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Harmonic mappings in the plane /
This first comprehensive account of the theory of planar harmonic mappings, meant for non-specialists, treats both the generalizations of univalent analytic functions and the connections with minimal surfaces. Included are background material in complex analysis and a full development of the classic...
| Call Number: | Libro Electrónico |
|---|---|
| Main Author: | |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
Cambridge, UK ; New York :
Cambridge University Press,
2004.
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| Series: | Cambridge tracts in mathematics ;
156. |
| Subjects: | |
| Online Access: | Texto completo |
Table of Contents:
- Cover; Half-title; Title; Copyright; Dedication; Contents; Preface; 1 Preliminaries; 2 General Properties of Harmonic Mappings; 3 Harmonic Mappings onto Convex Regions; 4 Harmonic Self-Mappings of the Disk; 5 Harmonic Univalent Functions; 6 Extremal Problems; 7 Mapping Problems; 8 Additional Topics; 9 Minimal Surfaces; 10 Curvature of Minimal Surfaces; Appendix Extremal Length; References; Index.