| Dewey Class |
512.5 |
| Titel |
Tensor Analysis and Nonlinear Tensor Functions ([EBook]) / by Yu. I. Dimitrienko. |
| Verfasser |
Dimitrienko, Yuriy. I. |
| Other name(s) |
SpringerLink (Online service) |
| Veröffentl |
Dordrecht : Springer Netherlands , 2002. |
| Physical Details |
XVIII, 662 pages : online resource. |
| ISBN |
9789401732215 |
| Summary Note |
Tensor Analysis and Nonlinear Tensor Functions embraces the basic fields of tensor calculus: tensor algebra, tensor analysis, tensor description of curves and surfaces, tensor integral calculus, the basis of tensor calculus in Riemannian spaces and affinely connected spaces, - which are used in mechanics and electrodynamics of continua, crystallophysics, quantum chemistry etc. The book suggests a new approach to definition of a tensor in space R3, which allows us to show a geometric representation of a tensor and operations on tensors. Based on this approach, the author gives a mathematically rigorous definition of a tensor as an individual object in arbitrary linear, Riemannian and other spaces for the first time. It is the first book to present a systematized theory of tensor invariants, a theory of nonlinear anisotropic tensor functions and a theory of indifferent tensors describing the physical properties of continua. The book will be useful for students and postgraduates of mathematical, mechanical engineering and physical departments of universities and also for investigators and academic scientists working in continuum mechanics, solid physics, general relativity, crystallophysics, quantum chemistry of solids and material science.: |
| Contents note |
1. Tensor Algebra -- 2. Tensors in Linear Spaces -- 3. Groups of Transformations -- 4. Indifferent Tensors and Invariants -- 5. Tensor Functions -- 6. Tensor Analysis -- 7. Geometry of Curves and Surfaces -- 8. Tensors in Riemannian Spaces and Affinely Connected Spaces -- 9. Integration of Tensors -- 10. Tensors in Continuum Mechanics -- 11. Tensor Functions in Continuum Mechanics -- References. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users). |
| Internet Site |
http://dx.doi.org/10.1007/978-94-017-3221-5 |
| LINKS ZU 'VERWANDTEN WERKEN |
Schlagwörter: .
Algebra .
Continuum Mechanics .
Dynamical Systems .
Dynamics .
Global analysis (Mathematics) .
Linear and Multilinear Algebras, Matrix Theory .
Manifolds (Mathematics) .
Matrix theory .
Topology .
Vibration .
Authors:
Corporate Authors:
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