Tensor Analysis and Nonlinear Tensor Functions:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
2002
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (XVIII, 662 p) |
| ISBN: | 9789401732215 9789048161690 |
| DOI: | 10.1007/978-94-017-3221-5 |
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Datensatz im Suchindex
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-017-3221-5 |
| format | Electronic eBook |
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| id | DE-604.BV042424319 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:15Z |
| institution | BVB |
| isbn | 9789401732215 9789048161690 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027859736 |
| oclc_num | 1184498719 |
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| physical | 1 Online-Ressource (XVIII, 662 p) |
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| spelling | Dimitrienko, Yu. I. Verfasser aut Tensor Analysis and Nonlinear Tensor Functions by Yu. I. Dimitrienko Dordrecht Springer Netherlands 2002 1 Online-Ressource (XVIII, 662 p) txt rdacontent c rdamedia cr rdacarrier 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 Mathematics Matrix theory Global analysis Topology Materials Vibration Linear and Multilinear Algebras, Matrix Theory Continuum Mechanics and Mechanics of Materials Global Analysis and Analysis on Manifolds Vibration, Dynamical Systems, Control Mathematik Tensorfunktion (DE-588)4135267-1 gnd rswk-swf Tensoranalysis (DE-588)4204323-2 gnd rswk-swf Tensoranalysis (DE-588)4204323-2 s Tensorfunktion (DE-588)4135267-1 s 1\p DE-604 https://doi.org/10.1007/978-94-017-3221-5 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Dimitrienko, Yu. I. Tensor Analysis and Nonlinear Tensor Functions Mathematics Matrix theory Global analysis Topology Materials Vibration Linear and Multilinear Algebras, Matrix Theory Continuum Mechanics and Mechanics of Materials Global Analysis and Analysis on Manifolds Vibration, Dynamical Systems, Control Mathematik Tensorfunktion (DE-588)4135267-1 gnd Tensoranalysis (DE-588)4204323-2 gnd |
| subject_GND | (DE-588)4135267-1 (DE-588)4204323-2 |
| title | Tensor Analysis and Nonlinear Tensor Functions |
| title_auth | Tensor Analysis and Nonlinear Tensor Functions |
| title_exact_search | Tensor Analysis and Nonlinear Tensor Functions |
| title_full | Tensor Analysis and Nonlinear Tensor Functions by Yu. I. Dimitrienko |
| title_fullStr | Tensor Analysis and Nonlinear Tensor Functions by Yu. I. Dimitrienko |
| title_full_unstemmed | Tensor Analysis and Nonlinear Tensor Functions by Yu. I. Dimitrienko |
| title_short | Tensor Analysis and Nonlinear Tensor Functions |
| title_sort | tensor analysis and nonlinear tensor functions |
| topic | Mathematics Matrix theory Global analysis Topology Materials Vibration Linear and Multilinear Algebras, Matrix Theory Continuum Mechanics and Mechanics of Materials Global Analysis and Analysis on Manifolds Vibration, Dynamical Systems, Control Mathematik Tensorfunktion (DE-588)4135267-1 gnd Tensoranalysis (DE-588)4204323-2 gnd |
| topic_facet | Mathematics Matrix theory Global analysis Topology Materials Vibration Linear and Multilinear Algebras, Matrix Theory Continuum Mechanics and Mechanics of Materials Global Analysis and Analysis on Manifolds Vibration, Dynamical Systems, Control Mathematik Tensorfunktion Tensoranalysis |
| url | https://doi.org/10.1007/978-94-017-3221-5 |
| work_keys_str_mv | AT dimitrienkoyui tensoranalysisandnonlineartensorfunctions |