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Harmonic Mappings in the Plane.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Harmonic Mappings in the Plane./
作者:	Duren, Peter.
其他作者:	Simon, B.
出版者:	Cambridge :Cambridge University Press, : 2004.,
面頁冊數:	226 p.
標題:	Harmonic maps. -
電子資源:	Click here to view book
ISBN:	9780511189616 (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: 9780511189616 (electronic bk.)Subjects--Topical Terms:

685349
Harmonic maps.
Index Terms--Genre/Form:

554714
Electronic books.

LC Class. No.: QA614.73 .D87 2004eb

Dewey Class. No.: 514/.74

Harmonic Mappings in the Plane.
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300 $a 226 p.
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.
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538 $a Mode of access: World Wide Web.
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