From Vectors to Tensors

It is true that there exist many books dedicated to linear algebra and some­ what fewer to multilinear algebra, written in several languages, and perhaps one can think that no more books are needed. However, it is also true that in algebra many new results are continuously appearing, different point...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Ruiz-Tolosa, Juan R. (Autor), Castillo, Enrique (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2005.
Edición:1st ed. 2005.
Colección:Universitext,
Temas:
Computer science.
Algebra.
Physics.
Astronomy.
Algebras, Linear.
Mathematical physics.
Engineering mathematics.
Engineering-Data processing.
Theory of Computation.
Physics and Astronomy.
Linear Algebra.
Theoretical, Mathematical and Computational Physics.
Mathematical and Computational Engineering Applications.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Basic Tensor Algebra
  • Tensor Spaces
  • to Tensors
  • Homogeneous Tensors
  • Change-of-basis in Tensor Spaces
  • Homogeneous Tensor Algebra: Tensor Homomorphisms
  • Special Tensors
  • Symmetric Homogeneous Tensors: Tensor Algebras
  • Anti-symmetric Homogeneous Tensors, Tensor and Inner Product Algebras
  • Pseudotensors; Modular, Relative or Weighted Tensors
  • Exterior Algebras
  • Exterior Algebras: Totally Anti-symmetric Homogeneous Tensor Algebras
  • Mixed Exterior Algebras
  • Tensors over Linear Spaces with Inner Product
  • Euclidean Homogeneous Tensors
  • Modular Tensors over En (IR) Euclidean Spaces
  • Euclidean Exterior Algebra
  • Classic Tensors in Geometry and Mechanics
  • Affine Tensors.

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