1. Basic Problems. - 1. Statement of the Electrostatic Problems for Perfect Conductors. - 2. Statement of the Basic Problem for Dielectric Bodies. - 3. Reduction of the Basic Problems to Fredholm's Integral Equations of the Second Kind. - 4. Reduction of the Static Problems to Fredholm's Integral Equations of the First Kind. - 2. Iterative Processes6 for Solving Fredholm's Integral Equations for the Static Problems. - 1. An Iterative Process for Solving the Problem of Equilibrium Charge Distribution and Charge Distribution on a Conductor Placed in an Exterior Static Field. - 2. An Iterative Process for Solving the Problem of Dielectric Bodies in an Exterior Static Field. - 3. A Stable Iterative Process for Finding the Equilibrium Charge Distribution. - 4. An Iterative Process for Calculating the Equilibrium Charge Distribution on the Surface of a Screen. - 3. Calculating Electric Capacitance. - 1. Capacitance of Solid Conductors and Screens. - 2. Variational Principles and Two-Sided Estimates of Capacitance. - 3. Capacitance of Conductors in an Anisotropic and Nonhomogeneous Medium. - 4. Physical Analogues of Capacitance. - 5. Calculating the Potential Coefficients. - 4. Numerical Examples. - 1. Introduction. - 2. Capacitance of a Circular Cylinder. - 3. Capacitance of a Parallelepiped of Arbitrary Shape. - 4. Interaction Between Conductors. - 5. Calculating the Polarizability Tensor. - 1. Calculating the Polarizability Tensor of a Solid body. - 2. The Polarizability Tensor of a Thin Metallic Screen. - 3. The Polarizability Tensors of a Flaky-Homogeneous Body or a System of Bodies. - 4. Variational Principles for Polarizability. - 6. Iterative Methods of Solving some Integral Equations Basic in the Theory of Static Fields: Mathematical Results. -1. Iterative Methods of Solving the Fredholm Equations of the Second Kind at a Characteristic Value. - 2. Iterative Processes for Solving Some Operator Equations. - 3. Iterative Processes for Solving the Exterior and Interior Boundary Value Problems. - 4. An Iterative Process for Solving the Fredholm Integral Equations of the First Kind with Pointwise Positive Kernel. - 7. Wave Scattering by Small Bodies. - 1. Introduction. - 2. Scalar Wave Scattering: The Single-Body Problem. - 3. Scalar Wave Scattering: The Many-Body Problem. - 4. Electromagnetic Wave Scattering. - 5. Radiation from Small Apertures and the Skin Effect for Thin Wires. - 6. The Inverse Problem of Radiation Theory. - Problems. - Bibliographical Notes. - List of Symbols. Language: English