The method of moments is a generic name given to projective methods in which a functional equation in an infinite dimensional function space is approximated by a matrix equation in a finite dimensional subspace. Any projective method can be put into the language and notation of the method of moments, hence the concept is very general. Any linear field problem can be formulated either by differential equations (Maxwell's equations plus boundary conditions) or by integral equations (Green's functions plus superposition). Furthermore, neither the differential formulation nor the integral formulation for any particular problem is unique. The method is applied to electromagnetic scattering from conducting bodies. Computational examples are given for a sphere to illustrate a numerical implementation of the method.