| Description |
1 online resource (xii, 212 pages) : illustrations. |
|
data file |
|
Bibliography |
| Physical Medium |
polychrome |
| Series |
Cambridge tracts in mathematics ; 156
|
|
Cambridge tracts in mathematics ; 156.
|
| Bibliography |
Includes bibliographical references (pages 201-209) and index. |
| 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. |
| Summary |
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 classical theory of minimal surfaces, including the Weierstrass-Enneper representation. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Harmonic maps.
|
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Harmonic maps. |
| Genre/Form |
Electronic books.
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Electronic books.
|
| Other Form: |
Print version: Duren, Peter L., 1935- Harmonic mappings in the plane. Cambridge, UK ; New York : Cambridge University Press, 2004 0521641217 (DLC) 2003056516 (OCoLC)52547692 |
| ISBN |
0511185103 (electronic book) |
|
9780511185106 (electronic book) |
|
0511187777 |
|
9780511187773 |
|
0511186843 |
|
9780511186844 |
|
0511185936 (electronic book) |
|
9780511185939 (electronic book) |
|
9780521641210 |
|
0521641217 |
|
0511546602 (electronic book) |
|
9780511546600 (electronic book) |
|
9786610449583 |
|
6610449589 |
|
0521641217 (Cloth) |
|
