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Book Cover
Author Ruíz-Tolosa, Juan Ramón.

Title From vectors to tensors / Juan Ramón Ruíz-Tolosa, Enrique Castillo
Published Berlin ; New York : Springer, [2005]
Online access available from:
Springer eBooks    View Resource Record  


Description 1 online resource (xvi, 670 pages) : illustrations
Series Universitext
Contents 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
Summary "This textbook deals with tensors that are treated as vectors, and its orientation is practical. In addition to dealing with the classical topics of standard books on tensors, it introduces new tensor concepts, such as the rotation of tensors, the transposer tensor, the eigentensors, the permutation tensor structure. The book bridges a gap between the classical theory of tensors and the possibility of solving tensor problems with a computer."--Jacket
Bibliography Includes bibliographical references (pages 659-662) and index
Notes Print version record
Subject Calculus of tensors -- Textbooks.
Tensor algebra -- Textbooks.
Vector algebra -- Textbooks.
Genre/Form Textbooks.
Form Electronic book
Author Castillo, Enrique, 1946-
LC no. 2004114044
ISBN 354022887X (softcover ; alk. paper)
9783540228875 (softcover ; alk. paper)