Just pick up Dirac's book "The Principles of Quantum Mechanics" and read it in conjunction with "The Feynman Lectures on Physics Vol III". Don't waste time with linear algebra, the entire content of the undergraduate courses can be learned in half a day. Don't worry about the infinite dimensional...
@Phase well, I don't know who it was, but collectively the room demonstrated an inability to stop starring messages from 1-2 hours ago that look ugly out of context
so the other candidates for such treatment are gone as well.
@0ßelö7 The map is given by like $H^k(M) \times H_{n-k}(M) \to \Bbb R$ sending a $k$-form and a $(n-k)$-cycle to the integration of the form over the cycle isn't it?
@Phase A good undergrad will give you a good understanding, as far as such a thing can be achieved in a few years - it just takes time for things to sink in - we had a saying that you only really understood something 2 or 3 years after doing the course, preferably having had a part in teaching [supervising] it to someone else
@Phase I disagree with that :P You're going to have to pick it up in some form or another at some point if you want to actually do physics. I mean, linear algebra is extremely close to QM
@Phase Although, if you're going to take advice from a physicist about how best to learn physics, it's generally a good idea to listen to the people who publish the best stuff. They so happen to be University lecturers and Profs, who, guess what, teach linear algebra to everyone doing QM. If they turn round and say that it's not necessary, then fair enough
In any case, in literally everything I have ever done in my life, learning the fundamentals has been the most useful thing, even if it's not particularly interesting
"the subset of 3-metrics on $(\Sigma,\hat e)$ such that $R(g)=0$, $g-\hat e\in H^2_\delta, -3/2<\delta<-1/2$ forms a $C^\infty$ submanifold $\mathscr C$ of $H^2_\delta$"
@0ßelö7 If your sole concern in posting something here is whether it might get flagged or not, I might suspect you are not partipating in good faith in the first place.