Download EBOOK Harmonic Mappings in the Plane PDF for free


Download EBOOK Harmonic Mappings in the Plane PDF for free Category: Science & Geography
The author of the book: Peter L. Duren
Format files: PDF, EPUB, TXT, DOCX
The size of the: 955 KB
Language: English
ISBN-13: 9780521641210
Edition: CAMBRIDGE UNIVERSITY PRESS
Date of issue: 3 September 2013

Description of the book "Harmonic Mappings in the Plane":

Harmonic mappings in the plane are univalent complex-valued harmonic functions of a complex variable. Conformal mappings are a special case where the real and imaginary parts are conjugate harmonic functions, satisfying the Cauchy-Riemann equations. Harmonic mappings were studied classically by differential geometers because they provide isothermal (or conformal) parameters for minimal surfaces. More recently they have been actively investigated by complex analysts as generalizations of univalent analytic functions, or conformal mappings. Many classical results of geometric function theory extend to harmonic mappings, but basic questions remain unresolved. This book is the first comprehensive account of the theory of PDF planar harmonic mappings, treating both the generalizations of univalent analytic functions and the connections with minimal surfaces. Essentially self-contained, the book contains background material in complex analysis and a full development of the classical theory of minimal surfaces, including the Weierstrass-Enneper representation. It is designed to introduce non-specialists to a beautiful area of complex analysis and geometry.

Download EBOOK Harmonic Mappings in the Plane PDF for free


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Peter L. Duren

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Download EBOOK Harmonic Mappings in the Plane PDF for free



Download EBOOK Harmonic Mappings in the Plane for free

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