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Topological dynamics. --- Conformal mapping. --- Dynamique topologique. --- Applications conformes.

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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.

Conformal mapping. --- Conformal representation of surfaces --- Mapping, Conformal --- Transformation, Conformal --- Geometric function theory --- Mappings (Mathematics) --- Surfaces, Representation of --- Transformations (Mathematics) --- Schwarz-Christoffel transformation --- 517.54 --- 517.95 --- 517.95 Partial differential equations --- Partial differential equations --- 517.54 Conformal mapping and geometric problems in the theory of functions of a complex variable. Analytic functions and their generalizations --- Conformal mapping and geometric problems in the theory of functions of a complex variable. Analytic functions and their generalizations --- S-C transformation --- Schwarz-Christoffel formula --- Schwarz-Christoffel mapping --- Conformal mapping --- Schwarz-Christoffel transformation. --- Applications conformes --- Numerical analysis

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Surfaces, Representation of. --- 517.54 --- 517.54 Conformal mapping and geometric problems in the theory of functions of a complex variable. Analytic functions and their generalizations --- Conformal mapping and geometric problems in the theory of functions of a complex variable. Analytic functions and their generalizations

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Differential geometry. Global analysis --- 517.54 --- Conformal mapping and geometric problems in the theory of functions of a complex variable. Analytic functions and their generalizations --- Riemann surfaces. --- Functions, Theta. --- 517.54 Conformal mapping and geometric problems in the theory of functions of a complex variable. Analytic functions and their generalizations --- Riemann surfaces --- Functions, Theta --- Riemann, surfaces de --- Fonctions thêta --- Fonctions thêta --- Géométrie algébrique --- Fonctions thêta. --- Géométrie algébrique --- Riemann, Surfaces de

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512.73 --- 517.54 --- Cohomology theory of algebraic varieties and schemes --- Conformal mapping and geometric problems in the theory of functions of a complex variable. Analytic functions and their generalizations --- 517.54 Conformal mapping and geometric problems in the theory of functions of a complex variable. Analytic functions and their generalizations --- 512.73 Cohomology theory of algebraic varieties and schemes --- Équations aux dérivées partielles. --- Differential equations, Partial --- Plateau, Problème de. --- Plateau's problem --- Differential equations, Partial. --- Geometrie differentielle classique --- Surfaces minima