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| Acknowledgments | |
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| Introduction | |
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| Foundations of Maxwell's Equations | |
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| Historical Overview | |
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| Role of Electromagnetic Field Theory | |
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| Electromagnetic Field Quantities | |
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| Units and Universal Constants | |
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| Precision of Measured Quantities | |
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| Introduction to Complex Variables | |
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| Phasor Notation | |
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| Quaternions | |
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| Original Form of Maxwell's Equations | |
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| Endnotes | |
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| Vector Analysis | |
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| Introduction | |
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| Addition and Subtraction | |
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| Multiplication | |
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| Triple Products | |
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| Coordinate Systems | |
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| Coordinate Transformations | |
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| Vector Differentiation | |
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| Divergence Theorem | |
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| Stokes's Theorem | |
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| Laplacian of a Vector Field | |
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| Endnotes | |
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| Static Electric Fields | |
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| Introduction | |
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| Properties of Electrostatic Fields | |
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| Gauss's Law | |
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| Conservation Law | |
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| Electric Potential | |
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| Electric Field for a System of Charges | |
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| Electric Potential for a System of Charges | |
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| Electric Field for a Continuous Distribution | |
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| Conductor in a Static Electric Field | |
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| Capacitance | |
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| Dielectrics | |
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| Electric Flux Density | |
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| Dielectric Boundary Conditions | |
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| Electrostatic Energy | |
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| Electrostatic Field in a Dielectric | |
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| Endnotes | |
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| Solution of Electrostatic Problems | |
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| Introduction | |
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| Poisson's and Laplace's Equations | |
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| Solutions to Poisson's and Laplace's Equations | |
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| Green's Functions | |
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| Uniqueness of the Electrostatic Solution | |
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| Method of Images | |
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| Steady Electric Currents | |
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| Introduction | |
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| Current Density and Ohm's Law | |
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| Relation to Circuit Parameters | |
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| Superconductivity | |
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| Free Electron Gas Theory | |
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| Band Theory | |
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| Equation of Continuity | |
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| Microscopic View of Ohm's Law | |
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| Power Dissipation and Joule's Law | |
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| Boundary Condition for Current Density | |
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| Resistance/Capacitance Calculations | |
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| Endnote | |
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| Static Magnetic Fields | |
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| Introduction | |
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| Magnetic Force | |
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| Magnetostatics in Free Space | |
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| Magnetic Vector Potential | |
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| The Biot-Savart Law | |
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| Historical Conclusions | |
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| Atomic Magnetism | |
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| Magnetization | |
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| Equivalent Surface Current Density | |
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| Equivalent Magnetic Monopole Charge Density | |
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| Magnetic Field Intensity and Permeability | |
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| Ferromagnetism | |
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| Boundary Conditions for Magnetic Fields | |
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| Inductance and Inductors | |
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| Torque and Energy | |
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| Endnotes | |
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| Time-Varying Fields | |
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| Introduction | |
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| Faraday's Law of Induction | |
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| E&M Equations before Maxwell | |
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| Maxwell's Displacement Current | |
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| Integral Form of Maxwell's Equations | |
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| Magnetic Vector Potential | |
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| Solution of the Time-Dependent Inhomogeneous Potential Wave Equations | |
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| Electric and Magnetic Field Equations for Source-Free Problems | |
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| Solutions for the Homogeneous Wave Equation | |
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| Particular Solution for the Inhomogeneous Wave Equation | |
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| Time-Harmonic Fields | |
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| Electromagnetic Spectrum | |
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| Electromagnetic Boundary Conditions | |
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| Particular Solution for the Wave Equation with Inhomogeneous Boundary Conditions | |
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| Memristors | |
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| Electric Vector Potential | |
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| Endnotes | |
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| Measurement Errors | |
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| Graphics and Conformal Mapping | |
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| Vectors, Matrices, Orthogonal Functions | |
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| Bibliography | |
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| Index | |