preface. advertisement 1 vector analysis 1.1 vector algebra 1.2 differential calculus 1.3 integral calculus 1.4 curvilinear coordinates 1.5 the dirac delta function 1.6 the theory of vector fields 2 electrostatics 2.1 the electric field 2.2 divergence and curl of electrostatic fields 2.3 electric potential 2.4 work and energy in electrostatics 2.5 conductors 3 special techniques 3.1 laplace's equation 3.2 the method of images 3.3 separation of variables 3.4 multipole expansion .4 electric fields in matter 4.1 polarization 4.2 the field of a polarized object 4.3 the electric displacement 4.4 linear dielectrics 5 magnetostatics 5.1 the lorentz force law 5.2 the biot-savart law.. 5.3 the divergence and curl of b 5.4 magnetic vector potential 6 magnetic fields in matter 6.1 magnetization 6.2 the field of a magnetized object 6.3 the auxiliary field h 6.4 linear and nonlinear media 7 electrodynamics 7.1 electromotive force 7.2 electromagnetic induction 7.3 maxwell's equations 8 conservation laws 8.1 charge and energy 8.2 momentum 9 electromagnetic waves 9.1 waves in one dimension 9.2 electromagnetic waves in vacuum 9.3 electromagnetic waves in matter 9.4 absorption and dispersion 9.5 guided waves 10 potentials and fields 10.1 the potential formulation 10.2 continuous distributions 10.3 point charges 11 radiation 11.1 dipole radiation 11.2 point charges 12 eiectrodynamics and relativity 12.1 the special theory of relativity 12.2 relativistic mechanics 12.3 relativistic electrodynamics a vector calculus in curvilinear coordinates a.1 introduction a.2 notation a.3 gradient a.4 divergence a.5 curl a.6 laplacian b the helmholtz theorem c units inde