AméthéeI try to solve those 2 exercises (without given solutions) but there's a lot I don't understand and I have questions. They are on Stoke's theorem & topology.
First exercise : I'd like the solution, basicallly. I don't understand how a surface with C as its "boundary" (unclear for me) would not cross C at some point and therefore would not be in D.
Second exercise : my geometric interpretation is on the second image. The domain is the whole space without the centered cylinder of radius 1. But I can't see how it's relevant for the next part. Yes there is an undefined point on the center of the circle but not on the circle and with Stoke's theorem I can find a simple surface in the domain of definition of D... What is the goal of this exercise ? I fail to see what I should learn/understand from it.
0x4d6165 (Julie or Mae)
Math Doubts