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the_kid
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Generally speaking, what physics and math should one be comfortable with before taking a course on General Relativity? If it helps, the course will be using Shultz's A First Course in General Relativity.
I know very little differential geometry. Although the professor says he'll cover all of the required math as needed, I'm still wary. I have no problem with picking up math as I go (and I've done it before for other classes), I just feel this might be particularly difficult. Has anyone tried it before or taken a similar class?
Generally speaking, what physics and math should one be comfortable with before taking a course on General Relativity? If it helps, the course will be using Shultz's A First Course in General Relativity.
Unlike most introductory texts, this one does not assume that the student has already studied electromagnetism in its manifestly relativistic formulation, the theory of electromagnetic waves, or fluid dynamics.
[...]
The student is assumed already to have studied: special relativity, including the Lorentz transformation and relativistic mechanics; Euclidean vector calculus; ordinary and simple partial differential equations; thermodynamics and hydrostatics; Newtonian gravity (simple stellar structure would be useful but not essential); and enough elementary quantum mechanics to know what a photon is.
Why would they have to know QM before being exposed to GR ?? Dubious idea.
The math used in QM is different than the math used in E&M and classical mechanics.
It's about the math used in QM, not that you actually use QM in GR...
The math used in QM has nothing to do with the math used in GR