Classical Electrodynamics

Introduction
	History
		Ancient world and middle ages
		Modern times and age of enlightenment
		Romantic era till late nineteenth century
		Twentieth century
	The apparatus of electrodynamics
		Basic quantities
		Interaction of matter and fields
		Maxwell equations: generalities
		Charges and currents
		Integral form of the Maxwell equations
The static limit
	Decoupling of the Maxwell equations in the static limit
	Electrostatics
		Formulation of the problem
		Boundary value problem I: infinite space
		Poisson equation in non–cartesian coordinates
		Spherical multipole Expansion
		Boundary value problem II: finite space
	Magnetostatics
		Vector potential and solution of Maxwell equations
		Magnetic multipole expansion
		Magnetic forces
Electrodynamics
	Magnetic field energy
	Electromagnetic gauge field
	Electromagnetic waves in vacuum
		Solution of the homogeneous wave equations
		Polarization
	Green function of the wave equation
		Computation of the Green function
		Physical meaning of the Green function
		Electromagnetic gauge field and Green functions
	Field energy and momentum
		Field energy
		Field momentum
		Energy and momentum of plane electromagnetic waves
	Electromagnetic radiation
Macroscopic electrodynamics
	Macroscopic Maxwell equations
		Averaged sources
	Applications of macroscopic electrodynamics
		Electrostatics in the presence of matter
		Magnetostatics in the presence of matter
	Wave propagation in media
		Model dielectric function
		Plane waves in matter
		Dispersion
		Electric conductivity
Relativistic invariance
	Introduction
		Galilei invariance and its limitations
		Einsteins postulates
		First consequences
	The mathematics of special relativity I: Lorentz group
		Background
	Aspects of relativistic dynamics
		Proper time
		Relativistic mechanics
	Mathematics of special relativity II: Co– and Contravariance
		Covariant and Contravariant vectors
		The relativistic covariance of electrodynamics
Appendix
	Vector calculus in curvilinear coordinates
		Curvelinear orthogonal systems
		Vector differential operations in curvelinear coordinates