Holdings: Harmonic mappings in the plane /

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...

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Bibliographic Details
Main Author:	Duren, Peter L., 1935-
Format:	Electronic eBook
Language:	English
Published:	Cambridge, UK ; New York : Cambridge University Press, 2004.
Series:	Cambridge tracts in mathematics ; 156.
Subjects:	Harmonic maps. Applications harmoniques. MATHEMATICS > Topology. Harmonic maps Harmonische functies. Potentiaaltheorie.
Online Access:	DE-862 DE-863
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.
Physical Description:	1 online resource (xii, 212 pages) : illustrations
Bibliography:	Includes bibliographical references (pages 201-209) and index.
ISBN:	0511185103 9780511185106 0511187777 9780511187773 0511186843 9780511186844 0511185936 9780511185939 9780521641210 0521641217 0511546602 9780511546600 9786610449583 6610449589 1107142539 9781107142534 1280449586 9781280449581 0511313799 9780511313790

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260			\|a Cambridge, UK ; \|a New York : \|b Cambridge University Press, \|c 2004.
300			\|a 1 online resource (xii, 212 pages) : \|b illustrations
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380			\|a Bibliography
490	1		\|a Cambridge tracts in mathematics ; \|v 156
504			\|a Includes bibliographical references (pages 201-209) and index.
505	0		\|a 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.
520			\|a 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.
588	0		\|a Print version record.
546			\|a English.
650		0	\|a Harmonic maps. \|0 http://id.loc.gov/authorities/subjects/sh85058944
650		6	\|a Applications harmoniques.
650		7	\|a MATHEMATICS \|x Topology. \|2 bisacsh
650		7	\|a Harmonic maps \|2 fast
650	1	7	\|a Harmonische functies. \|2 gtt
650	1	7	\|a Potentiaaltheorie. \|2 gtt
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id	ZDB-4-EBA-ocm69703943
illustrated	Illustrated
indexdate	2025-04-11T08:35:43Z
institution	BVB
isbn	0511185103 9780511185106 0511187777 9780511187773 0511186843 9780511186844 0511185936 9780511185939 9780521641210 0521641217 0511546602 9780511546600 9786610449583 6610449589 1107142539 9781107142534 1280449586 9781280449581 0511313799 9780511313790
language	English
oclc_num	69703943
open_access_boolean
owner	MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS
owner_facet	MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS
physical	1 online resource (xii, 212 pages) : illustrations
psigel	ZDB-4-EBA FWS_PDA_EBA ZDB-4-EBA
publishDate	2004
publishDateSearch	2004
publishDateSort	2004
publisher	Cambridge University Press,
record_format	marc
series	Cambridge tracts in mathematics ;
series2	Cambridge tracts in mathematics ;
spelling	Duren, Peter L., 1935- https://id.oclc.org/worldcat/entity/E39PBJrKWmBMCVb7wxrhRXkFKd http://id.loc.gov/authorities/names/n82215078 Harmonic mappings in the plane / Peter Duren. Cambridge, UK ; New York : Cambridge University Press, 2004. 1 online resource (xii, 212 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier data file Bibliography Cambridge tracts in mathematics ; 156 Includes bibliographical references (pages 201-209) and index. 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. 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. Print version record. English. Harmonic maps. http://id.loc.gov/authorities/subjects/sh85058944 Applications harmoniques. MATHEMATICS Topology. bisacsh Harmonic maps fast Harmonische functies. gtt Potentiaaltheorie. gtt has work: Harmonic mappings in the plane (Text) https://id.oclc.org/worldcat/entity/E39PCG4CrydpB8jjBQvpVGcpj3 https://id.oclc.org/worldcat/ontology/hasWork Print version: Duren, Peter L., 1935- Harmonic mappings in the plane. Cambridge, UK ; New York : Cambridge University Press, 2004 0521641217 (DLC) 2003056516 (OCoLC)52547692 Cambridge tracts in mathematics ; 156. http://id.loc.gov/authorities/names/n42005726
spellingShingle	Duren, Peter L., 1935- Harmonic mappings in the plane / Cambridge tracts in mathematics ; 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. Harmonic maps. http://id.loc.gov/authorities/subjects/sh85058944 Applications harmoniques. MATHEMATICS Topology. bisacsh Harmonic maps fast Harmonische functies. gtt Potentiaaltheorie. gtt
subject_GND	http://id.loc.gov/authorities/subjects/sh85058944
title	Harmonic mappings in the plane /
title_auth	Harmonic mappings in the plane /
title_exact_search	Harmonic mappings in the plane /
title_full	Harmonic mappings in the plane / Peter Duren.
title_fullStr	Harmonic mappings in the plane / Peter Duren.
title_full_unstemmed	Harmonic mappings in the plane / Peter Duren.
title_short	Harmonic mappings in the plane /
title_sort	harmonic mappings in the plane
topic	Harmonic maps. http://id.loc.gov/authorities/subjects/sh85058944 Applications harmoniques. MATHEMATICS Topology. bisacsh Harmonic maps fast Harmonische functies. gtt Potentiaaltheorie. gtt
topic_facet	Harmonic maps. Applications harmoniques. MATHEMATICS Topology. Harmonic maps Harmonische functies. Potentiaaltheorie.
work_keys_str_mv	AT durenpeterl harmonicmappingsintheplane

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