Book excerpt: Engineering Electrodynamics: A collection of theorems, principles and field representations deals with key theorems and principles that form the pillars on which engineering electromagnetics rests. In contrast to previous books, the emphasis here is on the underlying mathematical theme that binds these specific geometries. The relevant background material for the understanding of the various theorems is included in the book. After the theorems and principles are expounded, detailed examples are worked out, which further shed light on the those involved. This book also includes comprehensive material on some recent developments such as transformational electromagnetics. Detailed accounts of relevant complex variable theory, Bessel functions, and associated Legendre functions in the appendices make this book self-contained and suitable for graduate and advanced study. Key Features Single book that contains relevant theorems, principles and integral representations of importance to engineering electromagnetics Includes new results not found in other books Demonstrates the application of the theory to facilitate a clear understanding Emphasizes analysis as a complement as well as the building block to the more common approach of using computational/software tools in engineering problem solving End-matter and appendices that contain valuable information on covariant formulation, special functions, and stochastic analysis