Quasiconformal Mapping

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High Quality Content by WIKIPEDIA articles! In mathematics, the concept of quasiconformal mapping, introduced as a technical tool in complex analysis, has blossomed into an independent subject with various applications. Informally, a conformal homeomorphism is a homeomorphism between plane domains which to first order takes small circles to small circles. A quasiconformal homeomorphism to first order takes small circles to small ellipses of bounded eccentricity. Intuitively, let :D D be an orientation preserving homeomorphism between open sets in the plane. If f is continuously differentiable, then it is K-quasiconformal if the derivative of f at every point maps circles to ellipses with eccentricity bounded by K.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786130343088
    • Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
    • Sprache Englisch
    • Größe H220mm x B150mm x T7mm
    • Jahr 2010
    • EAN 9786130343088
    • Format Kartonierter Einband
    • ISBN 978-613-0-34308-8
    • Titel Quasiconformal Mapping
    • Untertitel Mathematics, Complex Analysis, Conformal Map, Homeomorphism, Ellipse, Smooth Function, Lebesgue Measure, Distribution (Mathematics), Sobolev Space, Extremal Length
    • Gewicht 197g
    • Herausgeber VDM Verlag Dr. Müller e.K.
    • Anzahl Seiten 120
    • Genre Mathematik

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