Hello guys, so I have a problem. I am familiar with a fair bit of physics but I cannot seem to cross the gap between classical to relativistic physics. If someone could give me a road map on how to get to GR that would be helpful. For those of you wondering this is where I am at.(adsbygoogle = window.adsbygoogle || []).push({});

Mathematics:

Calculus I(Well Understood)

Calculus II(Well Understood)

Calculus III(I have trouble with the vector portion, and am not totally familiar with the whole 3-d lot of things, but I get the idea and am working on it right now)

Ordinary Differential Equations(Pretty Well Understood, I am still working on it but I've got down the idea of characteristic roots, laplace transform, homogenous etc..., seperation of variables, exact, repeated differentiation for solutions... still working on figuring out integral equations etc...)

Partial Differential Equations(Absolute Newbie, can only do seperation of variables (although I could probably deduct my way through some))

Linear Algebra(Absolute Newbie, I'm quite familiar with matrices and matrix equations, tensor equations etc... but still not a pro and not at all aware of the basics such as eigenvalues)

Multilinear Algebra(Absolute Newbie)

Matrix Calculus(Absolute Newbie, I'm trying to work my way through it and it is becoming awfully difficult)

Tensor Calculus(Can't say I know anything...)

Topology(Absolute Newbie, although I conceptually can visualize and understand a lot if I'm given an explanation for stuff)

Differential Geometry(Absolute Newbie)

Differential Topology(Absolute Newbie)

And I believe if I make it through that list I will have all the background mathematics to pursue GR.

Physics (a lot shorter list):

Newtonian Mechanics(Well Understood)

Special Relativity(Somewhat Understood, I understand all the formulas, how to apply them, and I understand how some of them are derived conceptually but others such as the energy-mass equivalence and lorentz transform are still unknown to me how they are derived.)

General Relativity(I see the formula, I get that its a tensor formula, and I get the general idea that we are relating the topological curvature to the actual spatial metric to the energy density but I cannot deal with it mathematically or work with it at all)

I don't know how much further I need to move, if somebody could give me a road map of what to master in what order to fully grasp GR it would be greatly appreciated.

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# How do I go about learning GR?

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