MHB Lecture Notes from Cambridge and Oxford

AI Thread Summary
A comprehensive collection of lecture notes on mathematics and physics from Cambridge University is available, covering topics from beginner to advanced levels. The Cambridge notes have recently been updated to include additional subjects such as algebraic geometry, astrophysics, and condensed matter physics. Additionally, there is a collection of notes from Oxford University, accessible through their homepage. Both resources provide valuable educational material for students and enthusiasts alike. These collections are essential for anyone looking to deepen their understanding of these subjects.
ModusPonens
Hi.

There's a great collection of lecture notes on mathematics and physics form Cambridge University that is linked on reddit.

https://www.reddit.com/r/math/comments/csgigv/collection_of_lecture_notes_on_mathematics_and/

It has notes on almost every topic, beginner, intermediate, and advanced.

There's also a great collection of notes from Oxford University. The Oxford link is to their home page, and the Cambridge link is to a cloud service.

https://ln.sync.com/dl/1f4af5c40/9hi9gt4i-evpn76tq-badt8eaz-ckxem3zf

https://courses.maths.ox.ac.uk/overview/undergraduate

Cheers!
 
Mathematics news on Phys.org
The Cambridge collection has been updated with more lecture notes. They include a bit of everything, and also fill the previous voids in algebraic geometry, astrophysics, and condensed matter physics.
 

Thread 'Non-orthogonal bases'

Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
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Thread 'Imaginary Pythagorus'

Thread 'Imaginary Pythagorus'

I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...
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