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From Vectors to Tensors by Enrique Castillo and Juan Ramon Ruíz-Tolosa (2004, Paperback)

Enrique Castillo | ISBN-10: 354022887X | ISBN-13: 9783540228875
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From Vectors to Tensors (Universitext), Juan R. Ruiz-Tolosa, Enrique Castillo, J
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From Vectors to Tensors (Universitext), Juan R. Ruiz-Tolosa, Enrique Castillo, J
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Product description
Synopsis
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 at: http://personales.unican.es/castie/tensors 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.

Product Identifiers
ISBN-10354022887X
ISBN-139783540228875

Key Details
AuthorEnrique Castillo, Juan Ramon Ruíz-Tolosa
Number Of Pages670 pages
SeriesUniversitext Ser.
FormatPaperback
Publication Date2004-11-29
LanguageEnglish
PublisherSpringer

Additional Details
Copyright Date2005
IllustratedYes

Dimensions
Weight74.4 Oz
Width6.1 In.
Length9.3 In.

Target Audience
GroupScholarly & Professional

Classification Method
LCCN2004-114044
LC Classification NumberQA433.R85 2005
Dewey Decimal515/.63
Dewey Edition22

Table Of Content
Table Of ContentTensor 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.

eBay Product ID: EPID44475856
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