From vectors to tensors
著者
書誌事項
From vectors to tensors
（Universitext）
Springer, c2005
- : pbk
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注記
Includes bibliographical references (p. [659]-662) and index
内容説明・目次
内容説明
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.
目次
- 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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