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Global Analysis of Minimal Surfaces

BuchGebunden
537 Seiten
Englisch
Springererschienen am04.10.20102nd ed.
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. For instance, the first two chapters deal with existence, regularity and uniqueness theorems for minimal surfaces with partially free boundaries.mehr
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BuchGebunden
EUR139,09
BuchKartoniert, Paperback
EUR139,09
E-BookPDF1 - PDF WatermarkE-Book
EUR128,39

Produkt

KlappentextMany 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. For instance, the first two chapters deal with existence, regularity and uniqueness theorems for minimal surfaces with partially free boundaries.
Zusammenfassung
Together with vol.

340 it is the long expected 2nd edition of the Grundlehren vol.

First part is the extension of the results treated in volumes 339 and 340 Second Part contains a "global theory of minimal surfaces" as envisioned by Smale

Includes supplementary material: sn.pub/extras
Details
ISBN/GTIN978-3-642-11705-3
ProduktartBuch
EinbandartGebunden
Verlag
Erscheinungsjahr2010
Erscheinungsdatum04.10.2010
Auflage2nd ed.
ReiheGrundlehren der mathematischen Wissenschaften
Seiten537 Seiten
SpracheEnglisch
Gewicht990 g
IllustrationenXVI, 537 p. 46 illus., 5 illus. in color.
Artikel-Nr.11278637

Inhalt/Kritik

Inhaltsverzeichnis
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.mehr
Kritik
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)mehr

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