Warning

This website has not been updated for quite some time, and is unlikely to see an update for the foreseeable future.

The majority of these notes were taken while studying a program which I have now completed, and in software which I no longer use.


Unfortunately, this website only contains about 22% of the underlying collection of notes due to some notes being partially complete and thus not suitable for publishing, or because I simply haven't gotten around to marking notes as ready for publishing yet. As such, many links throughout this site (the ones in a darker purple colour) are dead.

Because I am no longer using Obsidian (in which these notes were written), and instead using my own software for taking notes, the only situation in which this website receives a future update would be one in which I implement web publishing functionality into my new software, migrate all my existing notes over to the new format, and have the time to work on this very general set of notes alongside my specific current research interests.

So as it stands, this website is just an archive (of a small part) of what I did to help me get through my undergraduate degree. It is not indexed by search engines, but will stay online.

Hello! My name is Aaron and I an honours student at UNSW. This website is a wiki of my personal mathematics notes, originally written in Obsidian.

Motivation

The purpose for these notes for me, is to be able to have explanations for material that I have learnt so that as I inevitably forget things I can quickly relearn them, and because forcing myself to write clear explanations and proofs for results, which link to other ideas, clarifies them in my thinking. I've made these notes available as a website because I've had colleagues ask me to share parts of my collection of notes with them, and this is a convenient way.

See the style guide for the list of guidelines I have written for myself on writing good education focused mathematical explanations which motivate these notes.

Here are some notes of varying length and complexity which I think represent the clarity of explanation I am aiming for:

Organisation

Because notes can't clearly be put into mutually exclusive categories, I rely on contents pages instead of folders to find things. Here is a list of undergraduate and honours subjects I have taken (or plan to take), each of which is a link to the contents page for that subject.

Correctness

If you spot any mistakes on any notes and would like to issue a correction please get in touch. Such corrections are greatly appreciated, but of course, not expected. Eventually I will set up a more suitable system for this which allows suggesting specific edits on specific pages, but I just haven't gotten around to it yet.

I make no promises of the correctness of the notes here. I obviously try to make sure things are correct, however I am a student, not an expert, and these notes are designed primarily to help me learn and remember material.