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Differential geometry of surfaces in affine spaces

  1. Sep 2, 2014 #1
    I'm looking for a book or two that details affine spaces and transformations, then differential geometry of surfaces in affine spaces, starting at a level suitable for a year 1-2 undergraduate. In particular, I'd like to understand a few properties (e.g. what's the gradient and curvature at a point) and carry out a constrained optimization on these properties over affine space.

    I'm familiar with constrained optimization in Euclidean space and to a lesser degree, on any general vector space, if that helps a little.

    Could someone recommend me a book?

  2. jcsd
  3. Sep 10, 2014 #2
    I'm sorry you are not finding help at the moment. Is there any additional information you can share with us?
  4. Sep 11, 2014 #3
    Last edited by a moderator: May 6, 2017
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