1st Edition
Complex Analysis with Applications to Flows and Fields
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
Biography
Luis Manuel Braga da Costa Campos is the director of the Center for Aeronautical and Space Science and Technology at Lisbon Technical University in Portugal.
