The Plateau Problem, Part I: Historical Survey (Studies in the Development of Modern Mathematics)
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Description
Charting the historical origins of thr Plateau problem, the author discusses substantial extracts from 18th, 19th and early 20th century works devoted to the investigation of minimal surfaces, including Plateau's famous physical experiments. The theories of homology and co-homology, necessary for an understanding of modern multi-dimensional variational problems, are elucidated.
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