Terence Tao Analysis

These are my notes on the books Analysis I and Analysis II, 4th edition, written by Terence Tao. My notes cover statements I found important or interesting, including almost all axioms, corollaries, exercises, lemmata, proofs, propositions, remarks, and theories in both books. Errata on Tao's website (Analysis-I and Analysis-II) are used to correct errors in both books. I have written proofs for exercises. Most exercises cannot be completed without referencing solutions from online forums. So, many thanks to the people who provided their solutions at math.stackexchange, taoanalysis.wordpress.com, and many other sources.

Compile to PDF

One has to install texlive before compiling tex files (official installation is recommended). I use vscode extenstion latex-workshop to build PDF file from TeX. I use the default recipe to build main.tex.

Contribution

Issues

I do not have a mathematical background. I do try my best to make every statement I wrote as correct as possible. Still, my proofs could be wacky, non-rigorous, and incorrect. Any helps are appreciated, especially for the followings:

• Correct syntax and grammar, because I'm not a native English speaker.
• Make proofs fluent and rigorous.
• Finish proofs that I am struggled with.

Please fork the repository and submit a pull request, or just open an issue. I will response ASAP.

Formatting

Tex files are linted by latexindent.

Unsolved Exercises

• Analysis I
  • 8.1.10
• Analysis II
  • 5.5.3
  • 5.5.4
  • 5.5.5
  • 5.5.6
  • 6.4.5
  • 6.7.4
  • Chapter 6
  • Chapter 7
  • Chapter 8