Useful resources

About writing

1. Mathematical Reasoning Writing and Proof, for more, click here.
2. Science writing for non-native English speakers

Mathematical Typesetting Resources

1. Mathematical Typesetting Resources
2. online markdown editor

Lecture notes

1. Algebra

• Hatcher
• J.S. Milne
• The Stacks project
• 李文威

2. Analysis

• Friedrich Haslinger
• Skripten und Seminarunterlagen
• Michael Kunzinger

3. Geometry

• 梅加强
• 石亚龙
• 杨波, also see here if you can.
• Peter W. Michor
• Wolfgang Ziller, about Lie group theory.

4. Probability

• Xi Geng
• Cosma Shalizi

Books and teaching

1. wikibooks
2. openlearn
3. nlab
4. 香蕉空间
5. old books reprinted
6. sciencereading

For more, see stch.

Journals

1. Mathematics Magazine, I was attracted by an article , which gives a nice introduction to Hopf fibration.
2. The American Mathematical Monthly, Fibonacci, Chebyshev, and Orthogonal Polynomials.

Seminar

1. list
2. researchseminars

Others

1. MacTutor, a free online resource containing biographies of mathematicians and essays and supporting materials.
2. https://ramified.github.io/web/main/recommend.html.