| 000 | 02582nam a22004935i 4500 | ||
|---|---|---|---|
| 001 | 978-3-031-39838-4 | ||
| 003 | DE-He213 | ||
| 005 | 20240508090327.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 240213s2024 sz | s |||| 0|eng d | ||
| 020 |
_a9783031398384 _9978-3-031-39838-4 |
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| 024 | 7 |
_a10.1007/978-3-031-39838-4 _2doi |
|
| 050 | 4 | _aQA641-670 | |
| 072 | 7 |
_aPBMP _2bicssc |
|
| 072 | 7 |
_aMAT012030 _2bisacsh |
|
| 072 | 7 |
_aPBMP _2thema |
|
| 082 | 0 | 4 |
_a516.36 _223 |
| 100 | 1 |
_aPinkall, Ulrich. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
| 245 | 1 | 0 |
_aDifferential Geometry _h[electronic resource] : _bFrom Elastic Curves to Willmore Surfaces / _cby Ulrich Pinkall, Oliver Gross. |
| 250 | _a1st ed. 2024. | ||
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Birkhäuser, _c2024. |
|
| 300 |
_aXI, 203 p. 80 illus., 66 illus. in color. _bonline resource. |
||
| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
||
| 490 | 1 |
_aCompact Textbooks in Mathematics, _x2296-455X |
|
| 506 | 0 | _aOpen Access | |
| 520 | _aThis 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 | _aGeometry, Differential. | |
| 650 | 1 | 4 | _aDifferential Geometry. |
| 700 | 1 |
_aGross, Oliver. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031398377 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031398391 |
| 830 | 0 |
_aCompact Textbooks in Mathematics, _x2296-455X |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-031-39838-4 |
| 912 | _aZDB-2-SMA | ||
| 912 | _aZDB-2-SXMS | ||
| 912 | _aZDB-2-SOB | ||
| 999 |
_c37781 _d37781 |
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