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Harmonic Mappings in the Plane.
~
Bollobas, B.
Harmonic Mappings in the Plane.
Record Type:
Electronic resources : Monograph/item
Title/Author:
Harmonic Mappings in the Plane./
Author:
Duren, Peter.
other author:
Bollobas, B.
Published:
Cambridge :Cambridge University Press, : 2004.,
Description:
226 p.
Subject:
Harmonic maps. -
Online resource:
Click here to view book
ISBN:
9780511546600 (electronic bk.)
Harmonic Mappings in the Plane.
Duren, Peter.
Harmonic Mappings in the Plane.
[electronic resource]. - Cambridge :Cambridge University Press,2004. - 226 p.
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.
Electronic reproduction.
Available via World Wide Web.
Mode of access: World Wide Web.
ISBN: 9780511546600 (electronic bk.)Subjects--Topical Terms:
277309
Harmonic maps.
Index Terms--Genre/Form:
96803
Electronic books.
LC Class. No.: QA614.73 .D87 2004eb
Dewey Class. No.: 514/.74
Harmonic Mappings in the Plane.
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Harmonic Mappings in the Plane.
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[electronic resource].
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2004.
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Cambridge University Press,
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226 p.
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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
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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.
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Electronic reproduction.
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Available via World Wide Web.
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Mode of access: World Wide Web.
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Fulton, W.
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Katok, A.
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Kirwan, F.
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Sarnak, P.
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Simon, B.
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Click here to view book
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http://ebooks.cambridge.org/ebook.jsf?bid=CBO9780511546600
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