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#1 |
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Originally posted by aneeshm
I've realised that the completely unstructured way I've been going about trying to self-teach physics and mathematics isn't going to work - everything overlaps with everything far too much. So I'm looking for help in structuring my teaching. I'm also planning on starting from scratch. Oh so you do have teaching experience. Ok. |
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#3 |
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Learn linear algebra. That is key for both relativity and quantum. Understand inner product spaces in particular.
Be able to solve at least relatively simple differential equations. Real analysis is not a requirement for anything you want to do. Learn some differential geometry. "Differential Geometry of Curves and Surfaces" by Do Carmo is the classic text. No need to know everything here. Just get the basics. Geodesics, curvatures etc. Learn EM at a non-trivial level (you probably know it at trivial level). Griffiths' "Introduction to electrodynamics" is good. You need to get all the way to the end in this book. Learn real classical mechanics. Learn variational calculus! Lagrangians&Hamiltonians are 100% necessary! Some rotation of rigid bodies might also be good. Marion&Thornton for a relatively weak undergrad level. Goldstein is better (grad level). The last chapter does classical field theory. Very important. I learned GR and quantum from a variety of sources. I can't make a definitive recommendation. "Gravitation" by Misner, Thorne and Wheeler is the canonical text for GR, while the Griffiths quantum book is often used to teach undergrads (I've never even opened it, so I can make no other claims for it). |
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