Osserman Robert. A Survey of Minimal Surfaces

New York: Dover Publications Inc., 1986. — 208 p.Parametric surfaces: local theory.
Non-parametric surfaces.
Surfaces that minimize area.
Isothermal parameters.
Bernstein's theorem.
Parametric surfaces: global theory.
Minimal surfaces with boundary.
Parametric surfaces in E³. The Gauss map.
Surfaces in E³. Gauss curvature and total curvature.
Non-parametric surfaces in E³.
Application of parametric methods to non-parametric problems. Heinz' inequality. Exterior Dirichlet problem.
Parametric surfaces in Eⁿ: generalized Gauss map.