Table of Contents of: An Introduction of Classical Electrodynamics,
by J. W. Keohane and J. P. Foy
Preface to the First Edition
Overview: From Newton to Einstein
1.1 Charge Conservation
1.2 Current
1.3 The Continuity Equation
1.4 The Divergence in Curvilinear Coordinates
1.5 Solving The Continuity Equation
2.1 Coulomb’s Law
2.2 The Electric Field
2.3 The Electric Field Surrounding Point Charges
3.1 Work and Energy in Mechanical Systems
3.2 The Gradient in Curvilinear Coordinates
3.3 Energy Continuity
3.4 Energy and Work in DC Circuits
3.5 Electrostatic Potential Energy
3.6 The Coulomb Potential
4.1 Capacitors
4.2 Gauss’s Law
4.3 Classical Models of Dielectrics
5.1 Equations for the Electrostatic Potential
5.2 Vector Second Derivatives
5.3 Multipole Solutions to Laplace’s Equation
5.4 Separation of Variables
5.5 The Method of Images
5.6 The Method of Relaxation
6.1 The Magnetic Field
6.2 Peregrinus’s Principle
6.3 The Field Surrounding Permanent Magnets
7.1 Magnetic Flux and the Vector Potential
7.2 The Curl in Curvilinear Coordinates
7.3 The Vector Potential and Permanent Magnets
8.1 Hans Christian Ørsted’s Discovery
8.2 The Law of Laplace
8.3 Ampère’s Law
8.4 Electromagnets
9.1 Faraday’s Law
9.2 Inductors
9.3 Inductance in Free Space
9.4 Maxwell’s Equations in Potential Form
10.1 The Hall Effect
10.2 The Lorentz Force
10.3 The Discovery of the Electron
10.4 The Elementary Charge
11.1 Galilean Relativity
11.2 Breakdown of Galilean Relativity
11.3 Motional EMF
11.4 The Law of Biot and Savart
12.1 Turbulence and the Reynolds Number
12.2 Magnetic Fields in Plasmas
12.3 The Meissner Effect
12.4 Acceleration Theory
12.5 Magnetic Levitation
12.6 Type II Superconductors
13.1 RLC Circuits
13.2 Continuous Transmission Lines
13.3 Sinusoidally Driven Circuits
14.1 Maxwell’s Field Equations
14.2 Light in a Linear Medium
14.3 The Refraction of Light
14.4 Fresnel’s Theory of Light
14.5 Reflection off of Good Conductors
14.6 The Propagation of Light in a Conductor
15.1 The Wave Equation in Free Space
15.2 The Inverse Square Law
15.3 Conserved Quantities in Plane Waves
15.4 Measuring Light with a Photometer
16.1 Spherical Waves
16.2 Hertzian Dipole Radiation
16.3 Antenna Theory
16.4 Radiation from Point Charges
17.1 Relativistic Kinematics
17.2 Relativistic Electrodynamics
17.3 The Electromagnetic Field Tensor
17.4 Radiation from Relativistic Point Charges
18.1 Einstein and the Photoelectric Effect
18.2 Thermal Radiation and the Hydrogen Atom
18.3 Does the Photon Exist?
18.4 Matter Waves
18.5 The New Electrodynamics
Appendix D Electrodynamics in Gaussian Units
Appendix H Biographical Index