梁旭民的笔记

这篇页面汇集了课程笔记与翻译资料，涵盖数学与物理多个方向的学习资源。通过整理不同课程的讲义、习题与相关翻译，方便集中查阅与学习。整体结构清晰，便于快速找到对应内容，既适合课程复习，也有助于深入阅读原文与补充资料。用中文做标题的是中文内容，the one with English title is in English.

课程笔记

笔记	习题
分析
概率论与数理统计

代数
笔记	习题
Algebra	Algebra Problem Sheets
Category Theory	Category Theory Problem Sheets

拓扑
笔记	习题
拓扑	Topology Problem Sheets

几何
笔记	习题
几何学基础
Differentiable Manifolds	Differentiable Manifolds Problem Sheets
Lie Groups	Lie Groups Problem Sheets
Lie Algebras	Lie Algebras Problem Sheets
Riemannian Geometry	Riemannian Geometry Problem Sheets
Mathematical Gauge Theory 1	Mathematical Gauge Theory 1 Problem Sheets
Mathematical Gauge Theory 2	Mathematical Gauge Theory 2 Problem Sheets

物理
笔记	习题
Geometric Quantization
量子力学原理	Principles of Quantum Mechanics Solution Manual

翻译

翻译	原文链接	原文作者
当代数学物理专题	Topics in Contemporary Mathematical Physics	Kai S Lam
Morse理论	Morse Theory	John Willard Milnor
量子化是个迷	"Quantization is a mystery"	Ivan Todorov
Sidney Coleman的量子场论课程	QUANTUM FIELD THEORY: Lectures of Sidney Coleman	Sidney Coleman