TY - BOOK AU - Ruiz-Tolosa, Juan Ramon AU - Castillo, Enrique TI - From vector to tensor SN - 9783540228875 U1 - 512.5 PY - 2005/// CY - New York PB - Springer KW - Tensor algebra KW - Vector algebra KW - Calculus of tensors KW - Engineering mathematics KW - Mathematical physics KW - Vector analysis N1 - 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 ER -