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Math Help - Simple 1-forms relative to a basis

  1. #1
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    Simple 1-forms relative to a basis

    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).
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  2. #2
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    by the way...

    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.
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