math

Posting some math related latex documents

Development Environment

安裝LaTeX：
- 一般Linux有 pdflatex command 可使用。
- Windows: https://miktex.org/ , https://www.texniccenter.org/
Web
- mathURL
- Overleaf
IDE

Docker:

如果你不想安裝LaTeX，可以使用Docker。以下是一個例子：

下載：

docker pull ghcr.io/xu-cheng/texlive-full:latest

編譯：

docker run --rm -it -v $(pwd):/src -w /src/Books/BabyRudin ghcr.io/xu-cheng/texlive-full:latest latexmk -pdf -file-line-error -halt-on-error -interaction=nonstopmode ./BabyRudin.tex

開啟：
```
open ./Books/BabyRudin/BabyRudin.pdf
```

Books

Mathematics for Computer Science, Eric Lehman, F Thomson Leighton, Albert R Meyer
Algorithm Design, Jon Kleinberg, Eva Tardos
Combinatorial Optimization: Algorithms and Complexity, Christos H. Papadimitriou, Kenneth Steiglitz
Principles of Mathematical Analysis, Walter Rudin
- Errata
Basic Analysis: Introduction to Real Analysis, Jiří Lebl
Analysis I, Terence Tao
Understanding Analysis, Stephen Abbott
Problems in Mathematical Analysis, Boris Demidovich
A Problem Book in Real Analysis, Asuman G. Aksoy, Mohamed A. Khamsi
Linear Algebra Done Right, Sheldon Axler
Linear Algebra Done Wrong, Sergei Treil
Abstract Algebra: Theory and Applications, Thomas W. Judson, Robert A. Beezer
Measure Theory, Donald L. Cohn
Algebraic Number Theory, Jürgen Neukirch

Papers

Mathematical method and proof, Jeremy Avigad

Courses

Calculus 1, Chen-Yu Chi, NTU OCW
Calculus 2, Chen-Yu Chi, NTU OCW
Analytics, Chen-Yu Chi, NTU OCW
Advanced Calculus 1, Shu-Jung Kao, NTHU OCW
Advanced Calculus 2, Shu-Jung Kao, NTHU OCW
Advanced Calculus 1, Chi-Kaung Pai, NYCU OCW
Advanced Calculus 2, Chi-Kaung Pai, NYCU OCW
Real Analysis, Casey Rodriguez, MIT OCW
Probability Theory and Stochastic Processes, Todd Kemp, UCSD

YouTube Channel

FAQ on LaTeX and PGF/TikZ

如果我不懂 LaTeX 怎麼辦？

Quick Start: https://latex-tutorial.com/tutorials/amsmath/
Quick Reference: https://en.wikipedia.org/wiki/Help:Displaying_a_formula
LaTeX Tutorials (featuring Texmaker), Michelle Krummel

如果我不懂 PGF/TikZ 怎麼辦？

用電腦typeset數學證明是學習數學證明的最佳方法嗎？

不，根據研究（ref: https://www.youtube.com/watch?v=7PQbidoBPBc ），手寫對長遠記憶的效果更好。可是，如果你想別人看到你的練習／作品，或者方便保存日後參考／分享，使用 LaTeX 吧！

ceciliachan1979 / math