mathematicians doing physics are the best (this isn't sarcasm, I genuinely love stuff like this)pic.twitter.com/A59etBaPNo
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Mathematical physicist and mentor to mathematically talented youth. Talent is that which bridges the gap between what can be taught and what must be learned.
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mathematicians doing physics are the best (this isn't sarcasm, I genuinely love stuff like this)pic.twitter.com/A59etBaPNo
I haven't had the chance to go through Arnold yet actually, but I wouldn't be surprised if it does that this is definitely also the exposition in Thirring so this actually isn't surprising, but it's still a bit amusing it comes from this guy, actually: https://arxiv.org/abs/dg-ga/9708004 …
I am biased as a mathematician, but Arnold starts much more down to earth before building up (very fast) the formalism he needs (leaving lot left as exercise). It is advanced but it is a marvellous read and filled of physical intuition.
Btw thanks for that screenshot. Its going to be a very fun way to begin my lecture on Monday 
there's an even better one that might help, let me try to find it fake edit: found itpic.twitter.com/OHz0uFnt8z
The really interesting question is: why is momentum a covector, rather than a vector? In the long run, it's really all about co-adjoint orbits, not cotangent bundles.
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