Designed for accessibility to students, researchers and design and development workers, it discusses the full range of classical and modern methods for the solution of electric, magnetic, some thermal and other similar fields. It deals with 1, 2 and 3 space dimensions, with linear, non-linear and anisotropic media as well as static and ``low''-frequency time variation. Numerous examples, detailing the physical significance of the mathematics and the practical considerations involved in implementing the solutions, make this a very hands-on working reference.