preface.

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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

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