数学基础Mathematical Foundations
六章、58 节，讲机器人学的共同语言：用线性代数描述空间与坐标系，用微积分描述变化，用概率描述不确定性，用李群描述刚体的姿态与运动，用优化把"想要什么"变成"怎么做到"。 Six chapters and 58 lessons on the shared language of robotics: linear algebra for space and frames, calculus for change, probability for uncertainty, Lie groups for the orientation and motion of rigid bodies, and optimization for turning "what we want" into "how to get there".
1六章之间的关系How the six chapters connect
这六章不是一张平铺的清单，而是一张依赖图。把鼠标放在（或点击）任意一章上：琥珀色是它依赖的章节，紫色是用到它的章节和后续部分。
The six chapters are not a flat list but a dependency graph. Hover (or tap) any chapter: amber shows what it builds on, purple shows what builds on it, including later parts of the course.
2各章一览The chapters
★ 标记的是核心节，每一节都已上线，点击标题即可进入。每章都会写出它的"一句话直觉"和在机器人中的主要用途。
★ marks core lessons; every lesson is live, so just click a title. Each chapter lists its one-line intuition and its main uses in robotics.
3按目标选路线Pick a route by goal
时间有限的话，可以按你的方向挑一条路线先走通，再回头补全。
Short on time? Pick the route that matches your direction, walk it end to end, then come back and fill in the rest.