Electromagnetic Theory

Preface
Contents
Notation
1 Electric charges and currents
1. Charge conservation
2. Charge conservation in four dimensions
2 The calculus of antisymmetric tensors
3. Transformations and tensors
4. Integral theorems and dual tensors
3 The first pair of Maxwell's equations
5. Invariance of the principle of charge conservation
6. The charge-current potential
7. The jump conditions
4 The second pair of Maxwell's equations
8. The electromagnetic field
9. Invariance of the second principle
10. The electromagnetic potential
5 The aether relations and the theory of relativity
11. The Maxwell-Lorentz aether relations
12. Lorentz transformations
13. Maxwell's equations in an aether frame
6 Charged particles
14. Multipole moments
15. The Lorentz force
16. Non-relativistic motion of a charged particle
17. Lagrangian and Hamiltonian formulation
18. Relativistic motion of charged particles
19. The relativistic Kepler problem
7 Polarization and magnetization
20. Material response functions
21. The partial potentials: Maxwell's equations in media
22. The dragging of light by a dielectric
23. Relativistic response functions
24. The initial value problem for Maxwell's equations
25. The flux derivative
8 Electrostatics
26. Electrostatics of conductors
27. Green's identities
28. Capacitors
29. Expansions in series of harmonic functions
30. The method of images
31. The complex potential method
9 Linear dielectrics
32. Electrostatics of dielectrics
33. Thomson's theorem
34. Wilson's experiment
10 Steady currents in linearly conducting materials
35. Linearly conducting materials
36. Resistance
37. Electromotive force
38. The Faraday disc
39. The skin effect
11 Linear magnets
40. Magnetic effects of currents
41. The scalar magnetic potential
42. Inductance
43. Paramagnetic and diamagnetic materials
12 Radiation
44. The wave equations
45. Radiation from finite systems
46. Radiation from a moving point charge
13 Electromagnetic wave propagation
47. Monochromatic plane waves
48. Reflection and refraction
49. Conditions at metallic surfaces
50. Waveguides
14 A review of continuum mechanics
51. The laws of continuum mechanics
52. The laws of thermodynamics
53. The method of Coleman and Noll
15 The fusion of electromagnetism with mechanics and thermodynamics
54. Continuum mechanics and electromagnetism
55. The electromagnetic entropy inequality
56. Perfect electromagnetic fluids
57. The condition current and the heat flux
58. Elastic materials
59. Viscous fluids
16 Magnetohydrodynamics
60. Purely conducting fluids
61. The magnetohydrodynamic approximation
62. Hartmann's flow
63. Magnetic diffusion and flux freezing
64. Magnetohydrodynamic equilibrium
65. Magnetohydrodynamic waves
17 Electric materials
66. Forces on linear dielectrics
67. Pyroelectricity
68. Piezoelectricity
69. Ferroelectricity
18 Magnetic materials
70. Forces on linear magnets; isentropic cooling
71. Ferromagnetism
72. Superconductivity
A Gaussian units
B Solutions to the exercises
Bibliographical notes
Index