Handbook of Conformal Mappings and Applications

Prem K. Kythe is a Professor Emeritus of Mathematics at the University of New Orleans. He is the author/co-author of 12 books and author of 46 research papers. His research interests encompass the fields of complex analysis, continuum mechanics, and wave theory, including boundary element methods, finite element methods, conformal mappings, PDEs and boundary value problems, linear integral equations, computation integration, fundamental solutions of differential operators, Green’s functions, and coding theory.

• Part 1: Theory and Conformal Maps1 Introduction 2 Conformal Mapping 3 Linear and Bilinear Transformations 4 Algebraic Functions 5 Exponential Family of Functions 6 Joukowski Airfoils 7 Schwarz-Christoffel Transformation Part 2: Numerical Methods8 Schwarz-Christoffel Integrals 9 Nearly Circular Regions 10 Integral Equation Methods 11 Theodorsen’s Integral Equation 12 Symm’s Integral Equation 13 Airfoils and Singularities 14 Doubly Connected Regions15 Multiply Connected Regions Part 3: Applications16 Grid Generation 17 Field Theories 18 Fluid Flows 19 Heat Transfer 20 Vibrations and Acoustics 21 Electromagnetic Field 22 Transmission Lines and Waveguides 23 Elastic Medium 24 Finite Element Method 25 Computer Programs and Resources