Normale Ansicht MARC ISBD

A course in minimal surfaces Tobias Holck Colding, William P. Minicozzi II

Von:

Colding, Tobias H [VerfasserIn]

Mitwirkende(r):

Minicozzi, William P, 1967- [VerfasserIn]

Materialtyp: Text

TextSprache: Englisch Reihen: Graduate studies in mathematics ; 121Verlag: Providence, Rhode Island American Mathematical Society [2011]Copyright-Datum: © 2011Beschreibung: XII, 313 Seiten Diagramme 26 cmInhaltstyp:

Text

Medientyp:

ohne Hilfsmittel zu benutzen

Datenträgertyp:

Band

ISBN:

9780821853238

Schlagwörter:

LOC-Klassifikation:

QA644

Andere Klassifikation:

17,1
SK 370
*53A10
53C42
58E12
49Q05
31.52

Online-Ressourcen:

Zentralblatt MATH Inhaltstext

Bearbeitungsvermerk:

Zusammenfassung: "Minimal surfaces date back to Euler and Lagrange and the beginning of the calculus of variations. Many of the techniques developed have played key roles in geometry and partial differential equations. Examples include monotonicity and tangent cone analysis originating in the regularity theory for minimal surfaces, estimates for nonlinear equations based on the maximum principle arising in Bernstein's classical work, and even Lebesgue's definition of the integral that he developed in his thesis on the Plateau problem for minimal surfaces. This book starts with the classical theory of minimal surfaces and ends up with current research topics. Of the various ways of approaching minimal surfaces (from complex analysis, PDE, or geometric measure theory), the authors have chosen to focus on the PDE aspects of the theory. The book also contains some of the applications of minimal surfaces to other fields including low dimensional topology, general relativity, and materials science."--Publisher's description

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Medientyp	Aktuelle Bibliothek	Sammlung	Standort	Signatur	Status	Fälligkeitsdatum	Barcode
Buch	Gebäude E2 4 (UdS FR MATHE )	UdS Mathematik Handapparate (E2 4)	Internal	COL t2 2011:1 1.Ex (Regal durchstöbern(Öffnet sich unterhalb))	restricted use		2202000635901

Literaturverzeichnis: Seiten 299-310

"Minimal surfaces date back to Euler and Lagrange and the beginning of the calculus of variations. Many of the techniques developed have played key roles in geometry and partial differential equations. Examples include monotonicity and tangent cone analysis originating in the regularity theory for minimal surfaces, estimates for nonlinear equations based on the maximum principle arising in Bernstein's classical work, and even Lebesgue's definition of the integral that he developed in his thesis on the Plateau problem for minimal surfaces. This book starts with the classical theory of minimal surfaces and ends up with current research topics. Of the various ways of approaching minimal surfaces (from complex analysis, PDE, or geometric measure theory), the authors have chosen to focus on the PDE aspects of the theory. The book also contains some of the applications of minimal surfaces to other fields including low dimensional topology, general relativity, and materials science."--Publisher's description

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