A Course in Minimal Surfaces

Language: English

Published by American Mathematical Society, US, 2011

1470476401 / 9781470476403

Series: Book 98 of 190 - Graduate Studies in Mathematics

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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.…

Seller Inventory # LU-9781470476403

Title
A Course in Minimal Surfaces
Author
Tobias Holck Colding, William P. Minicozzi II
Publisher
American Mathematical Society, US
Publication year
2011
Condition
New
Binding
Paperback
Language
English
ISBN 10
1470476401
ISBN 13
9781470476403
Series
Book 98 of 190: Graduate Studies in Mathematics

Rarewaves.com UK

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