Generalized Vector and Dyadic Analysis: Applied Mathematics in Field Theory

An indispensible reference tool for engineers, mathematicians, and physicists, this book describes in detail previously unpublished methods for treating and presenting vector and dyadic analysis. Along with pointing out a number of fundamental misunderstandings, the author presents original work on a new symbolic method with the aid of a symbolic vector.

For this revision of the 1992 edition, the author has added a chapter explaining the confusion that usually arises from misinterpretation of Gibbs' notation for divergence and curl. He has also expanded his discussion of the use of the symbolic vector in the general non-orthogonal curvilinear system.

This concise and rigorous book employs the symbolic vector for a systematic treatment of the entire subject of vector analysis and includes the derivation of new vector theorems and vector and dyadic identities. It is an approach ideal for graduate-level students in eletromagnetic engineering, physics, and mathematics.