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200 10$aSchwarz-Christoffel mapping /$fTobin A. Driscoll, Lloyd N. Trefethen$b[electronic resource]
210  1$aCambridge :$cCambridge University Press,$d2002.
215   $a1 online resource (xvi, 132 pages) $cdigital, PDF file(s)
225 1 $aCambridge monographs on applied and computational mathematics ;$v8
300   $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
311   $a0-521-80726-3 
320   $aIncludes bibliographical references (p. 121-130) and index.
327   $g1.$tIntroduction.$g1.1.$tThe Schwarz-Christoffel idea.$g1.2.$tHistory --$g2.$tEssentials of Schwarz-Christoffel mapping.$g2.1.$tPolygons.$g2.2.$tThe Schwarz-Christoffel formula.$g2.3.$tPolygons with one or two vertices.$g2.4.$tTriangles.$g2.5.$tRectangles and elliptic functions.$g2.6.$tCrowding --$g3.$tNumerical methods.$g3.1.$tSide-length parameter problem.$g3.2.$tQuadrature.$g3.3.$tInverting the map.$g3.4.$tCross-radio parameter problem.$g3.5.$tMapping using cross-ratios.$g3.6.$tSoftware --$g4.$tVariations.$g4.1.$tMapping from the disk.$g4.2.$tMapping from a strip.$g4.3.$tMapping from a rectangle.$g4.4.$tExterior maps.$g4.5.$tPeriodic regions and fractals.$g4.6.$tReflections and other transformations.$g4.7.$tRiemann surfaces.$g4.8.$tGearlike regions.
330   $aThis book provides a comprehensive look at the Schwarz-Christoffel transformation, including its history and foundations, practical computation, common and less common variations, and many applications in fields such as electromagnetism, fluid flow, design and inverse problems, and the solution of linear systems of equations. It is an accessible resource for engineers, scientists, and applied mathematicians who seek more experience with theoretical or computational conformal mapping techniques. The most important theoretical results are stated and proved, but the emphasis throughout remains on concrete understanding and implementation, as evidenced by the 76 figures based on quantitatively correct illustrative examples. There are over 150 classical and modern reference works cited for readers needing more details. There is also a brief appendix illustrating the use of the Schwarz-Christoffel Toolbox for MATLAB, a package for computation of these maps.
410  0$aCambridge monographs on applied and computational mathematics ;$v8.
606   $aSchwarz-Christoffel transformation
615  0$aSchwarz-Christoffel transformation.
676   $a516.3/6
700   $aDriscoll$b Tobin A$g(Tobin Allen),$f1969-$0632423
702   $aTrefethen$b Lloyd N$g(Lloyd Nicholas),
801  0$bUkCbUP
801  1$bUkCbUP
906   $aBOOK
912   $a9910455569703321
996   $aSchwarz-Christoffel mapping$92473336
997   $aUNINA