Differential Geometry
This 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 q...
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| Format: | Elektronski eKnjiga |
| Jezik: | angleščina |
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Cham :
Springer International Publishing : Imprint: Springer,
2024.
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| Izdaja: | 1st ed. 2024. |
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| Online dostop: | https://doi.org/10.1007/978-3-031-62384-4 |
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| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-031-62384-4 | ||
| 003 | DE-He213 | ||
| 005 | 20260810153517.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 240708s2024 sz | o |||| 0|eng d | ||
| 020 | |a 9783031623844 |9 978-3-031-62384-4 | ||
| 024 | 7 | |a 10.1007/978-3-031-62384-4 |2 doi | |
| 050 | 4 | |a QA641-670 | |
| 072 | 7 | |a PBMP |2 bicssc | |
| 072 | 7 | |a MAT012030 |2 bisacsh | |
| 072 | 7 | |a PBMP |2 thema | |
| 082 | 0 | 4 | |a 516.36 |2 23 |
| 100 | 1 | |a Araújo, Paulo Ventura. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Differential Geometry |h [electronic resource] / |c by Paulo Ventura Araújo. |
| 250 | |a 1st ed. 2024. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2024. | |
| 300 | |a 1 online resource (VIII, 185 p.). | ||
| 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 | ||
| 505 | 0 | |a Preface -- Differentiable Curves -- Regular Surfaces -- The Geometry of the Gauss Map -- The Intrinsic Geometry of Surfaces -- The Global Geometry of Surfaces -- References -- Index. | |
| 520 | |a This 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. | ||
| 588 | |a Print version record. | ||
| 650 | 0 | |a Geometry, Differential. | |
| 650 | 1 | 4 | |a Differential Geometry. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783031623837 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031623851 |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-031-62384-4 |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||