| Preface | p. v |
| The Mathematics of Electricity and Magnetism | p. 1 |
| Scalars, Vectors and Vector Addition | p. 1 |
| Vector Multiplication | p. 4 |
| Fields | p. 10 |
| Vector Calculus: The Gradient | p. 11 |
| The Divergence of a Vector | p. 16 |
| The Divergence Theorem | p. 17 |
| The Curl of a Vector | p. 21 |
| Stokes's Theorem | p. 22 |
| Derivatives of Scalar and Vector Products | p. 25 |
| Higher Derivatives | p. 25 |
| Curvilinear Coordinates | p. 27 |
| Tensors and Matrices | p. 35 |
| Complex Numbers | p. 44 |
| Vector Identities | p. 47 |
| References | p. 49 |
| Electrostatics | p. 50 |
| Coulomb's Law | p. 51 |
| The Principle of Superposition; Charge Distribution | p. 54 |
| The Electric Field | p. 57 |
| Calculation of the Electric Field | p. 59 |
| Conductors and Insulators | p. 66 |
| Gauss's Law | p. 68 |
| The Electric Potential | p. 80 |
| Calculation of the Electric Potential | p. 85 |
| The Continuity Equations for E and [Phi] | p. 91 |
| Capacitors | p. 93 |
| The Equations of Laplace and Poisson: The Second Derivatives of the Potential Field | p. 96 |
| The Dirac [delta]-Function | p. 96 |
| Electrostatic Energy | p. 99 |
| The Dirac [delta]-Function | p. 105 |
| Supplementary Problems | p. 108 |
| References | p. 110 |
| Boundary Value Problems: The Solutions To Laplace's Equation and Poisson's Equation | p. 111 |
| Boundary Conditions | p. 111 |
| The Superposition Theorem | p. 112 |
| The Uniqueness Theorem | p. 112 |
| Solution to Laplace's Equation in One or Two Dimensions: Cartesian Coordinates | p. 113 |
| Laplace's Equation in One and Two Dimensions; Cylindrical Symmetry | p. 119 |
| Laplace's Equation in One or Two Dimensions; Spherical Coordinates | p. 130 |
| The Solution to Laplace's Equation in Three Dimensions | p. 140 |
| Poisson's Equation | p. 144 |
| The Method of Images | p. 146 |
| Green's Functions; The General Solution of Poisson's Equation | p. 153 |
| Bessel Functions | p. 167 |
| Regular Bessel Functions | p. 167 |
| The Generating Function for the Bessel Functions | p. 176 |
| Modified Bessel Functions | p. 177 |
| Legendre Polynomials | p. 180 |
| The Legendre Polynomials | p. 180 |
| The Generating Function for the Legendre Polynomials | p. 187 |
| The Associated Legendre Polynomials | p. 188 |
| Supplementary Problems | p. 192 |
| References | p. 195 |
| Current and Conduction | p. 197 |
| Current and Current Density | p. 197 |
| Conductivity, Resistance and Ohms Law | p. 199 |
| Microscopic Description of Conductivity | p. 204 |
| The Band Theory of Solids | p. 209 |
| Conductivity in Metals | p. 212 |
| Fermi-Dirac Statistics; Conductivity in Semiconductors and Insulators | p. 214 |
| Doped Semiconductors | p. 216 |
| Conductivity in a P-N Junction | p. 219 |
| Properties of the P-N Junction | p. 220 |
| Conductivity in an Electron Gas | p. 223 |
| Superconductivity | p. 226 |
| The Josephson Effect | p. 227 |
| References | p. 230 |
| The Magnetic Field of Steady Currents | p. 231 |
| The Biot-Savart Law | p. 232 |
| The Divergence of B; Magnetic Flux | p. 244 |
| The Curl of B | p. 246 |
| Ampere's Law | p. 248 |
| The Magnetic Scalar Potential | p. 259 |
| The Magnetic Vector Potential | p. 263 |
| The Lorentz Force Law | p. 277 |
| The Hall Effect | p. 286 |
| Elliptic Integrals | p. 290 |
| References | p. 294 |
| The Electric Field in Matter | p. 295 |
| The Dipole Field | p. 296 |
| Energy, Force and Torque on a Dipole | p. 300 |
| The Electric Field Outside a Dielectric | p. 301 |
| The Electric Field Inside a Dielectric | p. 303 |
| Gauss's Law in a Dielectric; The Displacement Vector | p. 306 |
| Electric Susceptibility and the Dielectric Constant | p. 308 |
| Dielectric Materials | p. 314 |
| Derivation of Susceptibility from the Molecular Polarization | p. 317 |
| Boundary Conditions for Dielectric Surfaces | p. 319 |
| Electrostatic Energy in Dielectrics | p. 332 |
| Interaction of the Electric Field with a Plasma | p. 333 |
| The Multipole Expansion of a Charge Distribution | p. 335 |
| Expansion in Cartesian Coordinates | p. 339 |
