In mathematics, a surface integral is a generalization of multiple integrals to integration over surfaces. It can be thought of as the double integral analog of the line integral. Given a surface, one may integrate over its scalar fields (that is, functions which return scalars as values), and vector fields (that is, functions which return vectors as values).Surface integrals have applications in physics, particularly with the theories of classical electromagnetism.

In this book, we make a survey about the principal results about Surface Integrals. Following each result we present an example to apply the theory proposed on this result and each example we present a suitable figure to help to explain the example.