Curves and Surfaces > Surfaces
Maps from R2 into R3.
Types of Surfaces Ways of defining and classifying surfaces.
Common Surfaces Surfaces that occur frequently in mathematics at all levels.
Special Surfaces Surfaces with particularly interesting properties.
Miscellaneous Surfaces Assorted less common surfaces.

Intuitively, when we think of surfaces, we might think of ripples on the surface of a pond, a tabletop, or the outside covering of a globe. In a mathematical sense, most surfaces are like a plane bent smoothly in space (possibly with self-intersections, singularities, and other oddities.) That is, they are subsets of R3 that are in some sense 2-dimensional. More precisely, a surface is defined by a map from R2 into R3.