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The Schwarz function and its applications / by Philip J. Davis.


[Washington] : Mathematical Association of America, 1974.
ISBN 9780883850176, 0883850176, 0883850001, 9780883850008

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Subjects Analytic functions.
Equacoes Diferenciais Parciais.
Fonctions analytiques.
Geometry, Analytic -- Plane.
Géométrie analytique -- Plan.
Géométrie analytique.
Schwarzsche Dreiecksfunktion.
Schwarzsche Funktion.
Series Carus mathematical monographs ; no. 17.
Description xi, 228 pages : illustrations ; 20 cm.
Copyright Date 1974.
Notes Includes bibliographical references (pages 219-223) and index.
Contents Prologue -- Conjugate coordinates in the plane -- Elementary geometrical facts -- The none-point circle -- The Schwarz function for an analytic arc -- Geometrical interpretation of the Schwarz function; Schwarzian reflection -- The Schwarz function and differential geometry -- Conformal maps, reflections, and their algebra -- What figure is the [square root]-1 power of a circle? -- Properties in the large of the Schwarz function -- Derivatives and integrals -- Application to elementary fluid mechanics -- The Schwarz function and the Dirichlet problem -- Schwarz functions of specified type -- Schwarz functions and iterations -- Dictionary of functional relationships -- Bibliographical and supplementary notes -- Bibliography.
Network Numbers (OCoLC)1095123
(OCoLC)ocm01095123
WorldCat Search OCLC WorldCat
WorldCat Identities Davis, Philip J., 1923-
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