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

By: Contributor(s): Resource type: Ressourcentyp: BuchBookLanguage: English Series: Graduate studies in mathematics ; volume 121Publisher: Providence, Rhode Island : American Mathematical Society, [2011]Copyright date: © 2011Description: XII, 313 Seiten : Diagramme ; 26 cmISBN:
  • 9780821853238
Subject(s): MSC: MSC: *53A10 | 53C42 | 58E12 | 49Q05RVK: RVK: SK 370LOC classification:
  • QA644
Summary: "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 descriptionPPN: PPN: 638806615
Holdings
Item type Home library Shelving location Call number Status Date due Barcode Item holds
Freihandbestand ausleihbar Fachbibliothek Mathematik Bibliothek / frei aufgestellt Geom. / Col Available 36503255090
Total holds: 0

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