Differential Geometry From Elastic Curves to Willmore Surfaces /
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. Mo...
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| Main Authors: | , |
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| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Birkhäuser,
2024.
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| Edition: | 1st ed. 2024. |
| Series: | Compact Textbooks in Mathematics,
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| Subjects: | |
| Online Access: | Link to Metadata |
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| 001 | 978-3-031-39838-4 | ||
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| 024 | 7 | |a 10.1007/978-3-031-39838-4 |2 doi | |
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| 100 | 1 | |a Pinkall, Ulrich. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Differential Geometry |h [electronic resource] : |b From Elastic Curves to Willmore Surfaces / |c by Ulrich Pinkall, Oliver Gross. |
| 250 | |a 1st ed. 2024. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Birkhäuser, |c 2024. | |
| 300 | |a XI, 203 p. 80 illus., 66 illus. in color. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Compact Textbooks in Mathematics, |x 2296-455X | |
| 506 | 0 | |a Open Access | |
| 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. | ||
| 650 | 0 | |a Geometry, Differential. | |
| 650 | 1 | 4 | |a Differential Geometry. |
| 700 | 1 | |a Gross, Oliver. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783031398377 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031398391 |
| 830 | 0 | |a Compact Textbooks in Mathematics, |x 2296-455X | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-031-39838-4 |z Link to Metadata |
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| 912 | |a ZDB-2-SXMS | ||
| 912 | |a ZDB-2-SOB | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||