Harmonic Mappings in the Plane
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.
1100949577
Harmonic Mappings in the Plane
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.
151.0 In Stock
Harmonic Mappings in the Plane

Harmonic Mappings in the Plane

by Peter Duren
Harmonic Mappings in the Plane

Harmonic Mappings in the Plane

by Peter Duren

Overview

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.

Product Details

ISBN-13: 9780521641210
Publisher: Cambridge University Press
Publication date: 03/29/2004
Series: Cambridge Tracts in Mathematics , #156
Edition description: New Edition
Pages: 226
Product dimensions: 5.98(w) x 9.02(h) x 0.63(d)

Table of Contents

1. Preliminaries; 2. Local 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; References.
From the B&N Reads Blog
Page 1 of

Related Subjects

Science & Technology
Mathematics
Geometry
Geometry - Differential
Science & Technology
Mathematics
Geometry
Geometry - Differential

Customer Reviews