Schwarz-Christoffel Mapping [Hardcover]

A comprehensive look at the Schwarz-Christoffel transformation, including its many applications.Written by the world's two leading experts in the field, this practical guide will have broad appeal. The topic is a subset of conformal mapping and is most closely associated with Laplace's equation on polygonal geometries in two dimensions. The applications of Schwarz-Christoffel Mapping have yet to be thoroughly explored, but through the use of numerous figures and extensive referencing, the authors have made this exciting techique accessible. Electrical engineers as well as applied researchers will find particular interest in this book.Written by the world's two leading experts in the field, this practical guide will have broad appeal. The topic is a subset of conformal mapping and is most closely associated with Laplace's equation on polygonal geometries in two dimensions. The applications of Schwarz-Christoffel Mapping have yet to be thoroughly explored, but through the use of numerous figures and extensive referencing, the authors have made this exciting techique accessible. Electrical engineers as well as applied researchers will find particular interest in this book.This book provides a comprehensive look at the Schwarz-Christoffel transformation, including its history and foundations, practical computation, common and less common variations, and many applications in fields such as electromagnetism, fluid flow, design and inverse problems, and the solution of linear systems of equations. It is an accessible resource for engineers, scientists, and applied mathematicians who seek more experience with theoretical or computational conformal mapping techniques. The most important theoretical results are stated and proved, but the emphasis throughout remains on concrete understanding and implementation. There is a brief appendix illustrating the use of the Schwarz-Christoffel Toolbox for MATLAB, the state-of-the-art package for computation of these maps.Preface;l3…