Manifolds 3 | Hausdorff Spaces [dark version]

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This is my video series about Manifolds where we start with topology, talk about differential forms and integration on manifolds, and end with the famous Stoke's theorem. I hope that it will help everyone who wants to learn about it.

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#Manifolds
#Mathematics
#Differential
#LearnMath
#Stokes
#calculus

I hope that this helps students, pupils and others. Have fun!

(This explanation fits to lectures for students in their first and second year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)

[Are.]

This class is amazingly well made! I'm surprised with how I understand everything so easily, thank you so much!

[timothypulliam]

What if you had an open set that only contained a? Then N would have to be infinity, and there would only be a finite number of elements, namely a.

[vgzvusr]

1:15 Can't I just find a deference between the elements of the set to estimate the metric?

[vgzvusr]

1:16 I guess the notion of "metric" was an overkill in the genesis of mathematics.

[vgzvusr]

1:15 If we can't measure distances, so it is of zero point to depict a manifold as an encircled area. No linear measure, hence no areal measure. In such case, all elements of the manifold should take place in a single dot, idk how, though.

[gustavmardby]

I would prefer if you made videos of new material rather than videos with the exact same material as you've already done except with another background color.