Third Year Maths Tripos

Math
Anki Decks for several pure Cambridge maths courses (each card is tagged by course, and this covers Number Fields, Galois Theory, Linear Analysis, Probability & Measure and Graph Theory Made by Neel Nanda. If you find this useful, I'd love to hear about it! And please message me with any errata. Disclaimer: These were entirely written to make sense to me, and according to how I think about maths. I hope they're useful! But some proportion are unlikely to make much sense to other people. And these are intended to cover the parts of courses that I find hardest to remember, rather than being comprehensive coverage of everything. To use these, there are Android (free), iOS (paid) apps, or you can download desktop software here https://apps.ankiweb.net/, you can't add shared decks directly through the website Categorised into different note types as follows: Define is definitions Recall is formulae/equation/fact recall Prove is bookwork, stating & proving theorems Archetype is the algorithm for a typical exam question Intuition is a mix of tricks, useful mindsets and high level understanding (note:[name of category] should sort for those) In descending order of how useful I expect them to be as flash cards and ascending order of how interesting I expect it to be to see another perspective on the course!

Sample Data

Definition Tail [$]\sigma[/$]-algebra
Back Given a sequence of rvs, [$]T=\cap_n \sigma(X_n, X_{n+1},...)[/$]
Extra
Tags PnM
Definition k-colouring
Back A vertex colouring, ie a map [$]c:V(G)\to [k][/$] st there's no monochromatic edges
Extra
Tags Graph
Question Why is it important when a transformation smoothly depends on [$]\theta[/$]?
Back We can write it as [$]U(\theta)=e^{-i\theta T}[/$] where [$]T[/$] is Hermitian
Extra
Tags PQM
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