Electromagnetism
- Origins and Concepts
- Introduction
- Magnetism
- Gravitation
- Faraday, Thomson, and Maxwell
- Gravitation a Vector Field
- Charges and Electric Fields
- Priestly’s Speculation
- Voltaic Cell
- Currents and Magnetic Fields
- Oersted
- Ampere
- Electrical current
- Mathematical Background
- Introduction
- Vectors
- The Vector Space
- Representation
- Scalar Product
- Vector Product
- Multivariate Functions
- Differentials
- Cylindrical Coordinates
- Spherical Coordinates
- Analytic Functions
- Taylor Series
- Analyticity
- Vector Calculus
- Field Quantities
- The Gradient
- The Divergence
- The Curl
- The Laplacian Operator
- 2.6 Differential Equations
- Helmholtz’ Theorem
- The Del Operator
- Dirac Delta Function
- Electrostatics
- The Scalar Potential
- Magnetostatics
- Applications of Magnetostatics
- ParticleMotion
- Green’s Functions
- Laplace’s Equation
- Time Dependence
- Electromagnetic Waves
- Energy and Momentum
- Introduction
- Transport Theorem
- Electromagnetic Field Energy
- Electromagnetic Field Momentum
- Special Relativity
- Radiation
- Fields in Matter
- Waves in Dispersive Media
- Appendix A Vector Calculus
- Appendix B Dirac Delta Sequences
- Appendix C Divergence and Curl of B
- Appendix D Green’s Theorem
- Appendix E Laplace’s Equation
- Appendix F Poisson’s Equation.
- Appendix G Helmholtz’ Equation.
- Appendix H Legendre’s Equation
- Appendix I Jacobians
- Appendix J Dispersion