High School
Fun Stuff

Up Notes Research Learning
Current classes - Number theory - High school math - College math

Everything on this page is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License. More recent notes are available at
 Creative Commons License

Number Theory

Here are various notes on number theory I've written up on number theory. Update: Please use this googledoc to report typos and for general comments and discussion on the text. I will check it periodically.

Proof of prime number theorem for arithmetic progressions: analytic-nt.pdf

Algebraic number theory, class field theory, and complex multiplication: ant.pdf

I've compiled all my number theory notes in the following open-source textbook.
Textbook (NEW: source now on github.)

For recent updates, please see the googledoc.

Note much of this is still pretty sketchy; I've extracted the more complete parts into the two documents above.
Contributions and corrections are welcome; please email me at

High school math

College math

Various notes and homeworks I have written up for math subjects.

2012-2013 classes

Source (may not be updated)

Previous classes (Note: the earlier notes are pdfs compiled from Word. I've given errata for them since the original word documents are corrupted and uneditable. Now I've learned better and use LaTeX instead.)

Last edited 09/20/2014