Complex Domain: Circuits and Stability Complex numbers and quaternions Stability of an equilibrium position Addition, product, and inverses Impedance of associations of circuits Functions power and root Electron in an electromagnetic field Multivalued functions, branch-points, and branch-cuts Motion of a pendulum and a ship Stereographic projection of a sphere Examples Integrals and Residues: Flows and Gravity Differentiation and holomorphic functions Potential flow and multipoles Primitive and contour integrals Pressure and corner flows Loop integrals and poles Images on plane walls Improper integrals and principal value Mass and the gravity field Cauchy conditions and infinitesimals Examples Power Series: Electricity and Magnetism Convergence of and operations on series Multiple reflections in a lens Analytic series of ascending powers Electrostatics, charges, and dielectrics Singular series of ascending-descending powers Magnetostatics, currents, and permeability Classification of singularities and functions Forces and moments on bodies Combined test of convergence Examples Conformal Mapping: Heat and Aerodynamics Analytic continuation and rational functions Steady heat conduction Conformal and critical points Wing sections and planforms Linear and homographic transformations Channels, condensers, and wakes Mapping of domains and boundaries Hodograph for free jets Essential singularities, roots, and periods Examples Bibliography Index TRONG>Power Series: Electricity and Magnetism Convergence of and operations on series Multiple reflections in a lens Analytic series of ascending powers Electrostatics, charges, and dielectrics Singular series of ascending-descending powers Magnetostatics, currents, and permeability Classification of singularities and functions Forces and moments on bodies Combined test of convergence Examples Conformal Mapping: Heat and Aerodynamics Analytic continuation and rational functions Steady heat conduction Conformal and critical points Wing sections and planforms Linear and homographic transformations Channels, condensers, and wakes Mapping of domains and boundaries Hodograph for free jets Essential singularities, roots, and periods Examples Bibliography Index amp;lt;P>Bibliography Index.