Electromagnetism is a branch of physics which involves the study of the electromagnetic force, a type of physical interaction that occurs between electrically charged particles.

- Vector algebra.
- Vector operations.
- Vector algebra.
- Component form.
- Triple products.
- Position.
- Displacement and separation vectors.
- How vector transform.
- Differential calculus.
- Ordinary derivatives.
- Gradient.
- The operator.
- The divergence.
- Product rules.
- Second derivatives.
- Integral calculus.
- Line, surface and volume integrals.
- The fundamental theorem of calculus.
- The fundamental theorem for divergences.
- The fundamental theorem for curls.
- Integration by parts.
- Curvilinear coordinates.
- Spherical polar coordinates.
- Cylindrical coordinates.
- The Dirac delta function.
- The divergence of r/r
^{2.} - The one dimensional Dirac delta function.
- The three dimensional delta function.
- The Theory of vector fields:
- The Helmholtz theorem.
- Potentials.
- Electrostatics.
- The electric field.
- Introduction, Coulomb’s law.
- The electric field.
- Continuous charged distributions.
- Divergence and curl of electrostatic fields.
- Field lines.
- Flux and Gauss’s law.
- The divergence of E.
- Application of Gauss’s law.
- The curl of E.
- Electric potential.
- Introduction to potential.
- Comments on potential.
- Poisson’s and Laplace’s equations.
- The potential of a localized charged distribution.
- Electrostatic boundary conditions.
- Work and energy in electrostatics.
- The work done to move a charge.
- The energy of a point charge distribution.
- Comments on electrostatic energy.
- Conductors: Basic properties.
- induced charges.
- Surface charge and force on a conductor.
- Capacitors.

- Introduction to electrodynamicsby Griffiths, David J.

Published by : Prentice-Hall

ISBN: 0134813677

- Integral Transforms and Volterra Functionsby Apelblat, Alexander

Publisher: Nova Science Publishers, Inc.

ISBN: 9781616688998 - Laplace Transformby Bellman, Richard. Roth, Robert

Publisher: WSPC

ISBN: 9789814415156 - Foundations of Applied Electrodynamicsby Geyi, Wen

Publisher: Wiley

ISBN: 9780470661352 - Electrodynamics of Metamaterialsby Sarychev, Andrey K.

Shalaev, Vladimir M.

Publisher: WSPC

ISBN: 9789812790996 - Foundations of Classical and Quantum Electrodynamicsby Toptygin, Igor N.

Wiley-VCH

ISBN: 9783527677498 - Optical Microcavitiesby Vahala, Kerry

Publisher: World Scientific

ISBN: 9789812565730

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- Special techniques.
- Laplace’s equation in one dimension.
- in two dimensions.
- and in three dimensions.
- Boundary conditions and Uniqueness theorems.
- Conductors and seconds uniqueness theorem.
- The methods of image.
- The classic Image problem.
- Induced surface charge.
- Force and energy.
- Other image problems.
- Separations of variables.
- Cartesian coordinates.
- Spherical coordinates.
- Multipole expansion.
- Approximate potential at large distance.
- The monopole and dipole terms.
- Origin of coordinates in multipole expansions.
- The electric field of a dipole.
- Electric Fields in Matter.
- Polarization.
- Dielectric.
- Induced dipoles.
- Alignment of polar molecules.
- Polarization.
- The field of a polarized object.
- Bound charges.
- Physical interpretation of bound charges.
- The field inside a dielectric.
- The electric displacement.
- Gauss’s law in the presence of dielectrics.
- A deceptive parallel.
- Boundary conditions.
- Linear dielectrics.
- Susceptibility.
- Permittivity.
- Dielectric constant.
- Boundary value problems with linear dielectrics.
- Energy in dielectric systems.
- Forces on dielectrics.
- Magnetostatics.
- Lorentz force law.
- Magnetic fields.
- Magnetic forces.
- Currents.
- Biot-Savart law.
- Steady current.
- The magnetic field of a steady current.
- The divergence and curl of B.
- Straight-line currents.
- Applications of Amplere’s law.
- Comparison of magnetostatics and electrostatics.
- Magnetic vector potential.
- The vector potential.
- Magnetostatic boundary conditions.
- Multipole expansion of the vector potential.