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| Document Type: | Book |
|---|---|
| All Authors / Contributors: |
Ulrich Dierkes; Stefan Hildebrandt; Anthony Tromba |
| ISBN: | 9783642117053 3642117058 |
| OCLC Number: | 506253065 |
| 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"--Pref. The other volumes in the treatise issued in 2010 by these authors are titled Minimal surfaces, and, Regularity of minimal surfaces. |
| Description: | xvi, 537 p. : ill. (some col.) ; 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. |
| More information: |
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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 chapters and sections ... . a compilation of results and proofs from a vast subject. Here were true scholars in the best sense of the word at work, creating their literary lifetime achievements. They wrote with love for detail, clarity and history, which makes them a pleasure to read. ... will become instantaneous classics." (Matthias Weber, The Mathematical Association of America, June, 2011) Read more...
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