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JiT
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I just started reading the book The Perfect Theory by Ferreira and it has rekindled an old desire of mine to pursue a study of physics ultimately culminating in being able to fully comprehend (and play with) Einstein's field equations. My problem is I don't exactly know where to begin. I'm hoping some of you can provide some suggestions in that regard.
I'm a masters student in aerospace engineering studying nonlinear guidance and control theory so I'm not a complete novice, but my mathematical background doesn't go beyond the engineering realm (calc I-III, diffEqs, linear systems, Eng. Analysis, etc.). The same goes for physics. I'm very familiar with advanced solid and fluid dynamics, but nothing in the realm of relativity and very little in E&M.
Can anyone recommend an ordered list of math/physics/ topics and/or texts that can serve as a place to get started on my road to fully understanding Eisenstein's ToR?
I'm a masters student in aerospace engineering studying nonlinear guidance and control theory so I'm not a complete novice, but my mathematical background doesn't go beyond the engineering realm (calc I-III, diffEqs, linear systems, Eng. Analysis, etc.). The same goes for physics. I'm very familiar with advanced solid and fluid dynamics, but nothing in the realm of relativity and very little in E&M.
Can anyone recommend an ordered list of math/physics/ topics and/or texts that can serve as a place to get started on my road to fully understanding Eisenstein's ToR?