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The Plateau problem by A. T. Fomenko

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Published by Gordon and Breach Science Publishers in New York .
Written in English

Subjects:

  • Plateau"s problem.,
  • Minimal surfaces.

Book details:

Edition Notes

StatementA.T. Fomenko.
SeriesStudies in the development of modern mathematics ;, v. 1
Classifications
LC ClassificationsQA644 .F66 1990
The Physical Object
Pagination2 v. :
ID Numbers
Open LibraryOL2189169M
ISBN 102881247024, 2881247008, 2881247016
LC Control Number89007443

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Anthropologist Maggie Paxson says her book The Plateau is about studying peace, which is a hard thing to do, she says. She attempts it via people who take in strangers. It is about a seemingly unusual area of France where locals have sheltered refugees to protect them from evil forces/5.   That's the central question at the heart of Maggie Paxson's new book, "The Plateau." It's about a remote region in Southern France called Plateau Vivarais-Lignon. During World . Book Description: This book is meant to give an account of recent developments in the theory of Plateau's problem for parametric minimal surfaces and surfaces of prescribed constant mean curvature ("H-surfaces") and its analytical framework. Part of the Mathematics and Its Applications book series (MAIA, volume ) Abstract We saw that the Dirichlet integral D is w.l.s.c., but it has another important property called coercivity which plays an important role in solution of the Plateau problem.

Plateau’s problem is not a single conjecture or theorem, but rather an abstract framework, encompassing a number of different problems in several related areas of mathematics. Riveting, multilayered, and intensely personal, The Plateau is a deeply inspiring journey into the central conundrum of our time. In mathematics, Plateau's problem is to show the existence of a minimal surface with a given boundary, a problem raised by Joseph-Louis Lagrange in However, it is named after Joseph Plateau who experimented with soap films. The problem is considered part of the calculus of variations. The Plateau is exquisite, excruciating, fearless – a book not only for these times, when our need for understanding is so great, but for all times.

the Plateau problem; these are reviewed in ref. 8. Thepresentdiscussiontreats thespecialclassofinstances ofthe Plateau problem, first described by Rad6 (2), which satisfy thefollowingconditions: (i) theorthogonalprojection Fofthe givenboundaryr* ontothexyplaneis simple (i.e., non-self-intersecting), and(ii) the solutionD*admitsafunc-. The Plateau problem is related to the isoperimetric problem, dating to ancient Greece, which concerns finding the shape of the closed plane curve having a given length and enclosing the maximum area. (In the absence of any restriction on shape, the curve is a circle.). Plateau's problem is the problem of nding a minimal surface with a given boundary contour. It was rst formulated by Lagrange () in a rather re-stricted setting; Plateau showed by experiments that a minimal surface can be physically obtained in the form of a soap lm stretched on a wire framework.   Stories about ordinary people risking their lives during wartime to help persecuted strangers fill the pages of The Plateau, a new book by anthropologist Maggie .