An introduction to tensor calculus:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Groningen
Wolters-Noordhoff
1971
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 152 S. graph. Darst. |
Staff View
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| 245 | 1 | 0 | |a An introduction to tensor calculus |
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Record in the Search Index
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| adam_text | CONTENTS
Preface vii
I. INVARIANT FORMULATION
1. Space, coordinate systems 2
2. Transformation of coordinates 4
3. Indicial notation 7
4. Invariants, scalars, vectors 11
5. Laws of transformation 17
6. Dot product, Riemannian space 24
7. Reciprocal contravariant base vectors in RN 31
8. Riemannian tensors 39
9. Algebra of Riemannian tensors 44
10. Cartesian components 51
11. Vectors cross product in E3 56
12. Triple vector product in E3 64
13. Physical components and vector projections in E3 67
14. Tensor equations 73
II. COVARIANT DIFFERENTIATION
15. Derivatives of base vectors 75
16. Derivatives of Riemannian tensors 81
17. Covariant differentiation in mechanics 85
18. Covariant differentiation in EN 97
19. Local coordinate systems in Rs 100
VI CONTENTS
20. Intrinsic derivatives 104
21. The vector operator Del 109
22. Applications of the operator Del 119
23. Riemann Christoffel tensor 124
24. Surface geometry 127
Summary 135
Appendix, Answers 143
Bibliography 149
Index 150
|
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| indexdate | 2024-07-09T16:33:08Z |
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| spelling | Mercier, Jacques L. Verfasser aut An introduction to tensor calculus Groningen Wolters-Noordhoff 1971 VIII, 152 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Calcul tensoriel Calculus of tensors Tensorrechnung (DE-588)4192487-3 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Tensorrechnung (DE-588)4192487-3 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003551875&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mercier, Jacques L. An introduction to tensor calculus Calcul tensoriel Calculus of tensors Tensorrechnung (DE-588)4192487-3 gnd |
| subject_GND | (DE-588)4192487-3 (DE-588)4151278-9 |
| title | An introduction to tensor calculus |
| title_auth | An introduction to tensor calculus |
| title_exact_search | An introduction to tensor calculus |
| title_full | An introduction to tensor calculus |
| title_fullStr | An introduction to tensor calculus |
| title_full_unstemmed | An introduction to tensor calculus |
| title_short | An introduction to tensor calculus |
| title_sort | an introduction to tensor calculus |
| topic | Calcul tensoriel Calculus of tensors Tensorrechnung (DE-588)4192487-3 gnd |
| topic_facet | Calcul tensoriel Calculus of tensors Tensorrechnung Einführung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003551875&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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