A Course in Minimal Surfaces (Graduate Studies in Mathematics) - Tapa blanda

Libro 98 de 190: Graduate Studies in Mathematics

Colding, Tobias Holck; II, William P. Minicozzi

 
9781470476403: A Course in Minimal Surfaces (Graduate Studies in Mathematics)
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ISBN 10: 1470476401 ISBN 13: 9781470476403
Editorial: American Mathematical Society, 2011

Sinopsis

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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Acerca del autor

Tobias Holck Colding, Massachusetts Institute of Technology, Cambridge, MA.

William P. Minicozzi II, Johns Hopkins University, Baltimore, MD.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
American Mathematical Society
Año de publicación
2011
Idioma
Inglés
ISBN 10 
1470476401
ISBN 13 
9781470476403
Encuadernación
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Número de páginas
313
Contacto del fabricante
no disponible
Persona responsable
no disponible

Otras ediciones populares con el mismo título

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

Edición Destacada

ISBN 10:  0821853236 ISBN 13:  9780821853238
Editorial: American Mathematical Society, 2011
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