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Item Details
| Title:
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MINIMAL SURFACES
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| By: |
Ulrich Dierkes, Stefan Hildebrandt, Friedrich Sauvigny |
| Format: |
Book |
| List price:
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£233.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
3642117155 |
| ISBN 13: |
9783642117152 |
| Publisher: |
SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG |
| Pub. date: |
16 May, 2010 |
| Edition: |
2nd, rev. and enlarged ed. 20113 Books |
| Series: |
Die Grundlehren der Mathematischen Wissenschaften 339-341 |
| Pages: |
1960 |
| Description: |
This three-volume treatise consists of the volumes Minimal Surfaces, Regularity of Minimal Surfaces and Global Theory of Minimal Surfaces that replace the monograph Minimal Surfaces of the Grundlehren der mathematischen Wissenschaft series. |
| Synopsis: |
The three-volume treatise consists of the volumes Minimal Surfaces (GL 339), Regularity of Minimal Surfaces (GL 340), and Glolbal Theory of Minimal Surfaces (GL 341) that replace the monograph Minimal Surfaces I , II, published as volumes 295 and 296 of the Grundlehren der mathematischen Wissenschaft series. Ther first volume covers the classical theory as well as existence results concerning boundary value problems for minimal surfaces, in particular results for Plateau's problem. The second volume deals with basic regularity results for minimal surfaces concerning their boundary behaviour at Plateau boundaries and free boundaries. Moreover, exclosure theorems, isoperimetricc inequalities and existence theorems for surfaces of prescribed mean curvature in a Riemanian manifold and for the thread problem are discussed. Finally, the third volume deals with geometric properties of minimal surfaces with free boundaries and with a priori gradient estimates for n-dimensional minimal surfaces, leading to various Bernstein-type theorems. Secondly, a global theory of minimal surfaces (as envisioned by Smale) is presented, including index theorems. |
| No. of pieces |
3 |
| Illustrations: |
biography |
| Publication: |
Germany |
| Imprint: |
Springer-Verlag Berlin and Heidelberg GmbH & Co. K |
| Returns: |
Non-returnable |
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