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Elements of the Geometry and Topology of Minimal Surfaces in Three-Dimensional Space.(Translations of Mathematical Monographs　Vo

Fomenko, A.T., Tuzhilin, A.A. 　著

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発行年月	1991年01月
出版社／提供元	American Mathematical Society
出版国	アメリカ合衆国
言語	英語
媒体	冊子
装丁	hardcover
ページ数／巻数	viii, 142 p.
ジャンル	洋書／理工学／数学／幾何学
ISBN	9780821845523
商品コード	0209126764
本の性格	学術書
商品URL	https://kw.maruzen.co.jp/ims/itemDetail.html?itmCd=0209126764

内容

A series of lectures (translated from the Russian) delivered toadvanced students of mathematics and physics at the U. of Moscow (nodate noted). Explains the fundamentals of the mathematics used toinvestigate soap films and bubbles, membranes of living cells,capillary action, and other interfaces encountered in chemistry,biology, and sometimes

Physical prerequisites: Interfaces between two media; The principle ofeconomy in nature; Classical minimal surfaces in R3: Catenoids; Thehelicoid; The minimal surface equation, Bernstein's problem, The Scherksurface; Periodic minimal surfaces; Complete minimal surfaces; Generalproperties of minimal surfaces in R3: Isothermal coordinates;Harmonicity and conformality; The Gaussian mapping and the Weierstrassrepresentation; The global Weierstrass representation; Total curvatureand complete minimal surfaces; The geometry of complete minimalsurfaces of finite total curvature; Indices of two-dimensional minimalsurfaces in R3.

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