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Author:   Ruben Jakob ,  Ulrich Dierkes ,  Albrecht Kuster ,  Stefan Hildebrandt
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2nd, rev. and enlarged ed. 2010
Volume:   339
Dimensions:   Width: 15.50cm , Height: 3.80cm , Length: 23.50cm
Weight:   1.220kg
ISBN:  

9783642116971

ISBN 10:   3642116973
Pages:   692
Publication Date:   01 October 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

to the Geometry of Surfaces and to Minimal Surfaces.- Differential Geometry of Surfaces in Three-Dimensional Euclidean Space.- Minimal Surfaces.- Representation Formulas and Examples of Minimal Surfaces.- Plateau's Problem.- The Plateau Problem and the Partially Free Boundary Problem.- Stable Minimal- and H-Surfaces.- Unstable Minimal Surfaces.- Graphs with Prescribed Mean Curvature.- to the Douglas Problem.- Problems.

Reviews

From the reviews of the second edition: This volume is in many ways an introduction to differential geometry and to the classical theory of minimal surfaces, and the first four chapters should be readable for graduate students since the only prerequisites are the elements of vector analysis and some basic knowledge of complex analysis. ... In general, the material of this volume is self-contained ... . For further study the authors refer to the extensive bibliography as well as to comments and references in the Scholia attached to each chapter. (Andrew Bucki, Mathematical Reviews, Issue 2012 b)

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