I need books or articles based on minimal surfaces. By minimal surface, I mean a surface with 0 mean curvature.
More specifically, I wish to explore the Plateau's Problem: There exists a minimal surface with a given boundary.
I would also like to see a proof of the fact that a surface of revolution that is minimal is either a plane, helicoid or a catenoid.
As a supplementary text, could I also have a reference for calculus of variations? (Unimportant, but why is calculus of variations not taught as a course in universities?)
Thank you for your time.