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Plateau's Problem

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Almgren, Frederick J. 作者
American Mathematical Society
譯者
2001 出版日期
88 頁數
184.00元 價格
Student Mathematical Library 叢書系列
9780821827475 圖書編碼

Plateau's Problem 在線電子書 圖書標籤: 科普  數學   


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Plateau's Problem 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Plateau's Problem 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Plateau's Problem 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024



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Plateau's Problem 在線電子書 著者簡介


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Plateau's Problem 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Plateau's Problem 在線電子書 圖書描述

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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