Schwarz-Christoffel Mapping (Cambridge Monographs on Applied and Computational Mathematics, Series Number 8) - Hardcover

Driscoll, Tobin A.; Trefethen, Lloyd N.

Hardcover

ISBN 10: 0521807263 ISBN 13: 9780521807265

Publisher: Cambridge University Press, 2002

Synopsis

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.

About this title

Book Description

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.

Review

"This is a very welcome addition to the literature of Schwarz-Christoffel (SC) transformations and, more generally, to the constructive conformal mapping literature.... The book is very well written and extremely informative. In particular, it reports on all the recent algorithmic developments and gives a clear picture of the remarkable capabilities of modern SC mapping.... Another attractive feature of the book is that most of its 76 figures are computer-generated (using the SC Toolbox) and are not just schematic but also quantitatively correct.... This is a very nice book. I recommend it, enthusiastically, to all those who work in numerical conformal mapping, to those who wish to find out about the modern capabilities of constructive SC mapping, and to all the engineering and science practitioners who might wish to use conformal mapping in applications but are not aware of these capabilities." Mathematical Reviews Mathematical Reviews

Edition details

• Publisher: Cambridge University Press
• Publication date: 2002
• ISBN 10: 0521807263
• ISBN 13: 9780521807265
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 150