Introduction To Electrodynamics – David J. Griffiths – 3rd Edition

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.