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 points...

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Detalhes bibliográficos
Auteurs principaux: Ruíz-Tolosa, Juan Ramón, Castillo, Enrique, 1946- (Auteur)
Formato: Livre numérique
Idioma:Anglais
Publicado em: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Edição:1st ed. 2005.
Colecção:Universitext
Acesso em linha:Accès sur la plateforme de l'éditeur
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Accès Université d'Orléans
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Nota: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• From vectors to tensors, Juan Ramón Ruíz-Tolosa, Enrique Castillo, Berlin, New York, NY, Springer, 2005, 1 vol. (XVI-670 p.), Universitext, 978-3-540-22887-5
• From Vectors to Tensors, Texte imprimé, 9783540803409
• From vectors to tensors, Juan Ramón Ruíz-Tolosa, Enrique Castillo, Berlin, New York, NY, Springer, 2005, 1 vol. (XVI-670 p.), Universitext, 978-3-540-22887-5
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505 1 |a 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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520 |a 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 points of view can be used to see the mathematical objects and their associated structures, and different orientations can be selected to present the material, and all of them deserve publication. Under the leadership of Juan Ramon Ruiz-Tolosa, Professor of multilin ear algebra, and the collaboration of Enrique Castillo, Professor of applied mathematics, both teaching at an engineering school in Santander, a tensor textbook has been born, written from a practical point of view and free from the esoteric language typical of treatises written by algebraists, who are not interested in descending to numerical details. The balance between follow ing this line and keeping the rigor of classical theoretical treatises has been maintained throughout this book. The book assumes a certain knowledge of linear algebra, and is intended as a textbook for graduate and postgraduate students and also as a consultation book. It is addressed to mathematicians, physicists, engineers, and applied scientists with a practical orientation who are looking for powerful tensor tools to solve their problems 
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