1.2 Vector differential operators
1.3 Integral theorems
1.4 The Dirac delta-function
2.2. Another equation of electrostatics and the scalar potential
2.3. Surface distributions of charges and dipoles. Discontinuities of the electric field and the potential
2.4. Poisson and Laplace equation
2.5. Green's Theorem. Uniqueness of electrostatic boundary-value problem and the formal solution with Green Function
2.6. Electrostatic potential energy and energy density
3.2. Green function for the sphere. General solution for the potential
3.3. Orthogonal functions and expansion
3.4. Laplace equation in rectangular coordinates. Separation of variables
3.5. Laplace equation in polar coordinates
3.6. Laplace equation in spherical coordinates
4.2. Polarisation and electric displacement
4.3. Boundary-value problems with dielectrics
4.4. Electrostatic energy
5.2. Biot and Savart Law
5.3. Differential equations of magnetostatics and Ampere's Law
5.4. Vector potential
5.5. Magnetic field of a localized current distribution. Magnetic moment
5.6. Force on a localized current distribution in an external magnetic induction
6.2. Methods of solving boundary-value problems in magnetostatics
7.2. Energy in the magnetic field
8.2. Vector and scalar electromagnetic potentials
8.3. Derivation of macroscopic Maxwell equations
9.2. SI and Gaussian systems of electromagnetic units
10.2. Magnetostatics
A.2. Some special orthogonal coordinates
A.3. Vector operations in orthogonal coordinates
A.4. Some explicit forms of vector operations
A.5. Relation between unit base vectors and their time derivatives
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Last update: April 5, 2017