching video (Yiban Excellent Course)
The teaching materials are accompanied by regular online courses. You only need to register a username on the Yiban Youku platform to watch all high-definition teaching videos for free.
6 · Exercise lesson teaching video (Station B)
The online courses with accompanying exercises and textbooks can be viewed for free on Station B.
7 · Contact us
If you are a college teacher, you plan to use Fudan University’s advanced algebra textbooks to teach in the past one or two years., please use the school’s official email and contact me with your real name (Xie Qihong, qhxie[at]fudan.edu.cn). After I confirm your identity on your school's official website and communicate with you, I can provide all PPT courseware for free.
8 · Precautions
1. College students please do not send emails to request PPT courseware.
Machine-translated from the Chinese original 欢迎国内高校选用复旦大学高等代数教材 (published 2025-06-04). WeChat original ↗