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From vector to tensor/

Ruiz-Tolosa, Juan Ramon

From vector to tensor/ Juan Ramon Ruiz-Tolosa and Enrique Castillo - New York: Springer, 2005. - xvi, 670 p. : ill. ; 24 cm.

1. Tensor spaces --
2. Introduction to tensors --
3. Homogeneous tensors --
4. Change-of-basis in tensor spaces --
5. Homogeneous tensor algebra: tensor homomorphisms --
Part II: Special tensors --
6. Symmetric homogeneous tensors: tensor algebras --
7. Anti-symmetric homogeneous tensors, tensor and inner product algebras --
8. Pseudotensors: modular, relative or weighted tensors --
Part III: Exterior algebras --
9. Exterior algebras: totally anti-symmetric homogeneous tensor algebras --
10. Mixed exterior algebras --
Part IV: Tensors over linear spaces with inner product --
11. Euclidean homogeneous tensors --
12. Modular tensors over E"n" (lR) Euclidean spaces --
13. Euclidean exterior algebra --
Part V: Classic tensors in geometry and mechanics --
14. Affine tensors.

ISBN: 9783540228875

Subjects--Topical Terms:
Tensor algebra
Vector algebra
Calculus of tensors
Engineering mathematics
Mathematical physics
Vector analysis

Dewey Class. No.: 512.5 / TOL/