So I really want to do well in my differential geometry course next semester, the professor is the one that I want to do research with eventually.
Furthermore, santa is bringing me Do Carmo's "differential geometry of curves and surfaces" for xmas, but since I know Jesus is real and Santa isn't i'm sure my mother will give it to me as soon as I get back home for the holidays. Will this text be adequate for a standard graduate level introduction to the topic? I hear that if you are really serious about differential geometry spivak is the only way to go, am I correct in my thinking that that may be overkill for my purposes? I mean Spivak is broken up into five volumes, so yeah, seems like a bit much.
Thanks!
Forget Spivak .The best book for readability at the graduate level is by William M Boothby -An introduction to Differentiable Manifolds and Riemannian Geometry .