| Description |
1 online resource (xii, 212 pages) : illustrations |
| Series |
Cambridge tracts in mathematics ; 156 |
|
Cambridge tracts in mathematics ; 156.
|
| 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 |
| Bibliography |
Includes bibliographical references (pages 201-209) and index |
| Notes |
English |
|
Print version record |
| Subject |
Harmonic maps.
|
|
MATHEMATICS -- Topology.
|
|
Harmonic maps
|
|
Harmonische functies.
|
|
Potentiaaltheorie.
|
| Form |
Electronic book
|
| ISBN |
0511185103 |
|
9780511185106 |
|
0511187777 |
|
9780511187773 |
|
0511186843 |
|
9780511186844 |
|
0511185936 |
|
9780511185939 |
|
9780521641210 |
|
0521641217 |
|
0511546602 |
|
9780511546600 |
|
9786610449583 |
|
6610449589 |
|
1107142539 |
|
9781107142534 |
|
1280449586 |
|
9781280449581 |
|
0511313799 |
|
9780511313790 |
|
