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Geometrical properties of vectors and convectors : an introductory survey of differentiable manifolds, tensors and forms /

This is a brief introduction to some geometrical topics including topological spaces, the metric tensor, Euclidean space, manifolds, tensors, r- forms, the orientation of a manifold and the Hodge star operator. It provides the reader who is approaching the subject for the first time with a deeper un...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Domingos, Joaquim M.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Hackensack, NJ : World Scientific, ©2006.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Topological spaces
  • 2. Metric tensor
  • 3. Differentiable manifolds. 3.1 Basic definitions. 3.2. Tangent vectors and spaces. 3.3. Parallelization
  • 4. Metric dual
  • 5. Tensors
  • 6. r-Forms
  • 7. Orientation of a manifold
  • 8. Hodge star operator
  • 9. Wedge product and cross product.