I keep a list of materials that I have found helpful in my studies. Unless otherwise noted, all items on the lists below are works that I have read in their entirety.

Books

• 《数学分析新讲》（共三册），张筑生
• 《数学分析习题课讲义》（共两册），谢惠民等
• Introduction to Linear Algebra, Gilbert Strang
• Linear Algebra Done Right, Sheldon Axler
• Algorithms, S. Dasgupta et al.
• (Excerpt) Mathematical Logic, Heinz-Dieter Ebbinghaus et al.
• (Not Finished) Abstract Algebra, Dummit & Foote
• (Not Finished) An Introduction to Manifolds, Loring W. Tu

AI-Generated Notes

I sometimes study from notes generated by AI. This approach works particularly well when I want to learn only the rudiments of a subject. All notes below were generated by Gemini 2.5 Pro and lightly edited by me (for typography).

• An Introduction to Tensors for the Abstract-Minded
• On the Two Notions of the Tensor Product of Operators
• The Foundations of Tensor Algebra
• Symmetry and Structure in Tensor Algebra
• An Introduction to Generalized Functions (Distributions) and Their Applications
• An Introduction to Category Theory

Online Courses

None by far.