DG, Part 5: I Think It's Touching

I'm not going to give anything like a definition of "surface", as the word is used by differential geometers. There are simply too many steps in the construction to make it worthwhile in a forum like this. Instead, I'll give a few examples and general rubrics before delving into some constructions.

( Surfaces and Tangent Planes )

This post has been rather dry, I'm afraid, but the payoff, in the next post, will be worth it, I think. Bear with me.

Basil

Speaking of webcomics, another one that I've just started following is Gunnerkrigg Court. The deadpan comment at the bottom of this one cracks me up, for some reason.