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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.


00:00 Introduction
00:37 Definition: Cartan derivative on one chart
03:15 Product rule for the exterior derivative
04:10 Correction: The last index for ν is l (not k)
06:05 Complex property for the exterior derivative
08:27 Example of the exterior derivative on R³ (curl)
13:37 Credits

#Manifolds
#Mathematics
#Differential
#LearnMath
#Stokes
#Gauss
#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)