## Schwarz-Christoffel MappingThis 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. |

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Analysis analytic angle appear Appl applications approximation arcs argument bottom boundary conditions bounded circle complex Comput conformal mapping constant construct continued corners corresponding cross-ratios crowding curves define described determine Dirichlet discussion disk domain doubly connected Elcrat elliptic embedding ends equation example extended exterior fact factor Figure flow fluid formula function geometry given grid Hence idea illustrated infinite integral integrand intervals iterations leads length linear Math method numerical oblique derivative obtain original parameter problem periodic plane plot polygon polynomial practice prevertex prevertices quadrilateral ratio real axis rectangle refer reflection region remains require result Riemann satisfies SC map Schwarz Schwarz–Christoffel mapping segments separated shown side simply singularities slit solution solving step strip surface term Theorem Theory Toolbox Trans transformation translation Trefethen unique unit unknown upper half-plane values vertex vertices

### References to this book

Water Transport in Brick, Stone and Concrete Christopher Hall,William D. Hoff No preview available - 2002 |