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1. Vector Analysis. Vector Algebra. Differential Calculus. Integral Calculus. Curvilinear Coordinates. The Dirac Delta Function. The Theory of Vector Fields. 2. Electrostatics. The Electrostatic Field. Divergence and Curl of Electrostatic Fields. Electric Potential. Work and Energy in Electrostatics. Conductors. 3. Special Techniques. Laplace's Equation and Uniqueness Theorems. The Method of Images. Separation of Variables. Multipole Expansion. 4. Electrostatic Fields in Matter. Polarization. The Field of a Polarized Object. The Electric Displacement. Linear Dielectrics. 5. Magnetostatics. The Lorentz Force Law. The Biot-Savart Law. The Divergence and Curl of B. Magnetic Vector Potential. 6. Magnetic Fields in Matter. Magnetization. The Field of a Magnetized Object. The Auxiliary Field H. Linear and Nonlinear Media. 7. Electrodynamics. Electromotive Force. Electromagnetic Induction. Maxwell's Equations. 8. Conservation Laws. Charge and Energy. Momentum. 9. Electromagnetic Waves. Waves in One Dimension. Electromagnetic Waves in Vacuum. Electromagnetic Waves in Matter. Absorption and Dispersion. Guided Waves. 10. Potentials and Fields. The Potential Formulation. Continuous Distributions. Point Charges. 11. Radiation. Dipole Radiation. Point Charges. 12. Electrodynamics and Relativity. The Special Theory of Relativity. Relativistic Mechanics. Relativistic Electrodynamics. Appendix A: Vector Calculus in Curvilinear Coordinates. Appendix B: The Helmholtz Theorem. Appendix C: Units. Index.
