| 000 | 02563nam a22004575i 4500 | ||
|---|---|---|---|
| 001 | 978-3-031-62384-4 | ||
| 003 | DE-He213 | ||
| 005 | 20251030112618.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 240708s2024 sz | s |||| 0|eng d | ||
| 020 |
_a9783031623844 _9978-3-031-62384-4 |
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| 024 | 7 |
_a10.1007/978-3-031-62384-4 _2doi |
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| 050 | 4 | _aQA641-670 | |
| 072 | 7 |
_aPBMP _2bicssc |
|
| 072 | 7 |
_aMAT012030 _2bisacsh |
|
| 072 | 7 |
_aPBMP _2thema |
|
| 100 | 1 |
_aAraújo, Paulo Ventura. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _980187 |
|
| 245 | 1 | 0 |
_aDifferential Geometry _h[electronic resource] / _cby Paulo Ventura Araújo. |
| 250 | _a1st ed. 2024. | ||
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2024. |
|
| 300 |
_aVIII, 185 p. _bonline resource. |
||
| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 505 | 0 | _aPreface -- Differentiable Curves -- Regular Surfaces -- The Geometry of the Gauss Map -- The Intrinsic Geometry of Surfaces -- The Global Geometry of Surfaces -- References -- Index. | |
| 520 | _aThis textbook provides a concise introduction to the differential geometry of curves and surfaces in three-dimensional space, tailored for undergraduate students with a solid foundation in mathematical analysis and linear algebra. The book emphasizes the geometric content of the subject, aiming to quickly cover fundamental topics such as the isoperimetric inequality and the Gauss–Bonnet theorem. This approach allows the author to extend beyond the typical content of introductory books and include additional important geometric results, such as curves and surfaces of constant width, the classification of complete surfaces of non-negative constant curvature, and Hadamard's theorem on surfaces of non-positive curvature. This range of topics offers greater variety for an introductory course. | ||
| 650 | 0 |
_aGeometry, Differential. _969684 |
|
| 650 | 1 | 4 |
_aDifferential Geometry. _969686 |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031623837 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031623851 |
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-031-62384-4 |
| 912 | _aZDB-2-SMA | ||
| 912 | _aZDB-2-SXMS | ||
| 999 |
_c61422 _d61422 |
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