An introduction to tensor analysis for engineers and applied scientists:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London
Longman
1975
|
| Ausgabe: | 1. publ. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 114 S. graph. Darst. |
| ISBN: | 0582443547 0582443555 |
Internformat
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| 245 | 1 | 0 | |a An introduction to tensor analysis for engineers and applied scientists |c John R. Tyldesley |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a London |b Longman |c 1975 | |
| 300 | |a XII, 114 S. |b graph. Darst. | ||
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Datensatz im Suchindex
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| adam_text | Contents
Preface
Nomenclature
Chapter 1 Fundamentals
1.1 Introduction 1
1.2 Notation and summation convention l
1.3 Definition of a tensor 5
1.4 Tensor algebra 6
1.5 Tensor calculus 8
1.6 The unity and alternating tensors 10
1.7 Problems 13
Chapter 2 Continuum mechanics
2.1 Isotropic tensors as material properties 15
2.2 Isotropic tensor forms 16
2.3 Linear expansions and physical laws 19
2.4 Symmetry and antisymmetry 20
2.5 Principal axes 22
2.6 The strain and vorticity tensors 23
2.7 The stress tensor 26
2.8 Relationship between stress and strain 28
2.9 Deformation of solids 31
2.10 Problems 32
x Contents
Chapter 3 Transport processes
3.1 General transport equations of fluid media 33
3.2 Heat, mass and momentum transfer 36
3.3 Transport in particulate media 45
3.4 Thermodynamic relations 50
3.5 Turbulent transport 55
3.6 Electrical phenomena 57
3.7 Biological phenomena 60
3.8 Problems 63
Chapter 4 Field theory
4.1 Introduction 65
4.2 Potential fields 65
4.3 The electromagnetic field 69
4.4 The acoustic field 75
Chapter 5 Tensors in generalised coordinates
5.1 Coordinate systems and transformations 79
5.2 Contravariant, covariant and mixed tensor forms 82
5.3 Tensor algebra 84
5.4 The metric tensor 86
5.5 The Christoffel symbols 91
5.6 Covariant differentiation 95
5.7 The alternating tensors 99
5.8 Equations in three dimensional curvilinear coordinates 100
5.9 Dynamics of particles and systems 106
5.10 Problems 110
Index 111 114
|
| adam_txt |
Contents
Preface
Nomenclature
Chapter 1 Fundamentals
1.1 Introduction 1
1.2 Notation and summation convention l
1.3 Definition of a tensor 5
1.4 Tensor algebra 6
1.5 Tensor calculus 8
1.6 The unity and alternating tensors 10
1.7 Problems 13
Chapter 2 Continuum mechanics
2.1 Isotropic tensors as material properties 15
2.2 Isotropic tensor forms 16
2.3 Linear expansions and physical laws 19
2.4 Symmetry and antisymmetry 20
2.5 Principal axes 22
2.6 The strain and vorticity tensors 23
2.7 The stress tensor 26
2.8 Relationship between stress and strain 28
2.9 Deformation of solids 31
2.10 Problems 32
x Contents
Chapter 3 Transport processes
3.1 General transport equations of fluid media 33
3.2 Heat, mass and momentum transfer 36
3.3 Transport in particulate media 45
3.4 Thermodynamic relations 50
3.5 Turbulent transport 55
3.6 Electrical phenomena 57
3.7 Biological phenomena 60
3.8 Problems 63
Chapter 4 Field theory
4.1 Introduction 65
4.2 Potential fields 65
4.3 The electromagnetic field 69
4.4 The acoustic field 75
Chapter 5 Tensors in generalised coordinates
5.1 Coordinate systems and transformations 79
5.2 Contravariant, covariant and mixed tensor forms 82
5.3 Tensor algebra 84
5.4 The metric tensor 86
5.5 The Christoffel symbols 91
5.6 Covariant differentiation 95
5.7 The alternating tensors 99
5.8 Equations in three dimensional curvilinear coordinates 100
5.9 Dynamics of particles and systems 106
5.10 Problems 110
Index 111 114 |
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| index_date | 2024-07-02T16:06:46Z |
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| institution | BVB |
| isbn | 0582443547 0582443555 |
| language | English |
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| physical | XII, 114 S. graph. Darst. |
| publishDate | 1975 |
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| spelling | Tyldesley, John R. Verfasser aut An introduction to tensor analysis for engineers and applied scientists John R. Tyldesley 1. publ. London Longman 1975 XII, 114 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Calculus of tensors Tensoranalysis (DE-588)4204323-2 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Tensoranalysis (DE-588)4204323-2 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015153616&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Tyldesley, John R. An introduction to tensor analysis for engineers and applied scientists Calculus of tensors Tensoranalysis (DE-588)4204323-2 gnd |
| subject_GND | (DE-588)4204323-2 (DE-588)4151278-9 |
| title | An introduction to tensor analysis for engineers and applied scientists |
| title_auth | An introduction to tensor analysis for engineers and applied scientists |
| title_exact_search | An introduction to tensor analysis for engineers and applied scientists |
| title_exact_search_txtP | An introduction to tensor analysis for engineers and applied scientists |
| title_full | An introduction to tensor analysis for engineers and applied scientists John R. Tyldesley |
| title_fullStr | An introduction to tensor analysis for engineers and applied scientists John R. Tyldesley |
| title_full_unstemmed | An introduction to tensor analysis for engineers and applied scientists John R. Tyldesley |
| title_short | An introduction to tensor analysis for engineers and applied scientists |
| title_sort | an introduction to tensor analysis for engineers and applied scientists |
| topic | Calculus of tensors Tensoranalysis (DE-588)4204323-2 gnd |
| topic_facet | Calculus of tensors Tensoranalysis Einführung |
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