The Encyclopedia Project

This is a collection of lecture notes from my undergrad at UCSD, typeset from my handwritten notes with additional discussions or examples that help my understanding. When I was taking these courses, resources like Keith Conrad's were crucial for my learning, and in some sense this project is an attempt to pay it forward, if not be a blatant copy. I have written the proofs in a way that helps me best understand the entire reasoning, and in particular I try to avoid phrases like "clear" and "it is obvious" unless I feel that spelling out the details in full is a distraction from the proof's main argument. Please email me if you find any mistakes or have requests for different topics to be covered here; I fully intend to keep producing these notes for my future independent studies.