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Schwarz-Christoffel Mapping
Tobin A. Driscoll
Lloyd N. Trefethen
出版
Cambridge University Press
, 2002-06-20
主題
Mathematics / Mathematical Analysis
Mathematics / Numerical Analysis
ISBN
0521807263
9780521807265
URL
http://books.google.com.hk/books?id=_gfOngEACAAJ&hl=&source=gbs_api
註釋
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.