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oapen-20.500.12657-88305
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dspace
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oapen-20.500.12657-883052024-03-28T14:02:53Z Differential Geometry Pinkall, Ulrich Gross, Oliver Differential Geometry Surfaces Curves Elastic Minimal Willmore Variational Calculus Riemannian Geometry thema EDItEUR::P Mathematics and Science::PB Mathematics::PBM Geometry::PBMP Differential and Riemannian geometry 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. 2024-03-13T11:09:58Z 2024-03-13T11:09:58Z 2024 book ONIX_20240313_9783031398384_13 9783031398384 9783031398377 https://library.oapen.org/handle/20.500.12657/88305 eng Compact Textbooks in Mathematics application/pdf n/a 978-3-031-39838-4.pdf https://link.springer.com/978-3-031-39838-4 Springer Nature Birkhäuser 10.1007/978-3-031-39838-4 10.1007/978-3-031-39838-4 6c6992af-b843-4f46-859c-f6e9998e40d5 3358520f-7ab2-42ab-80ef-88a2dbe6a901 f5e85b6c-dd8b-4bb3-a493-22723c79d368 9783031398384 9783031398377 Birkhäuser 203 Cham [...] [...] Deutsche Forschungsgemeinschaft German Research Association Technische Universität Berlin TU Berlin open access
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| institution |
OAPEN
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DSpace
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| language |
English
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| description |
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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| title |
978-3-031-39838-4.pdf
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| spellingShingle |
978-3-031-39838-4.pdf
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| title_short |
978-3-031-39838-4.pdf
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| title_full |
978-3-031-39838-4.pdf
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| title_fullStr |
978-3-031-39838-4.pdf
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| title_full_unstemmed |
978-3-031-39838-4.pdf
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| title_sort |
978-3-031-39838-4.pdf
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| publisher |
Springer Nature
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| publishDate |
2024
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| url |
https://link.springer.com/978-3-031-39838-4
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| _version_ |
1799945254665715712
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