Plateau's Problem: An Invitation to Varifold Geometry - Brossura

Almgren, Frederick J., Jr.

 
9780821827475: Plateau's Problem: An Invitation to Varifold Geometry
Brossura
ISBN 10: 0821827472 ISBN 13: 9780821827475
Casa editrice: Amer Mathematical Society, 2001

Sinossi

There have been many wonderful developments in the theory of minimal surfaces and geometric measure theory in the past 25 to 30 years. Many of the researchers who have produced these excellent results were inspired by this little book - or by Fred Almgren himself. The book is indeed a delightful invitation to the world of variational geometry. A central topic is Plateau's Problem, which is concerned with surfaces that model the behavior of soap films.When trying to resolve the problem, however, one soon finds that smooth surfaces are insufficient: Varifolds are needed. With varifolds, one can obtain geometrically meaningful solutions without having to know in advance all their possible singularities. This new tool makes possible much exciting new analysis and many new results. Plateau's problem and varifolds live in the world of geometric measure theory, where differential geometry and measure theory combine to solve problems which have variational aspects. The author's hope in writing this book was to encourage young mathematicians to study this fascinating subject further. Judging from the success of his students, it achieves this exceedingly well.

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Product Description

Book by Almgren Frederick J Jr

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Amer Mathematical Society
Data di pubblicazione
2001
Lingua
Inglese
ISBN 10 
0821827472
ISBN 13 
9780821827475
Rilegatura
Copertina flessibile
Disegnatore
Brakke Kenneth A., Sullivan John M.
Numero di pagine
78
Contatto del produttore
non disponibile
Persona responsabile
non disponibile