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Apr
15
comment Short differential-form free route to understanding a specific surface integral
Here's your bounty, your answer was well worth it! If some differential-form free reference comes to mind, please let me know. Thank you.
Apr
15
awarded  Nice Question
Apr
14
comment Short differential-form free route to understanding a specific surface integral
No, I keep my word, your answer really was so enlightening, that I can at least spare 50 rep points, I just have to wait 22 hours until the reward can be given. I can only hope that for some of my future questions someone like you (or you) is going to be among the answerers. Do you perhaps know of a text in a general integration theory (over manifolds in $\mathbb{R}^n$, though I'd be also happy with some special case of that - like treating only surfaces, i.e. only $(n-1)$-dimensional manifolds in $\mathbb{R}^n$) is presented, like you did, without appealing to differential forms ?
Apr
11
comment Short differential-form free route to understanding a specific surface integral
Such a great answer! Tomorrow, when I can award the bounty (I have to wait 48 hours after the question has been asked to award it), you will get it.
Apr
11
accepted Short differential-form free route to understanding a specific surface integral
Apr
10
asked Short differential-form free route to understanding a specific surface integral
Apr
9
awarded  Nice Question
Apr
8
comment Omega limit set vs. stable manifold of a point?
Could you please answer my two questions ? That would be great.
Apr
5
comment Omega limit set vs. stable manifold of a point?
Your assumption that I was referring to autonomouse ODEs was indeed correct. Since you stated it like that, is it possible to define these concepts also for non-autonomous ODES (I assume yes, since every non-autonomouse system can be reduced to an autonomous one, the non-autonomouse case can be formally perceived as a special case of autonomouse systems, so it should be possible to translate concepts from the autonomous case to the non-autonomous one) or even PDEs ?
Apr
5
comment Omega limit set vs. stable manifold of a point?
Thanks, this was a really great answer! Can you tell me how you made this drawing and which equations it represents ? Having a concrete example for which I can (maybe even analytically ?) check all this would improve my understanding.
Apr
3
asked Omega limit set vs. stable manifold of a point?
Mar
30
awarded  Yearling
Mar
14
accepted Why is one “$\infty$” number enough for complex numbers?
Mar
2
awarded  Popular Question
Feb
15
awarded  Popular Question
Feb
14
awarded  Nice Question
Jul
14
awarded  Nice Question
Jul
2
awarded  Curious
Jul
2
awarded  Inquisitive
Jun
25
comment Usefulness of alternative constructions of the complex numbers
@BillDubuque Yes, and there are also other constructions, that are in a sense isomorphic. But are they somewhere useful ?