Frederick Almgren

Plateau's problem

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ISBN 13:
9780821827475
author:
Frederick Almgren
format:
Paperback
publisher:
American Mathematical Society
language:
English
Publication Year:
2001
Pages:
88
Dimensions:
21.5 x 14.3 x 0.5 centimetres (0
Genre:
Science, Mathematics, Geometry,
Condition:
New
Availability:
Item usually sent within 10 working days
£45.53

Description

Plateau's Problem: An Invitation to Varifold Geometry by Frederick J. Almgren (Jr.) This influential book explores the theory of minimal surfaces and geometric measure theory, introducing the concept of varifolds as a key tool for solving Plateau's Problem. The problem, concerned with the behavior of soap films, requires the use of varifolds to obtain meaningful solutions without prior knowledge of their singularities. Varifolds play a central role in this work, enabling new analysis and results in geometric measure theory. By combining differential geometry and measure theory, researchers can tackle problems with variational aspects. The author's aim was to encourage young mathematicians to delve into this fascinating subject, and his students' success suggests that the book has achieved this goal. Written in 1966, Plateau's Problem remains a foundational text in the field of geometric measure theory, offering insights into the intersection of differential geometry and measure theory.

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