The geometrical language of continuum mechanics:
Epstein presents the fundamental concepts of modern differential geometry within the framework of continuum mechanics. Divided into three parts of roughly equal length, the book opens with a motivational chapter to impress upon the reader that differential geometry is indeed the natural language of...
Gespeichert in:
| Beteilige Person: | |
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2010
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| Links: | https://doi.org/10.1017/CBO9780511762673 |
| Zusammenfassung: | Epstein presents the fundamental concepts of modern differential geometry within the framework of continuum mechanics. Divided into three parts of roughly equal length, the book opens with a motivational chapter to impress upon the reader that differential geometry is indeed the natural language of continuum mechanics or, better still, that the latter is a prime example of the application and materialisation of the former. In the second part, the fundamental notions of differential geometry are presented with rigor using a writing style that is as informal as possible. Differentiable manifolds, tangent bundles, exterior derivatives, Lie derivatives, and Lie groups are illustrated in terms of their mechanical interpretations. The third part includes the theory of fiber bundles, G-structures, and groupoids, which are applicable to bodies with internal structure and to the description of material inhomogeneity. The abstract notions of differential geometry are thus illuminated by practical and intuitively meaningful engineering applications. |
| Umfang: | 1 Online-Ressource (xii, 312 Seiten) |
| ISBN: | 9780511762673 |
Internformat
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| 520 | |a Epstein presents the fundamental concepts of modern differential geometry within the framework of continuum mechanics. Divided into three parts of roughly equal length, the book opens with a motivational chapter to impress upon the reader that differential geometry is indeed the natural language of continuum mechanics or, better still, that the latter is a prime example of the application and materialisation of the former. In the second part, the fundamental notions of differential geometry are presented with rigor using a writing style that is as informal as possible. Differentiable manifolds, tangent bundles, exterior derivatives, Lie derivatives, and Lie groups are illustrated in terms of their mechanical interpretations. The third part includes the theory of fiber bundles, G-structures, and groupoids, which are applicable to bodies with internal structure and to the description of material inhomogeneity. The abstract notions of differential geometry are thus illuminated by practical and intuitively meaningful engineering applications. | ||
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Datensatz im Suchindex
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| indexdate | 2025-03-03T11:58:07Z |
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| isbn | 9780511762673 |
| language | English |
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| spelling | Epstein, M. The geometrical language of continuum mechanics Marcelo Epstein Cambridge Cambridge University Press 2010 1 Online-Ressource (xii, 312 Seiten) txt c cr Epstein presents the fundamental concepts of modern differential geometry within the framework of continuum mechanics. Divided into three parts of roughly equal length, the book opens with a motivational chapter to impress upon the reader that differential geometry is indeed the natural language of continuum mechanics or, better still, that the latter is a prime example of the application and materialisation of the former. In the second part, the fundamental notions of differential geometry are presented with rigor using a writing style that is as informal as possible. Differentiable manifolds, tangent bundles, exterior derivatives, Lie derivatives, and Lie groups are illustrated in terms of their mechanical interpretations. The third part includes the theory of fiber bundles, G-structures, and groupoids, which are applicable to bodies with internal structure and to the description of material inhomogeneity. The abstract notions of differential geometry are thus illuminated by practical and intuitively meaningful engineering applications. Erscheint auch als Druck-Ausgabe 9780521198554 Erscheint auch als Druck-Ausgabe 9781107617032 |
| spellingShingle | Epstein, M. The geometrical language of continuum mechanics |
| title | The geometrical language of continuum mechanics |
| title_auth | The geometrical language of continuum mechanics |
| title_exact_search | The geometrical language of continuum mechanics |
| title_full | The geometrical language of continuum mechanics Marcelo Epstein |
| title_fullStr | The geometrical language of continuum mechanics Marcelo Epstein |
| title_full_unstemmed | The geometrical language of continuum mechanics Marcelo Epstein |
| title_short | The geometrical language of continuum mechanics |
| title_sort | geometrical language of continuum mechanics |
| work_keys_str_mv | AT epsteinm thegeometricallanguageofcontinuummechanics AT epsteinm geometricallanguageofcontinuummechanics |