From vectors to tensors

Lehrbuch

This textbook, deals with tensors that are treated as vectors, and has a practical orientation. In addition to dealing with the classical topics of tensor books, new tensor concepts are introduced, such as the rotation of tensors, the transposer tensor, the eigentensors, the permutation tensor structure, etc. The book covers an existing gap between the classic theory of tensors and the possibility of solving tensor problems with a computer. In fact, the computational algebra is formulated in matrix form to facilitate its implementation on computers. For the first time tensor contraction is formulated in terms of matrix operations. A computer package, written in Mathematica, is available through Internet that complements the book.   In summary, the book is not a standard book on tensors because of its orientation, the many novel contributions included in it, the careful notation and the stretching-condensing techniques used for most of the transformations used in the book. TOC:Tensor Spaces.- Introduction to Tensors.- Homogeneous Tensors.- Change of Basis in Tensor Spaces.- Homogeneous Tensor Algebra: Tensor Homomorphisms.- Symmetric Homogeneous Tensors.- Anti-symmetric Homogeneous Tensors.- Pseudotensors, Modular, Relative or Weighted Tensors.- Exterior Algebras.- Mixed Exterior Algebras.- Euclidean Homogeneous Tensors.- Modular Tensors Over Euclidean Spaces.- Euclidean Exterior Algebra.- Affine Tensors.

Angaben zum Objekt

• Standort: Deutsche Nationalbibliothek Frankfurt am Main
• ISBN: 9783540228875 ; 354022887X
• Maße: 24 cm
• Umfang: XVI, 670 S.
• Sprache: Englisch
• Anmerkungen: graph.. Darst. ; Literaturverz. S. 659 - 662

Klassifikation und Themen

• Klassifikation: Mathematik
• Schlagwort: Tensoralgebra

Beteiligte, Orts- und Zeitangaben

• Ereignis: Veröffentlichung
• (wo): Berlin, Heidelberg, New York
• (wer): Springer
• (wann): 2005
• Urheber: Ruíz-Tolosa, Juan Ramón ; Castillo, Enrique

Weitere Informationen

• Inhaltsverzeichnis: https://d-nb.info/971870446/04
• Rechteinformation: Bei diesem Objekt liegt nur das Inhaltsverzeichnis digital vor. Der Zugriff darauf ist unbeschränkt möglich.
• Letzte Aktualisierung: 11.06.2025, 14:18 MESZ