On this website you will find my notes as I write them throughout my time in Cambridge.

Disclaimer

No content presented on this website is official. It is not endorsed by the University of Cambridge, the Maths Faculty, or any of the Lecturers.
It is not an accurate representation of what was lectured or what is examined.
While some notes were taken during lectures, a big part was created after lectures / during revision and heavily modified based on various resources.
In particular, all errors are my own.

Another warning

Most of my lecturers weren’t famous for drawing many things.
Which is good, because I could keep the notes pictureless.
Also bad, because I kept the notes pictureless.

So what’s this?

All that said, my main goals were:

  1. providing quick lookup of all maths notions
  2. having a wikilink whenever a maths concept appears in text
  3. keeping myself entertained during lectures while i struggle with latex and plugins
    I have (so far) failed at (1), tried at (2), and sometimes succeeded at (3).
    Either way, this database might be useful for some of you.

Get started

Best way to get around here is to use the search bar for everything all the time.
Otherwise, you could scroll down and click on some of the linked courses.
Oh and click that “Click Me!” button if you find a page or equation that’s broken.
There is too many files for me to verify that they all render correctly, e.g. $$
\text{the following looks fine in obsidian}

You can't use 'macro parameter character #' in math mode### Acknowledgements The lecture notes were created in [Obsidian](https://obsidian.md/) They were written using [artisticat1/obsidian-latex-suite](https://github.com/artisticat1/obsidian-latex-suite) plugin which was inspired by Gilles Castel's [lecture note snippets](https://castel.dev/post/lecture-notes-1/) If you want to view them in the app, you can find the setup guide in [yarohtar/cam-maths-notes-obsidian](https://github.com/yarohtar/cam-maths-notes-obsidian) This website was created using Jacky Zhao's [Quartz](https://quartz.jzhao.xyz/) The commutative diagrams were rendered using [benrbray/tikzjax](https://github.com/benrbray/tikzjax) which is a fork of [artisticat1/tikzjax](https://github.com/artisticat1/tikzjax/tree/ba892f23a2d280d018681a4f88b39f5a8648c7c7) which is a fork of [drgrice1/tikzjax](https://github.com/drgrice1/tikzjax) which is a fork of Jim Fowler's [TikzJax](https://github.com/kisonecat/tikzjax) which itself uses Jim Fowler's [web2js](https://github.com/kisonecat/web2js) and [dvi2html](https://github.com/kisonecat/dvi2html) ## Part IA [[Algebra/Group Theory/Group Theory]] (taken from [[Algebra/Groups, Rings and Modules]]) some [[Algebra/Vector Spaces/Vectors and Matrices]] [[Probability/Probability]] (taken from [[Analysis/Measure/Probability and Measure]]) [[Analysis/Analysis I]] See also [[Combinatorics/Algebraic Methods in Combinatorics]] for some fun ## Part IB [[Numerical/Optimisation]] [[Calculus/Variational principles]] Some of [[Calculus/Methods]] [[Analysis/Analysis and Topology]] [[Quantum/Quantum mechanics]] [[Algebra/Groups, Rings and Modules]] (only [[Algebra/Group Theory/Group Theory]] and [[Algebra/Ring Theory/Ring Theory]]) [[Numerical/Numerical Analysis]] [[Analysis/Complex Methods]] ## Part II Some of [[Topology/Algebraic Topology]] [[Analysis/Linear Analysis]] [[Numerical/Numerical Analysis]] [[Asymptotic Methods/Asymptotic methods]] [[Foundations/Computability/Automata and formal languages]] Some of [[Quantum/Principles of Quantum Mechanics]] [[Analysis/Measure/Probability and Measure]] (mostly just measure) Some of [[Algebra/Number Theory/Number theory]] Some of [[Combinatorics/Graphs/Graph Theory]] [[Information Theory/Coding and Cryptography]] [[Foundations/Logic and Set Theory]] Some of [[Calculus/Integrable systems]] [[Quantum/Quantum Information and Computing]] ## Part III [[Quantum/Information/Quantum Information]] [[Combinatorics/Algebraic Methods in Combinatorics]] [[Foundations/Category Theory/Category Theory]] [[Information Theory/Information Theory]] [[Foundations/Forcing and Continuum Hypothesis]]