| Notation |
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xv | |
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Electric charges and currents |
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1 | (10) |
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1 | (4) |
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Charge conservation in four dimensions |
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5 | (6) |
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The calculus of antisymmetric tensors |
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11 | (10) |
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Transformations and tensors |
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11 | (5) |
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Integral theorems and dual tensors |
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16 | (5) |
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The first pair of Maxwell's equations |
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21 | (10) |
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Invariance of the principle of charge conservation |
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21 | (2) |
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The charge-current potential |
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23 | (5) |
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28 | (3) |
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The second pair of Maxwell's equations |
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31 | (11) |
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The electromagnetic field |
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31 | (3) |
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Invariance of the second principle |
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34 | (3) |
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The electromagnetic potential |
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37 | (5) |
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The aether relations and the theory of relativity |
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42 | (13) |
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The Maxwell-Lorentz aether relations |
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42 | (4) |
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46 | (6) |
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Maxwell's equations in an aether frame |
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52 | (3) |
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55 | (21) |
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55 | (4) |
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59 | (3) |
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Non-relativistic motion of a charged particle |
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62 | (4) |
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Lagrangian and Hamiltonian formulation |
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66 | (4) |
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Relativistic motion of charged particles |
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70 | (3) |
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The relativistic Kepler problem |
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73 | (3) |
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Polarization and magnetization |
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76 | (16) |
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Material response functions |
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76 | (4) |
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The partial potentials: Maxwell's equations in media |
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80 | (2) |
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The dragging of light by a dielectric |
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82 | (2) |
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Relativistic response functions |
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84 | (2) |
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The initial value problem for Maxwell's equations |
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86 | (3) |
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89 | (3) |
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92 | (19) |
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Electrostatics of conductors |
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92 | (4) |
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96 | (3) |
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99 | (2) |
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Expansions in series of harmonic functions |
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101 | (3) |
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104 | (2) |
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The complex potential method |
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106 | (5) |
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111 | (14) |
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Electrostatics of dielectrics |
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111 | (4) |
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115 | (4) |
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119 | (6) |
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Steady currents in linearly conducting materials |
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125 | (17) |
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Linearly conducting materials |
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125 | (3) |
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128 | (5) |
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133 | (2) |
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135 | (4) |
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139 | (3) |
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142 | (18) |
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Magnetic effects of currents |
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142 | (5) |
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The scalar magnetic potential |
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147 | (4) |
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151 | (3) |
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Paramagnetic and diamagnetic materials |
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154 | (6) |
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160 | (19) |
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160 | (8) |
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Radiation from finite systems |
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168 | (7) |
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Radiation from a moving point charge |
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175 | (4) |
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Electromagnetic wave propagation |
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179 | (20) |
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Monochromatic plane waves |
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179 | (5) |
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Reflection and refraction |
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184 | (6) |
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Conditions at metallic surfaces |
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190 | (2) |
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192 | (7) |
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A review of continuum mechanics |
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199 | (17) |
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The laws of continuum mechanics |
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200 | (5) |
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The laws of thermodynamics |
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205 | (2) |
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The method of Coleman and Noll |
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207 | (9) |
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The fusion of electromagnetism with mechanics and thermodynamics |
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216 | (17) |
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Continuum mechanics and electromagnetism |
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216 | (3) |
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The electromagnetic entropy inequality |
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219 | (3) |
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Perfect electromagnetic fluids |
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222 | (5) |
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The condition current and the heat flux |
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227 | (2) |
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229 | (2) |
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231 | (2) |
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233 | (12) |
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233 | (1) |
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The magnetohydrodynamic approximation |
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234 | (2) |
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236 | (2) |
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Magnetic diffusion and flux freezing |
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238 | (1) |
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Magnetohydrodynamic equilibrium |
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239 | (2) |
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Magnetohydrodynamic waves |
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241 | (4) |
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245 | (14) |
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Forces on linear dielectrics |
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245 | (4) |
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249 | (1) |
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250 | (2) |
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252 | (7) |
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259 | (16) |
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Forces on linear magnets; isentropic cooling |
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259 | (4) |
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263 | (5) |
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268 | (7) |
| Appendix A: Gaussian units |
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275 | (6) |
| Appendix B: Solutions to the exercises |
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281 | (60) |
| Bibliographical notes |
|
341 | (2) |
| Index |
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343 | |
