Elementare Differentialgeometrie:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Berlin [u.a.]
de Gruyter
2001
|
| Schriftenreihe: | De-Gruyter-Lehrbuch
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 281 S. Ill., graph. Darst. |
| ISBN: | 3110155192 3110155206 |
Internformat
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| 245 | 1 | 0 | |a Elementare Differentialgeometrie |c Christian Bär |
| 264 | 1 | |a Berlin [u.a.] |b de Gruyter |c 2001 | |
| 300 | |a XII, 281 S. |b Ill., graph. Darst. | ||
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Datensatz im Suchindex
| _version_ | 1811796007141244928 |
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| adam_text |
Inhaltsverzeichnis
Vorwort
Bezeichnungen xi
1 Euklidische Geometrie 1
1.1 Der
1.2 Das kartesische Modell. 16
2 Kurventheorie 25
2.1 Kurven im
2.2 Ebene Kurven. 39
2.3 Raumkurven. 65
3 Klassische Flächentheorie 92
3.1 Reguläre Flächen. 92
3.2 Die Tangentialebene . 106
3.3 Die erste Fundamentalform. 110
3.4 Normalenfelder und Orientierbarkeit. 115
3.5 Die zweite Fundamentalform. 118
3.6 Krümmung. 122
3.7 Flächeninhalt und Integration auf Flächen. 139
3.8 Einige Klassen von Flächen. 146
3.8.1 Regelflächen. 146
x
3.8.2 Minimalflächen.149
3.8.3 Drehflächen.156
3.8.4 Röhrenflächen.159
4 Innere Geometrie von Flächen 162
4.1 Isometrien.162
4.2 Vektorfelder und kovariante Ableitung.165
4.3 Krümmungstensor und
4.4 Riemannsche Metriken.182
4.5 Geodätische.185
4.6 Exponentialabbildung.197
4.7 Parallelverschiebung.206
4.8 Jacobi-Felder.210
4.9 Sphärische und hyperbolische Geometrie .215
4.10 Der Divergenzsatz.225
4.11 Variation der Metrik.235
5
5.1 Polyeder. 241
5.2 Triangulierungen. 245
5.3 Der Satz von Gauß-Bonnet. 261
5.4 Ausblicke. 264
Formelsammlung 269
Symbolverzeichnis 273
Literaturverzeichnis 275
Index 277 |
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| discipline | Mathematik |
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| illustrated | Illustrated |
| indexdate | 2024-10-02T10:01:58Z |
| institution | BVB |
| isbn | 3110155192 3110155206 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009194591 |
| oclc_num | 248700400 |
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| physical | XII, 281 S. Ill., graph. Darst. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | de Gruyter |
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| series2 | De-Gruyter-Lehrbuch |
| spelling | Bär, Christian 1962- Verfasser (DE-588)122489624 aut Elementare Differentialgeometrie Christian Bär Berlin [u.a.] de Gruyter 2001 XII, 281 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier De-Gruyter-Lehrbuch Geometry, Differential Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Differentialgeometrie (DE-588)4012248-7 s DE-604 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009194591&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bär, Christian 1962- Elementare Differentialgeometrie Geometry, Differential Differentialgeometrie (DE-588)4012248-7 gnd |
| subject_GND | (DE-588)4012248-7 (DE-588)4123623-3 |
| title | Elementare Differentialgeometrie |
| title_auth | Elementare Differentialgeometrie |
| title_exact_search | Elementare Differentialgeometrie |
| title_full | Elementare Differentialgeometrie Christian Bär |
| title_fullStr | Elementare Differentialgeometrie Christian Bär |
| title_full_unstemmed | Elementare Differentialgeometrie Christian Bär |
| title_short | Elementare Differentialgeometrie |
| title_sort | elementare differentialgeometrie |
| topic | Geometry, Differential Differentialgeometrie (DE-588)4012248-7 gnd |
| topic_facet | Geometry, Differential Differentialgeometrie Lehrbuch |
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