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Differential Geometry From Elastic Curves To Willmore Surfaces Compact Textbooks In Mathematics 1st Edition Ulrich Pinkall

  • SKU: BELL-55536494
Differential Geometry From Elastic Curves To Willmore Surfaces Compact Textbooks In Mathematics 1st Edition Ulrich Pinkall
$ 31.00 $ 45.00 (-31%)

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Differential Geometry From Elastic Curves To Willmore Surfaces Compact Textbooks In Mathematics 1st Edition Ulrich Pinkall instant download after payment.

Publisher: Birkhäuser
File Extension: PDF
File size: 6.96 MB
Pages: 214
Author: Ulrich Pinkall, Oliver Gross
ISBN: 9783031398377, 3031398378
Language: English
Year: 2024
Edition: 1

Product desciption

Differential Geometry From Elastic Curves To Willmore Surfaces Compact Textbooks In Mathematics 1st Edition Ulrich Pinkall by Ulrich Pinkall, Oliver Gross 9783031398377, 3031398378 instant download after payment.

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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