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Differential geometryfrom elastic curves to Willmore surfaces /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Differential geometryby Ulrich Pinkall, Oliver Gross.
Reminder of title:	from elastic curves to Willmore surfaces /
Author:	Pinkall, Ulrich.
other author:	Gross, Oliver.
Published:	Cham :Springer International Publishing :2024.
Description:	xi, 203 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Geometry, Differential.
Online resource:	https://doi.org/10.1007/978-3-031-39838-4
ISBN:	9783031398384$q(electronic bk.)

Differential geometryfrom 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$q(electronic bk.)

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

182610
Geometry, Differential.

LC Class. No.: QA641

Dewey Class. No.: 516.36

Differential geometryfrom elastic curves to Willmore surfaces /
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245 1 0 $a Differential geometry $h [electronic resource] : $b from elastic curves to Willmore surfaces / $c by Ulrich Pinkall, Oliver Gross.
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520 $a 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.
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