Differential Geometry of curves and surfaces: bibliography?

Dear all, next year, I will probably teach a one-semester course of Differential Geomtry of curves and surfaces. Its content must be something along the lines of the first four chapters of Do Carmo's famous book and my plan is indeed to follow it.

But I would like to know some other, more modern, references. Particularly some including material for Matlab or Maple. I'm already aware of the book of John Oprea: any other references?

I would also be greatful to know about some links to webpages with this subject.

Any hints, ideas, references, suggestions... are welcome. Thank you in advance.

Solution 1:

My favorite is Andrew Pressley's "Elementary Differential Geometry." The material in it is very standard, yet the treatment is more modern than do Carmo's. However, I don't think there's much in the way of material for MatLab or Maple...

Solution 2:

I like the book Differential Geometry of Curves and Surfaces by Toponogov.

Besides its conciseness, it is well written and has some cool results on geodesic triangles which don't appear on Manfredo´s book.

Solution 3:

If you can use Mathematica, see Modern Differential Geometry of Curves and Surfaces with Mathematica.