Thanks to @itsarnavb for asking this question on Patreon!
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Flow chart of the minimal math background needed for an in-depth understanding of each field of Physics you'd learn as an undergrad Directly below each Physics topic (red) is the "language" of that particular fieldpic.twitter.com/TFTisk0zbW
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Thanks. Twitter will use this to make your timeline better. UndoUndo
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Lol I saw that paper .. seemed like a neat idea but I’m set in my ways already
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Is not a vector a special case of a tensor of first rank?
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That’s not what this is a flow chart of
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Wouldn't want to attempt GR without being fairly confident with linear algebra, though.
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True! Certainly helps. This is just a cursory overview, for those looking where to get started Though you don’t need the *kind* of linear algebra for GR that you need for QM
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I think every physicist irrespective of their area of interest should master topology, differential geometry and algebraic structures.
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For many Physicists (me included) all three are essentially as useful as classic ballet. Sure, if you have the time and the passion be my guest, but they are not on any list of things I would consider essential for an undergrad.
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Shouldn’t GR have a node for differential geometry as well?
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I think that’s what is meant by “tensor calculus.” At any rate, differential geometry in its full form (smooth manifolds, bundles, forms, etc.) is a bit much for an undergrad course, and it’s “possible” to do most GR calculations without understanding these things
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