✦ LIBER ✦

Harmonic mappings in the plane

✍ Scribed by Peter Duren

Book ID: 127456317
Publisher: Cambridge University Press
Year: 2004
Tongue: English
Weight: 1 MB
Series: Cambridge tracts in mathematics 156
Category: Library
City: Cambridge, UK; New York
ISBN: 0511185103

No coin nor oath required. For personal study only.

✦ Synopsis

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.

📜 SIMILAR VOLUMES

Harmonic Mappings in the plane

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Duren (mathematics, U. of Michigan) examines these univalent complex- valued harmonic functions of a complex variable, treating both the generalizations of univalent analytic functions and the connections with minimal surfaces. Duran's topics include general properties of harmonic mappings, harmonic

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