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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 langua...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Cambridge University Press,
2010.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Part I. Motivation and Background. The case for differential geometry
- Vector and affine spaces
- Tensor algebras and multivectors
- Part II. Differential Geometry. Differentiable manifolds
- Lie derivatives, Lie groups, Lie algebras
- Integration and fluxes
- Part III. Further Topics. Fibre bundles
- Inhomogeneity theory
- Connection, curvature, torsion
- Appendix A.A primer in continuum mechanics.