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＜電子ブック＞
Differential Geometry : From Elastic Curves to Willmore Surfaces / by Ulrich Pinkall, Oliver Gross
(Compact Textbooks in Mathematics. ISSN:2296455X)

版	1st ed. 2024.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2024
本文言語	英語
大きさ	XI, 203 p. 80 illus., 66 illus. in color : online resource
著者標目	*Pinkall, Ulrich author Gross, Oliver author SpringerLink (Online service)
件　名	LCSH:Geometry, Differential FREE:Differential Geometry
一般注記	Open Access This open access book covers the main topics for a course on the differential geometry of curves and surfaces. Unlike the common approach in existing textbooks, there is a strong focus on variational problems, ranging from elastic curves to surfaces that minimize area, or the Willmore functional. Moreover, emphasis is given on topics that are useful for applications in science and computer graphics. Most often these applications are concerned with finding the shape of a curve or a surface that minimizes physically meaningful energy. Manifolds are not introduced as such, but the presented approach provides preparation and motivation for a follow-up course on manifolds, and topics like the Gauss-Bonnet theorem for compact surfaces are covered HTTP:URL=https://doi.org/10.1007/978-3-031-39838-4

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