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From Vectors to Tensors / Edition 1
     

From Vectors to Tensors / Edition 1

5.0 1
by Juan R. Ruiz-Tolosa, Enrique Castillo
 

ISBN-10: 354022887X

ISBN-13: 9783540228875

Pub. Date: 01/12/2005

Publisher: Springer Berlin Heidelberg

This textbook deals with tensors that are treated as vectors. Coverage details such new tensor concepts as the rotation of tensors, the transposer tensor, the eigentensors, and the permutation tensor structure. The book covers an existing gap between the classic theory of tensors and the possibility of solving tensor problems with a computer. A complementary

Overview

This textbook deals with tensors that are treated as vectors. Coverage details such new tensor concepts as the rotation of tensors, the transposer tensor, the eigentensors, and the permutation tensor structure. The book covers an existing gap between the classic theory of tensors and the possibility of solving tensor problems with a computer. A complementary computer package, written in Mathematica, is available through the Internet.

Product Details

ISBN-13:
9783540228875
Publisher:
Springer Berlin Heidelberg
Publication date:
01/12/2005
Series:
Universitext Series
Edition description:
2005
Pages:
670
Product dimensions:
9.21(w) x 6.14(h) x 1.45(d)

Table of Contents

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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From Vectors to Tensors 5 out of 5 based on 0 ratings. 1 reviews.
Anonymous More than 1 year ago