Tensor Analysis and Continuum Mechanics:
Through several centuries there has been a lively interaction between mathematics and mechanics. On the one side, mechanics has used mathemat ics to formulate the basic laws and to apply them to a host of problems that call for the quantitative prediction of the consequences of some action. On the...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1972
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| Schlagworte: | |
| Online-Zugang: | BTU01 Volltext |
| Zusammenfassung: | Through several centuries there has been a lively interaction between mathematics and mechanics. On the one side, mechanics has used mathemat ics to formulate the basic laws and to apply them to a host of problems that call for the quantitative prediction of the consequences of some action. On the other side, the needs of mechanics have stimulated the development of mathematical concepts. Differential calculus grew out of the needs of Newtonian dynamics; vector algebra was developed as a means . to describe force systems; vector analysis, to study velocity fields and force fields; and the calcul~s of variations has evolved from the energy principles of mechan ics. In recent times the theory of tensors has attracted the attention of the mechanics people. Its very name indicates its origin in the theory of elasticity. For a long time little use has been made of it in this area, but in the last decade its usefulness in the mechanics of continuous media has been widely recognized. While the undergraduate textbook literature in this country was becoming "vectorized" (lagging almost half a century behind the development in Europe), books dealing with various aspects of continuum mechanics took to tensors like fish to water. Since many authors were not sure whether their readers were sufficiently familiar with tensors~ they either added' a chapter on tensors or wrote a separate book on the subject |
| Beschreibung: | 1 Online-Ressource (VIII, 207 p) |
| ISBN: | 9783642883828 |
| DOI: | 10.1007/978-3-642-88382-8 |
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| 520 | |a Through several centuries there has been a lively interaction between mathematics and mechanics. On the one side, mechanics has used mathemat ics to formulate the basic laws and to apply them to a host of problems that call for the quantitative prediction of the consequences of some action. On the other side, the needs of mechanics have stimulated the development of mathematical concepts. Differential calculus grew out of the needs of Newtonian dynamics; vector algebra was developed as a means . to describe force systems; vector analysis, to study velocity fields and force fields; and the calcul~s of variations has evolved from the energy principles of mechan ics. In recent times the theory of tensors has attracted the attention of the mechanics people. Its very name indicates its origin in the theory of elasticity. For a long time little use has been made of it in this area, but in the last decade its usefulness in the mechanics of continuous media has been widely recognized. While the undergraduate textbook literature in this country was becoming "vectorized" (lagging almost half a century behind the development in Europe), books dealing with various aspects of continuum mechanics took to tensors like fish to water. Since many authors were not sure whether their readers were sufficiently familiar with tensors~ they either added' a chapter on tensors or wrote a separate book on the subject | ||
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Datensatz im Suchindex
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| doi_str_mv | 10.1007/978-3-642-88382-8 |
| format | Electronic eBook |
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| id | DE-604.BV045186454 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:10:57Z |
| institution | BVB |
| isbn | 9783642883828 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030575631 |
| oclc_num | 1184737358 |
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| owner | DE-634 |
| owner_facet | DE-634 |
| physical | 1 Online-Ressource (VIII, 207 p) |
| psigel | ZDB-2-ENG ZDB-2-ENG_Archiv ZDB-2-ENG ZDB-2-ENG_Archiv |
| publishDate | 1972 |
| publishDateSearch | 1972 |
| publishDateSort | 1972 |
| publisher | Springer Berlin Heidelberg |
| record_format | marc |
| spelling | Flügge, Wilhelm Verfasser aut Tensor Analysis and Continuum Mechanics by Wilhelm Flügge Berlin, Heidelberg Springer Berlin Heidelberg 1972 1 Online-Ressource (VIII, 207 p) txt rdacontent c rdamedia cr rdacarrier Through several centuries there has been a lively interaction between mathematics and mechanics. On the one side, mechanics has used mathemat ics to formulate the basic laws and to apply them to a host of problems that call for the quantitative prediction of the consequences of some action. On the other side, the needs of mechanics have stimulated the development of mathematical concepts. Differential calculus grew out of the needs of Newtonian dynamics; vector algebra was developed as a means . to describe force systems; vector analysis, to study velocity fields and force fields; and the calcul~s of variations has evolved from the energy principles of mechan ics. In recent times the theory of tensors has attracted the attention of the mechanics people. Its very name indicates its origin in the theory of elasticity. For a long time little use has been made of it in this area, but in the last decade its usefulness in the mechanics of continuous media has been widely recognized. While the undergraduate textbook literature in this country was becoming "vectorized" (lagging almost half a century behind the development in Europe), books dealing with various aspects of continuum mechanics took to tensors like fish to water. Since many authors were not sure whether their readers were sufficiently familiar with tensors~ they either added' a chapter on tensors or wrote a separate book on the subject Engineering Continuum Mechanics and Mechanics of Materials Mechanics Continuum mechanics Kontinuumsmechanik (DE-588)4032296-8 gnd rswk-swf Tensoranalysis (DE-588)4204323-2 gnd rswk-swf Tensoranalysis (DE-588)4204323-2 s Kontinuumsmechanik (DE-588)4032296-8 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9783642883842 https://doi.org/10.1007/978-3-642-88382-8 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Flügge, Wilhelm Tensor Analysis and Continuum Mechanics Engineering Continuum Mechanics and Mechanics of Materials Mechanics Continuum mechanics Kontinuumsmechanik (DE-588)4032296-8 gnd Tensoranalysis (DE-588)4204323-2 gnd |
| subject_GND | (DE-588)4032296-8 (DE-588)4204323-2 |
| title | Tensor Analysis and Continuum Mechanics |
| title_auth | Tensor Analysis and Continuum Mechanics |
| title_exact_search | Tensor Analysis and Continuum Mechanics |
| title_full | Tensor Analysis and Continuum Mechanics by Wilhelm Flügge |
| title_fullStr | Tensor Analysis and Continuum Mechanics by Wilhelm Flügge |
| title_full_unstemmed | Tensor Analysis and Continuum Mechanics by Wilhelm Flügge |
| title_short | Tensor Analysis and Continuum Mechanics |
| title_sort | tensor analysis and continuum mechanics |
| topic | Engineering Continuum Mechanics and Mechanics of Materials Mechanics Continuum mechanics Kontinuumsmechanik (DE-588)4032296-8 gnd Tensoranalysis (DE-588)4204323-2 gnd |
| topic_facet | Engineering Continuum Mechanics and Mechanics of Materials Mechanics Continuum mechanics Kontinuumsmechanik Tensoranalysis |
| url | https://doi.org/10.1007/978-3-642-88382-8 |
| work_keys_str_mv | AT fluggewilhelm tensoranalysisandcontinuummechanics |