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Differential geometry = from elastic curves to Willmore surfaces /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Differential geometry/ by Ulrich Pinkall, Oliver Gross.
其他題名:	from elastic curves to Willmore surfaces /
作者:	Pinkall, Ulrich.
其他作者:	Gross, Oliver.
出版者:	Cham :Springer International Publishing : : 2024.,
面頁冊數:	xi, 203 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Geometry, Differential. -
電子資源:	https://doi.org/10.1007/978-3-031-39838-4
ISBN:	9783031398384

Differential geometry = from elastic curves to Willmore surfaces /
Pinkall, Ulrich.

Differential geometryfrom elastic curves to Willmore surfaces /[electronic resource] :by Ulrich Pinkall, Oliver Gross. - Cham :Springer International Publishing :2024. - xi, 203 p. :ill. (some col.), digital ;24 cm. - Compact textbooks in mathematics,2296-455X. - Compact textbooks in mathematics..

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.

ISBN: 9783031398384

Standard No.: 10.1007/978-3-031-39838-4doiSubjects--Topical Terms:

523835
Geometry, Differential.

LC Class. No.: QA641

Dewey Class. No.: 516.36

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