Machine generated contents note: Preface. -- Chapter 1. Introduction. -- Chapter 2. Distributions and derivatives in the sense of distribution. -- 2.1 Functions and distributions. -- 2.2 Test functions. The space C. -- 2.3 Convergence in C. -- 2.4 Distributions. -- 2.5 Some simple operations on distributions. -- 2.6 Order of a distribution. -- 2.7 The support of a distribution. -- 2.8 Some generalizations. -- Chapter 3. Maxwell equations in the sense of distributions. -- 3.1 Maxwell equations reduced into the vacuum. -- 3.2 Universal boundary conditions and compatibility relations. -- 3.3 The concept of material sheet. -- 3.4 The case of monochromatic fields. -- Chapter 4. Boundary conditions on material sheets at rest. -- 4.1 Universal boundary conditions and compatibility relations. -- 4.2 Some general results. -- 4.3 Some particular cases. -- Chapter 5. Boundary conditions on a moving material sheet. -- 5.1 Boundary conditions on plane which moves in a direction normal to itself. -- 5.2 Derivation of the boundary conditions by the Special Theory of Relativity when the motion is uniform. -- 5.3 Boundary conditions on the interface of two simple media. -- Chapter 6. Edge singularities on material wedges bounded by plane boundaries. -- 6.1 Introduction. -- 6.2 Singularities at the edges of material wedges. -- 6.3 The wedge with penetrable boundaries. -- 6.4 The wedge with impenetrable boundaries. -- 6.5 Examples. Application to half-planes. -- 6.6 Edge-conditions for the induced surface currents. -- Chapter 7. Tip singularities at the apex of a material cone. -- 7.1 Introduction. -- 7.2 Algebraic singularities of an H-type field. -- 7.3 Algebraic singularities of an E-type field. -- 7.4 The case of impenetrable cones. -- 7.5 Confluence and logarithmic singularities. -- 7.6 Application to widely used actual boundary conditions. -- 7.7 Numerical solutions of the transcendental equations satisfied by the minimal exponent. -- Chapter 8. Temporal discontinuities. -- 8.1 Universal initial conditions. -- 8.2 Linear mediums in the generalized sense. -- 8.3 An illustrative example. -- References. -- Index.