Plateau's Problem pdf epub mobi txt 电子书 下载 2024


Plateau's Problem

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Almgren, Frederick J.
American Mathematical Society
2001
88
184.00元
Student Mathematical Library
9780821827475

图书标签: 科普  数学   


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发表于2024-12-28

Plateau's Problem epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

Plateau's Problem epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

Plateau's Problem pdf epub mobi txt 电子书 下载 2024



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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.

Plateau's Problem 下载 mobi epub pdf txt 电子书

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