This book, in its seventh edition, has always enjoyed a reputation for expository excellence.

The text is both a learning manual as well as a reference manual. It is based on a dual geometric-analytic approach to each topic of discussion. The concepts and theorems are first visualized and understood heuristically, and then are reduced to an algebra-calculus framework for computation or mathematical scrutiny. The text is unique in its presentation of the laplacian and the vector potential.

The text can be used at several levels. The first four chapters constitute a compact one-semester introduction to the subject. Chapter five and the appendixes address deeper topics in differential geometry, potential theory, physics, and engineering.