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Global Analysis of Minimal Surfaces (Paperback, 2nd ed. 1992) Loot Price: R3,687
Discovery Miles 36 870
Global Analysis of Minimal Surfaces (Paperback, 2nd ed. 1992): Ulrich Dierkes, Stefan Hildebrandt, Anthony Tromba

Global Analysis of Minimal Surfaces (Paperback, 2nd ed. 1992)

Ulrich Dierkes, Stefan Hildebrandt, Anthony Tromba

Series: Grundlehren der mathematischen Wissenschaften, 341

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Loot Price R3,687 Discovery Miles 36 870 | Repayment Terms: R346 pm x 12*

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Many properties of minimal surfaces are of a global nature, and this is already true for the results treated in the first two volumes of the treatise. Part I of the present book can be viewed as an extension of these results. For instance, the first two chapters deal with existence, regularity and uniqueness theorems for minimal surfaces with partially free boundaries. Here one of the main features is the possibility of "edge-crawling" along free parts of the boundary. The third chapter deals with a priori estimates for minimal surfaces in higher dimensions and for minimizers of singular integrals related to the area functional. In particular, far reaching Bernstein theorems are derived. The second part of the book contains what one might justly call a "global theory of minimal surfaces" as envisioned by Smale. First, the Douglas problem is treated anew by using Teichmuller theory. Secondly, various index theorems for minimal theorems are derived, and their consequences for the space of solutions to Plateaus problem are discussed. Finally, a topological approach to minimal surfaces via Fredholm vector fields in the spirit of Smale is presented.

General

Imprint: Springer-Verlag
Country of origin: Germany
Series: Grundlehren der mathematischen Wissenschaften, 341
Release date: December 2012
First published: 2010
Authors: Ulrich Dierkes • Stefan Hildebrandt • Anthony Tromba
Dimensions: 235 x 155 x 33mm (L x W x T)
Format: Paperback
Pages: 537
Edition: 2nd ed. 1992
ISBN-13: 978-3-642-26533-4
Categories: Books > Science & Mathematics > Mathematics > Numerical analysis
Books > Science & Mathematics > Physics > General
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Calculus of variations
Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
Books > Science & Mathematics > Mathematics > Applied mathematics > General
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LSN: 3-642-26533-2
Barcode: 9783642265334

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