Differential geometry of surfaces in affine spaces

[madilyn]

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?

Thanks!

 

[Greg Bernhardt]

I'm sorry you are not finding help at the moment. Is there any additional information you can share with us?

 

[NumericalFEA]

Here is a rather unusually written book, but you may like it:
"Differential Geometry" by Heinrich W. Guggenheimer
https://www.amazon.com/dp/0486634337/?tag=pfamazon01-20