The author has a course on web: http://brickisland.net/DDGSpring2016/ It has more reading assignments and sliders which are good for you to understand ddg. ------------------------------------------------------------- DISCRETE DIFFERENTIAL GEOMETRY :…

-------------------------------------------------------------- Chapter 1: Introduction to Discrete Differential Geometry: The Geometry of Plane Curves . A better approximation than the tangent is the circle of curvature. . If the curve is sufficientl…

<Differential Geometry of Curves and Surfaces> by Manfredo P. do Carmo real line Rinterval I==============================================CH1 CurvesDEFINITION. A parametrized differentiable curve is a differentiable map a: I --> R3 of [an open in…

I studied the on-line course(http://brickisland.net/DDGSpring2016/) by myself, and here are the screenshots of my implements(https://github.com/yaoyansi/DDGSpring2016) on some algorithms. equally-weighted normal area-weighted normals angle-weighted n…

<Differential Geometry of Curves and Surfaces> by Manfredo P. do Carmo real line Rinterval I==============================================CH1 CurvesDEFINITION. A parametrized differentiable curve is a differentiable map a: I --> R3 of [an open in…

http://alpha01.dm.unito.it/personalpages/abbena/gray/ Contents   1. Curves in the Plane |   2. Famous Plane Curves |   3. Alternative Ways of Plotting Curves |   4. New Curves from Old |   5. Determining a Plane Curve from Its Curvature |   6. Global…

 > 目  录 <  Agent–Environment Interface Goals and Rewards Returns and Episodes Policies and Value Functions Optimal Policies and Optimal Value Functions  > 笔  记 <  Agent–Environment Interface MDPs are meant to be a straightforward framing of th…

目前本人只进行到了第五章的章末补充练习,应该是从4月6号开始学习的,又是英文版,而且基本就下班回家抽2个小时左右去学,所以进度较慢. 由于本质是数学,除了一些程序处理和大计算量的问题,基本上一本草稿本和一支笔即可.其实这次已经是三周目了, 第一次是大二,只是粗略目扫一遍,很多都是不理解就跳过,假装自己已经懂了:第二遍是毕业之后第一年,大概稍比第一次多懂了一些之前遗留跳过的概念,推论,和问题,但也只能说是基本上只吃透了差不多60%而已.时隔两年,又重拾基本核心,希望可以再次温故知新吧. 先说下全书…

第五章.曲面的内蕴几何学 1.曲面的等距变换 2.曲面的协变微分 协变微分: 3.测地曲率与测地线 4.测地坐标系 4.1.测地平行坐标系 4.2.测地极坐标系和法坐标系 5.Gauss-Bonnet公式 格林公式: 6.曲面的Laplace算子 stokes公式: 7.Riemann度量 7.1.Riemann度量 7.2.结构方程 7.3.切向量场 7.4.协变微分 7.5.测地曲率…

第四章.标架与曲面论的基本定理 1.活动标架 2.自然标架的运动方程 爱因斯坦求和约定(Einstein summation convention) 3.曲面的结构方程 4.曲面的存在唯一性定理 5.正交活动标架 6.曲面的结构方程(外微分法) 6.1.外微分形式 6.2.曲面的结构方程 6.3.E3的正交标架与曲面的部分标架…