Since there hasn't been a flood of responses, I would be happy to just be pointed in the direction of a resource with some basic examples. I checked out two books from my library and looked around online with no clear, simple examples.
Hello. Apologies if this is in the wrong forum. This seemed the most relevent. I'm learning math a little late in life and am just now at one-forms. This is just a general question relating to that subject. I was hoping that somebody could explain the process of calculating a one-form relative to an arbitrary basis. For example, a basis:
e1 = 0, 1, 0 (relative to x1, x2, x3)
e2 = -1,-1, 0
e3 = 0,0,1
If w=dx1, than what is w relative to the above? What would dw be? Any help or an example would be appreciated.
Also, what if w is more complicated? w=x2*dx1 (or any function really).