A Course in Minimal Surfaces (Graduate Studies in Mathematics)

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9780821853238: A Course in Minimal Surfaces (Graduate Studies in Mathematics)

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. The only prerequisites needed for this book are a basic knowledge of Riemannian geometry and some familiarity with the maximum principle.

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Tobias Holck Colding, William P. Minicozzi
Edité par American Mathematical Society
ISBN 10 : 0821853236 ISBN 13 : 9780821853238
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Description du livre American Mathematical Society. Hardback. État : new. BRAND NEW, A Course in Minimal Surfaces, Tobias Holck Colding, William P. Minicozzi, 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 BernsteinAEs classical work, and even LebesgueAEs 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. The only prerequisites needed for this book are a basic knowledge of Riemannian geometry and some familiarity with the maximum principle. N° de réf. du libraire B9780821853238

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Tobias Holck Colding, William P. Minicozzi II
Edité par American Mathematical Society (2011)
ISBN 10 : 0821853236 ISBN 13 : 9780821853238
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Description du livre American Mathematical Society, 2011. Hardcover. État : New. N° de réf. du libraire DADAX0821853236

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Tobias Holck Colding, William P. Minicoz
Edité par American Mathematical Society (2011)
ISBN 10 : 0821853236 ISBN 13 : 9780821853238
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Murray Media
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Description du livre American Mathematical Society, 2011. Hardcover. État : New. N° de réf. du libraire P110821853236

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Colding, Tobias Holck; II, William P. Minicozzi
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ISBN 10 : 0821853236 ISBN 13 : 9780821853238
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Cloud 9 Books
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Description du livre American Mathematical Society. Hardcover. État : New. 0821853236 New Condition. N° de réf. du libraire NEW6.2029835

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