Infomation and Entropy (3) Compression
Abstract. 为了支持更有效的传输、存储和处理，我们需要对数据进行压缩（即，不简单地逐位翻译每个符号，而是用一串字符代表一段连续的符号）。
这一章前面讲的内容比较宝宝巴士，后面的宝宝巴士可拓展性比较强。整体难度中等。
Tensor Analysis (2) General Bases and Tensor Notation
Abstract. 我们常常需要分量式（Component）以便于计算。为了兼容任意的坐标系，我们需要引入 General Bases，并推导向量和张量的坐标表示和坐标变换。
- General Bases
- The Jacobian of a Basis Is Nonzero
- The Summation Convention
- Computing the Dot Product in a General Basis
- Reciprocal Base Vectors
- The Roof (Contravariant) and Cellar (Covariant) Components of a Vector
- Simplification of the Component Form of the Dot Product in a General Basis
- Computing the Cross Product in a General Basis
- A Second Order Tensor Has Four Sets of Components in General
- Change of Basis
Infomation and Entropy (2) Codes
Abstract. 上一章中我们提到了传输信息的过程中有涉及到 Setup 和 Outcome 两个过程，对应的是对信息的编码和解码。
这一章我们主要谈编码。
然而这一章还是非常宝宝巴士，知识基本上是初赛的真子集。
Tensor Analysis (1) Vectors and Tensors
Abstract. 参考资料是 James G Simmonds 的 A Brief on Tensor Analysis。
本章是向量代数和张量代数基础。
- Directed Line Segments
- Addition, Multiplication by Scalar
- Things That Vectors May Represent
- Cartesian Coordinates
- The Dot Product
- The Cross Product
- Aternative Interpretation of the Dot and Cross Product. Tensors
- Definitions
- The Cartesian Components of a 2nd Order Tensor
- The Cartesian Basis for 2nd Order Tensors
Infomation and Entropy (1) Bits
参考资料：Information and Entropy by Prof. Paul Penfield
Abstract. 讲了各种 bit。科普性质比较大，里面除了量子比特之外涉及的知识都是常识的真子集。