Self-contained treatment examines operational definition of charge and current; specification of arbitrary distributions of charge and current; definition of electromagnetic field and effect on general charge distributions; electric field produced by static charges; magnetic induction field produced by steady currents; Maxwell's equations in vacuum; much more. 1981 edition.
Unabridged republication of the second edition originally published by Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1981.

Table of Contents for The Theory of the Electromagnetic Field

Preface
Introduction
0 Mathematical and Physical Preliminaries
0-1 "Scalars, Vectors, and Vector Algebra"
0-2 The Representation of Fields
0-3 Static Force Fields
0-4 Coordinate-Free Definitions for the Gradient and the Curl
1 Charge and Current: From Qualitative Recognition to Quantitative Measurement
1-1 The Phenomenon of Electric Charge
1-2 The Interaction of Point Charges
1-3 The Phenomenon of Current
1-4 The Interaction of Parallel Currents
1-5 Current as Charge in Motion
1-6 Units in Electricity and Magnetism
2 Charge and Current: The Specification of Arbitrary Distributions
2-1 Charge Density
2-2 Current Density
2-3 Mathematical Digression I: Strokes' Theorem and The Divergence Theorem
2-4 The Equation of Continuity
2-5 Mathematical Digression II: Several Operators Involving ?
3 The Electromagnetic Field: Its Definition and Its Effect on General Charge Distributions
3-1 Forces on Point Charges: A Definition of the Electromagnetic Field
3-2 Trajectories of Particles in Prescribed Fields
3-3 Forces and Torques on General Distributions in Prescribed Fields
4 The Electric Field Produced by Static Charges
4-1 Coulomb's Law and the Electrostatic Field of Given Sources
4-2 Gauss's Law
4-3 The Restricted Faraday Law
4-4 The Electrostatic Potential
4-5 Energy in the Electrostatic Field
4-6 The Multipole Expansion of the Electrostatic Potential
5 The Magnetic Induction Field Produced by Steady Currents
5-1 The Law of Biot-Savart
5-2 The Magnetic Flux Law
5-3 Ampere's Circutal Law
5-4 The Magnetic Vector Potential
5-5 Energy in the Static Magnetic Induction Field
5-6 The Multipole Expansion of the Magnetic Vector Potential
6 The Electromagnetic Field Produced by Time-Dependent Charge Distributions: Maxwell's Equations in Vacuum
6-1 Electromagnetic Induction: Faraday's Law
6-2 A Contradiction and its Resolution: Displacement Current
6-3 Maxwell's Equations
6-4 Energy in the Electromagnetic Field
6-5 Momentum in the Electromagnetic Field
6-6 A Reformulation Maxwell's Equations for the Potentials
6-7 Another Reformation: Decoupling the Equations for the Fields
Interlude: A Change of View
7 Plane Electromagnetic Waves in Vacuum
7-1 Elementary Fields Depending on z and t; Plane Electromagnetic Waves
7-2 Energy and Momentum in Plane Waves
7-3 Superposition of Waves of the Same Frequency : Polarization and Interference
7-4 Superposition of Waves of Different Frequencies: Spectral Decomposition
7-5 Plane Waves in Three Dimensions
8 Potential T
8-1 Boundary Conditions
8-2 Superposition and Uniqueness
8-3 One-Dimensional Problems
8-4 Two-Dimensional Problems by Separation of Variables
8-5 Two-Dimensional Problems Using Complex Variables
8-6 The Method of Images
8-7 Numerical Solution of Laplace's Equation
8-8 Solution of Laplace's Equation by Experiment: The Method of Analogy
8-9 Poisson's Equation
9 Properties of Matter I: Conduction
9-1 Macroscopic Description: Conductivity and Ohm's Law
9-2 Microscopic Description: Carrier Mobility and Collision Times
10 Properties of Matter II: Dielectric Polarization
10-1 The Microscopic Description: Electric Polarizability
10-2 The Macroscopic Description: Dielectric Polarization
10-3 The Macroscopic Scalar Potential and Electric Field at a Point Exterior to a Polarized Dielectric
10-4 The Macroscopic Electric Field at a Point Interior to a Polarized Dielectric
10-5 The Basic Equations of Electrostatics when Dielectrics are Present
10-6 Connecting the Microscopic Polarizability with the Macroscopic Dielectric Constant: The Clausius-Mossotti Relation
11 Properties of Matter III: Magnetization
11-1 The Microscopic Description: Magnetic Polarizability
11-2 The Macroscopic Description: Magnetization
11-3 The Macroscopic Vector Potential and Magnetic Induction Field at a Point Exterior to a Magnetized Object; Bound Currents
11-4 An Alternative Approach to the Exterior Field: Equivalent Poles
11-5 The Macroscopic Magnetic Induction Field at a Point Interior to a Magnetized Object
11-6 The Basic Equations of Magnetostatics when Magnetically Responsive Matter is Present
11-7 Connecting the Microscopic Polarizability with the Macroscopic Relative Permeability
11-8 Ferromagnetism
12 Time-Dependent Fields When Matter is Present: Maxwell's Equations Revised
12-1 Maxwell's Equations in Matter
12-2 The Equation of Continuity
12-3 The Energy Theorem
12-4 The Momentum Theorem
12-5 On Which Fields are Basic
12-6 The Potentials
12-7 Boundary Conditions at Discontinuities in the Medium
12-8 Static Potentials
13 Plane Electromagnetic Waves in Linear Matter
13-1 Maxwell's Equations for Monochromatic Fields in Linear Matter
13-2 Boundary Conditions on Monochromatic Fields
13-3 "Plane Monochromatic Waves in Unbounded, Isotropic, Homogeneous, Linear Media"
13-4 Transmission and Reflection at Plane Interfaces
13-5 Wave Guides and Cavity Resonators
13-6 Superposition of Waves of Different Frequency: Dispersion
14 Radiation from Prescribed Sources in Vacuum
14-1 The General Solution of the Inhomogeneous Wave Equation; Retardation
14-2 Radiation from Monochromatic Sources: The Oscillating Electric Dipole
14-3 The Liénard-Wiechert Poten
14-4 The Fields of a Moving Point Charge
14-5 Radiation from Accelerated Point Charges
14-6 The Radiation Reaction
15 Relativistic Formulation of Maxwell's Equations
15-1 A Review of Special Relativity
15-2 Maxwell's Equations in Covariant Form; The Electromagnetic Field Tensor
15-3 Transformation of the Electromagnetic Field
15-4 The Stress-Energy-Momentum Tensor
15-5 A New Viewpoint: The Law of Biot-Savart Revisited
Appendices
"A Linear Equations, Determinants, and Matrices"
A-1 Simultaneous Linear Equations and Determinants
A-2 Matrix Algebra
B Binomial and Taylor Expansions
C Vector Identities and Relationships
D Complex Numbers and Fourier Analysis
D-1 The Algebra of Complex Numbers
D-2 Fourier Series
D-3 Fourier Transforms
E Reference Tables
Answers to Selected Problems
Index

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