Einführung in die Tensoranalysis:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Mannheim
Bibliographisches Institut
1966
|
| Series: | BI-Hochschultaschenbücher
77 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 157 S. |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804116374805544960 |
|---|---|
| adam_text | INHALTSVERZEICHNIS Seite
Vorwort 5
Erster Teil: Tensorkalkül
Kapitel I: Vektorräume
I. Der Begriff des Vektorraumes 7
II. Endlich-dimensionale Vektorräume 10
III. Dualität 15
IV. Der euklidische Vektorraum 17
Kapitel II: Affine und euklidische Punkträume 27
Kapitel III: Tensoralgebra
I. Das Tensorprodukt 31
II. Affine Tensoren 33
III. Euklidische Tensoren 41
IV. Grundlagen der äußeren Algebra 46
Kapitel IV: Der euklidische Raum in krummlinigen Koordinaten
I. Ableitung und Differential eines Vektors oder Punktes 53
II. Krummlinige Koordinaten im euklidischen Punktraum 55
III. Die Christoffelsymbole 59
IV. Absolutes Differential und kovariante Ableitung 64
V. Differentialoperatoren in krummlinigen Koordinaten 68
Kapitel V: Riemannsche Räume
I. Tangentiale und oskulierende euklidische Metriken 71
II. Die begleitende euklidische Metrik 81
III. Der Krümmungstensor eines Riemannschcn Raumes 84
Zweiter Teil: Anwendungen
Kapitel VI: Tensorkalkiil und klassische Dynamik
I. Die Dynamik holonomer Systeme mit zeitunabhängigen
Bindungen 93
II. Die Dynamik holonomer Systeme mit zeitabhängigen
Bindungen 100
III. Kontinuumsmechanik 105
Kapitel VII: Die spezielle Relativitätstheorie und die
Mitxwcllsclien Gleichungen
I. Die Grundlagen der Theorie 113
II. Die Lorentz-Gruppe und die Minkowskische Raum-Zeit 116
III. Die Dynamik der speziellen Relativitätstheorie 125
IV. Die relativistische Kontinuumsmechanik 132
V. Die Gleichungen von Maxwell-Lorentz 136
Kapitel VIII: Grundlagen der allgemeinen Relativitätstheorie 148
Literaturhinweise 154
Sachregister 156
|
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| author | Lichnerowicz, André 1915-1998 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 370 |
| classification_tum | MAT 535f |
| ctrlnum | (OCoLC)8247534 (DE-599)BVBBV001934887 |
| discipline | Mathematik |
| format | Book |
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| genre | (DE-588)4151278-9 Einführung gnd-content |
| genre_facet | Einführung |
| id | DE-604.BV001934887 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:37:30Z |
| institution | BVB |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001261175 |
| oclc_num | 8247534 |
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| physical | 157 S. |
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| publishDate | 1966 |
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| spelling | Lichnerowicz, André 1915-1998 Verfasser (DE-588)121741729 aut Éléments de calcul tensoriel Einführung in die Tensoranalysis von A. Lichnerowicz. Dtsche Uebers. von Erhard Heil Mannheim Bibliographisches Institut 1966 157 S. txt rdacontent n rdamedia nc rdacarrier BI-Hochschultaschenbücher 77 Analyse (wiskunde) gtt Tensoren gtt Calculus of tensors Tensorrechnung (DE-588)4192487-3 gnd rswk-swf Tensoranalysis (DE-588)4204323-2 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Tensoranalysis (DE-588)4204323-2 s DE-604 Tensorrechnung (DE-588)4192487-3 s 1\p DE-604 Heil, Erhard Sonstige oth BI-Hochschultaschenbücher 77 (DE-604)BV038743443 77 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001261175&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lichnerowicz, André 1915-1998 Einführung in die Tensoranalysis BI-Hochschultaschenbücher Analyse (wiskunde) gtt Tensoren gtt Calculus of tensors Tensorrechnung (DE-588)4192487-3 gnd Tensoranalysis (DE-588)4204323-2 gnd |
| subject_GND | (DE-588)4192487-3 (DE-588)4204323-2 (DE-588)4151278-9 |
| title | Einführung in die Tensoranalysis |
| title_alt | Éléments de calcul tensoriel |
| title_auth | Einführung in die Tensoranalysis |
| title_exact_search | Einführung in die Tensoranalysis |
| title_full | Einführung in die Tensoranalysis von A. Lichnerowicz. Dtsche Uebers. von Erhard Heil |
| title_fullStr | Einführung in die Tensoranalysis von A. Lichnerowicz. Dtsche Uebers. von Erhard Heil |
| title_full_unstemmed | Einführung in die Tensoranalysis von A. Lichnerowicz. Dtsche Uebers. von Erhard Heil |
| title_short | Einführung in die Tensoranalysis |
| title_sort | einfuhrung in die tensoranalysis |
| topic | Analyse (wiskunde) gtt Tensoren gtt Calculus of tensors Tensorrechnung (DE-588)4192487-3 gnd Tensoranalysis (DE-588)4204323-2 gnd |
| topic_facet | Analyse (wiskunde) Tensoren Calculus of tensors Tensorrechnung Tensoranalysis Einführung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001261175&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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