TITLE: Visualizing Exterior Derivative
QUESTION [18 upvotes]: How do you visualize the exterior derivative of differential forms?
I imagine differential forms to be some sort of (oriented) line segments, areas, volumes etc. That is if I imagine a two-form, I imagine two vectors, constituting a parallelogram.
So I think provided I can imagine a field of oriented line segments, with exterior derivative I should imagine an appropriate field of oriented areas.

REPLY [2 votes]: Take a look here:
http://mathifold.org/blocks/diff_coh_0_en.html
It will help your intuition. Subsequently chapters will be added soon.