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Thread: Differential Geometry

  1. #1 Differential Geometry 
    I will begin teaching myself graduate level mathematics soon, but first I must finish my study of undergraduate mathematics (which I will conclude with introductory differential geometry).

    I have read that any regular parametrized curve can be re-parametrized by arc length. Let us consider the following arc length function:

    However, from this it is supposed to follow for all s(t) there must exist .

    Would we need to use something other than the fundamental theorem of calculus to demonstrate than an inverse exists?

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  3. #2  
    New Member
    Join Date
    Mar 2011
    Wilson, Vermont
    That equation looks so complicated. If I could turn back the time, I would study hard in geometry. I forgot all those equation when I had stopped my study.

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