From Vectors to Tensors

• Κύριοι συγγραφείς: Ruíz-Tolosa, Juan Ramón (Συγγραφέας), Castillo, Enrique (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
• Σειρά: Universitext
• Θέματα: Computer science.; Computers.; Algebra.; Matrix theory.; Physics.; Applied mathematics.; Engineering mathematics.; Computer Science.; Theory of Computation.; Physics, general.; Linear and Multilinear Algebras, Matrix Theory.; Theoretical, Mathematical and Computational Physics.; Appl.Mathematics/Computational Methods of Engineering.

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...

Πίνακας περιεχομένων:

• 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.