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Harmonic Mappings in the Plane

Harmonic Mappings in the Plane

Hardcover

Series: Cambridge Tracts in Mathematics, Book 156

General MathematicsProbability & Statistics

ISBN10: 0521641217
ISBN13: 9780521641210
Publisher: Cambridge University Press
Published: Mar 29 2004
Pages: 226
Weight: 1.00
Height: 0.80 Width: 6.10 Depth: 9.00
Language: English
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 planar harmonic mappings, treating both the generalizations of univalent analytic functions and the connections with minimal surfaces. It contains background material in complex analysis and a full development of the classical theory of minimal surfaces, including the Weierstrass-Enneper representation. It introduces non-specialists to a beautiful area of complex analysis and geometry.

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