| Expansion in Spherical Harmonics | p. 344 |
| Supplementary Problems | p. 348 |
| References | p. 350 |
| Magnetic Fields in Matter | p. 351 |
| Multipole Expansion of the Magnetic Field | p. 351 |
| Magnetic Fields in Magnetic Materials | p. 354 |
| Magnetic Fields Inside Matter | p. 357 |
| Boundary Conditions on the Magnetic Field Vectors | p. 362 |
| Boundary Value Problems of the Magnetic Field | p. 364 |
| The Nature of Magnetic Materials | p. 367 |
| Ferromagnetism | p. 373 |
| Other Magnetic Materials | p. 377 |
| The Temperature Dependence of Paramagnetism | p. 378 |
| Superconductivity | p. 381 |
| References | p. 386 |
| Time Dependent Fields; Faraday's Law | p. 387 |
| Faraday's Law | p. 387 |
| The Electromotive Force | p. 389 |
| Lenz's Law | p. 391 |
| Motional Electromotive Force | p. 392 |
| General Electromotive Force | p. 393 |
| The Differential Faraday's Law | p. 398 |
| The Time Dependent Field Potentials | p. 405 |
| Inductance | p. 405 |
| Self-Inductance | p. 410 |
| The Energy of the Magnetic Field | p. 414 |
| References | p. 423 |
| Maxwell's Equations | p. 424 |
| The Displacement Current | p. 425 |
| The Wave Equation | p. 430 |
| The Time-Dependent Potential Function | p. 434 |
| Poynting's Theorem | p. 437 |
| Field Momentum | p. 442 |
| Solution of the Wave Equation | p. 446 |
| Description of Waves in Complex Numbers | p. 448 |
| Parameters of the Wave Equation | p. 450 |
| Electromagnetic Waves | p. 453 |
| Polarization | p. 456 |
| General Description of a Plane Wave | p. 459 |
| Energy of a Wave | p. 461 |
| Spherical Waves | p. 465 |
| Units | p. 473 |
| Base Units | p. 474 |
| SI Prefixes | p. 476 |
| Derived Units | p. 477 |
| Measurement Standards | p. 478 |
| Units in Electricity and Magnetism | p. 480 |
| References | p. 489 |
| Applications of Maxwell's Equations: the Optics of Plane Waves | p. 490 |
| The Laws of Reflection and Refraction | p. 490 |
| The Amplitudes of the Reflected and Transmitted Waves: Fresnel's Equations | p. 496 |
| Total Internal Reflection | p. 506 |
| Interaction of Plane Electromagnetic Waves with Conductors | p. 513 |
| Interference | p. 527 |
| Diffraction | p. 540 |
| Optical Dispersion | p. 555 |
| Supplementary Problems | p. 565 |
| References | p. 566 |
| Application of Maxwell's Equations: Guided Waves | p. 567 |
| The Rectangular Metal Waveguide | p. 567 |
| The Circular Cylindrical Waveguide | p. 587 |
| The Coaxial Waveguide | p. 597 |
| Cavity Resonators | p. 600 |
| Attenuation in Waveguides | p. 604 |
| Dielectric Waveguides | p. 609 |
| References | p. 622 |
| Application of Maxwell's Equations: Radiation | p. 623 |
| Solution of the Inhomogeneous Wave Equation | p. 623 |
| Multipole Expansion of a Time Dependent Charge Distribution | p. 626 |
| The Field of an Electric Dipole | p. 629 |
| Antenna Radiation--The Center Fed Antenna | p. 641 |
| The Half-Wave Antenna | p. 645 |
| Antenna Arrays | p. 648 |
| The Hertz Vector Potentials | p. 650 |
| The Radiation Field of Moving Particles | p. 654 |
| Radiation Reaction | p. 671 |
| Fourier Integrals: General Solution to the Inhomogeneous Wave Equation | p. 674 |
| References | p. 680 |
| Relativity | p. 681 |
| The Galilean Transformation | p. 681 |
| The Electromagnetic Test of Relativity | p. 683 |
| The Trouton-Noble Experiment | p. 685 |
| The Michelson Morley Experiment | p. 687 |
| The Postulates of Einstein | p. 691 |
| The Lorentz Transformation | p. 698 |
| The Effect of the Lorentz Transformation | p. 704 |
| The Tensor Formulation of Relativity | p. 711 |
| The Transformation of Velocity and Momentum | p. 714 |
| The Covariant Formulation of the Electromagnetic Field | p. 719 |
| The Maxwell Stress Tensor | p. 725 |
| The Field of a Uniformly Moving Charge | p. 728 |
| The Relativistic Derivation of the Radiation Fields | p. 732 |
| The Relativistic Motion of Charged Particles in an Electromagnetic Field; The Relativistic Lorentz Force Law | p. 734 |
| References | p. 738 |
| Index | p. 739 |
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