Energy Methods in Electromagnetism

This book, first published in 1981, applies the variational principles of mechanics to electromagnetic problems, creating a streamlined, practical method for solving electromagnetic field calculations. The author explains how it is possible to obtain upper and lower bounds to the equilibrium energy by the dual formulation of the electromagnetic equations' structure, in which the coordinates and momenta are interchanged. Other advantages of the dual formulation are considered, and the author provides full details of the basis of the method, an account of Lagrangian mechanics, and a number of fully worked examples.