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|All Authors / Contributors:||
Ulrich Dierkes; Stefan Hildebrandt; Anthony Tromba
|Notes:||"This book is the third volume of a treatise on minimal surfaces consisting of altogether three volumes ... The present treatise forms a greatly expanded version of ... Minimal surfaces I, II by U. Dierkes, S. Hildebrandt, A. Küster, and O. Wohlrab, published in 1992"--Preface.
The other volumes in the treatise issued in 2010 by these authors are titled Minimal surfaces, and, Regularity of minimal surfaces.
|Description:||xvi, 537 pages : illustrations (some color) ; 24 cm.|
|Contents:||Introduction.- Part I. Free Boundaries and Bernstein Theorems.- 1.Minimal Surfaces with Supporting Half-Planes.- 2.Embedded Minimal Surfaces with Partially Free Boundaries.- 3.Bernstein Theorems and Related Results.- Part II. Global Analysis of Minimal Surfaces.- 4.The General Problem of Plateau: Another Approach.- 5.The Index Theorems for Minimal Surfaces of Zero and Higher Genus.- 6.Euler Characteristic and Morse Theory for Minimal Surfaces.- Bibliography.- Index.|
|Series Title:||Grundlehren der mathematischen Wissenschaften, 341.|
|Responsibility:||Ulrich Dierkes, Stefan Hildebrandt, Anthony J. Tromba.|
From the reviews of the second edition: "The most complete and thorough record of the ongoing efforts to justify Lagrange's optimism. ... contain a wealth of new material in the form of newly written