Conformal Mapping: Methods and Applications
Beginning with a brief survey of some basic mathematical concepts, this graduate-level text proceeds to discussions of a selection of mapping functions, numerical methods and mathematical models, nonplanar fields and nonuniform media, static fields in electricity and magnetism, and transmission lines and waveguides. Other topics include vibrating membranes and acoustics, transverse vibrations and buckling of plates, stresses and strains in an elastic medium, steady state heat conduction in doubly connected regions, transient heat transfer in isotropic and anisotropic media, and fluid flow. Revision of 1991 ed. 247 figures. 38 tables. Appendices.
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analysis analytic angle anisotropic applied approach approximate axes boundary conditions Chapter characteristic impedance circular complex variable conductor configuration conformal mapping conformal transformation constant coordinate corresponding cross-section density determined dielectric differential equation domain doubly connected doubly connected region eigenvalues electric field electrodes electromagnetic element method elliptic equipotential lines example exterior finite element finite element method fluid flux fundamental frequency fundamental frequency coefficient given Gutierrez heat conduction Helmholtz equation hexagonal infinity integral equation interior inverse Laplace's equation Laura magnetic field mapping function mathematical medium membrane modulus obtained orthogonal parallel parameters physical plane plate polynomial potential field potential flow problem procedure propagation radius rectangle rectangular regular polygonal regular polygonal shape rotation Sanchez Sarmiento scale factor Schwarz-Christoffel transformation Section segment shown in Figure simply supported solution solved square surface symmetry t-axis Table theory unit circle values variational vibrations w-plane wave waveguide