“The ability to feel the beauty of mathematics is probably the most important ability to be a good mathematician. Sense of beauty is of course defined very differently between mathematicians. It is important that each mathematician have their own way to feel the beauty of mathematics. Otherwise we cannot be original.”—Kenji Fukaya

这里整理了我的一些数学学习笔记、学习资源和我的学习资料

• Basic Courses : 数学分析、高等代数

• Analysis : 实分析、复分析、泛函分析、调和分析

• Equation : 常微分方程、偏微分方程

• Geometry : 微分几何、微分流形、黎曼几何、黎曼曲面、复几何

• Topology : 点集拓扑、微分拓扑、代数拓扑

• Algebra : 近世代数、交换代数、同调代数、李代数与李群、表示论

• Number theory : 解析数论、代数数论

• Probability : 概率论、随机过程

• Statistics : 数理统计