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Author Driscoll, Tobin A. (Tobin Allen), 1969- author
Title Schwarz-Christoffel mapping / Tobin A. Driscoll, Lloyd N. Trefethen
Imprint Cambridge : Cambridge University Press, 2002
book jacket
Descript 1 online resource (xvi, 132 pages) : digital, PDF file(s)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
Series Cambridge monographs on applied and computational mathematics ; 8
Cambridge monographs on applied and computational mathematics ; 8
Note Title from publisher's bibliographic system (viewed on 05 Oct 2015)
1. Introduction. 1.1. The Schwarz-Christoffel idea. 1.2. History -- 2. Essentials of Schwarz-Christoffel mapping. 2.1. Polygons. 2.2. The Schwarz-Christoffel formula. 2.3. Polygons with one or two vertices. 2.4. Triangles. 2.5. Rectangles and elliptic functions. 2.6. Crowding -- 3. Numerical methods. 3.1. Side-length parameter problem. 3.2. Quadrature. 3.3. Inverting the map. 3.4. Cross-radio parameter problem. 3.5. Mapping using cross-ratios. 3.6. Software -- 4. Variations. 4.1. Mapping from the disk. 4.2. Mapping from a strip. 4.3. Mapping from a rectangle. 4.4. Exterior maps. 4.5. Periodic regions and fractals. 4.6. Reflections and other transformations. 4.7. Riemann surfaces. 4.8. Gearlike regions
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, as evidenced by the 76 figures based on quantitatively correct illustrative examples. There are over 150 classical and modern reference works cited for readers needing more details. There is also a brief appendix illustrating the use of the Schwarz-Christoffel Toolbox for MATLAB, a package for computation of these maps
TAEBDC; 2009
Link Print version: 9780521807265
Subject Schwarz-Christoffel transformation
Alt Author Trefethen, Lloyd N. (Lloyd Nicholas), author
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