Vector analysis in chemistry:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York ; Düsseldorf
McGraw-Hill
1974
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| Series: | MacGraw-Hill series in advanced chemistry.
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII,149 S. |
Staff View
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface xi
Chapter 1 Vector Algebra 1
1 1 Introduction 1
1 2 Representation of a vector 2
1 3 Addition and subtraction of vectors 4
1 4 Product of a scalar and a vector 4
1 5 Scalar product of two vectors 5
1 6 Vector product of two vectors 7
1 7 Triple scalar product 8
1 8 Triple vector product 10
Chapter 2 Molecular Geometry 13
2 1 Bond angles and distances 13
2 2 Benzene 15
2 3 Cyclohexane boat form 18
2 4 Cyclohexane chair form 23
2 5 1,2 Dimethylcyclopropane 28
2 6 Unit cell calculations 30
viii CONTENTS
Chapter 3 Vector Calculus 35
3 1 Differentiation of a vector 35
3 2 Vectors in classical mechanics 37
3 3 Gradient of a scalar field 38
3 4 Divergence of a vector field 39
3 5 Curl of a vector field 42
3 6 Additional differential vector relationships 43
3 7 Line integral 43
3 8 Surface integral 45
3 9 Volume integral 46
3 10 Gauss theorem 46
3 11 Green s theorem 48
3 12 Stokes theorem 49
Chapter 4 Electromagnetic Theory 55
4 1 Introduction 55
4 2 Units 56
4 3 Charges and currents 56
4 4 Maxwell s equations 58
4 5 Material equations 61
4 6 Boundary conditions at a surface of discontinuity 63
4 7 Conservation of energy 66
4 8 The wave equation 68
4 9 Plane electromagnetic waves 69
4 10 Linear and circular polarization 71
4 11 Electric and magnetic moments 75
4 12 Optical activity 77
4 13 Vector and scalar potentials 82
Chapters Dyadics 87
5 1 Definition of a dyadic 87
5 2 Multiplication by a dyadic 88
5 3 Some examples 91
5 4 Dyadics with differential operators 92
5 5 Unit dyadic 93
5 6 Trace of a dyadic 94
5 7 Symmetric and antisymmetric dyadics 94
5 8 Vector product 95
5 9 Moment of inertia of a rigid body 96
Chapter 6 Fluid Mechanics and Thermodynamics 101
6 1 Fluid flow 101
6 2 General conservation equation 103
6 3 Equation of continuity of matter 104
6 4 Stress tensor 106
6 5 Equation of motion 109
6 6 Mechanical equilibrium and hydrostatics 111
CONTENTS ix
6 1 Energy transport equation 113
6 8 Entropy transport equation and the second law of
thermodynamics 115
6 9 Sound waves 117
Chapter 7 Vectors in Spherical Coordinates 123
7 1 Spherical coordinate system 123
7 2 Volume element 126
7 3 Gradient of a scalar field 128
7 4 Divergence of a vector field • 128
7 5 Curl of a vector field 130
Chapter 8 Orthogonal Curvilinear Coordinates 135
8 1 Orthogonal coordinate systems 135
8 2 Volume element 136
8 3 Scale factors 137
8 4 Gradient of a scalar field 138
8 5 Divergence of a vector field 139
8 6 Curl of a vector field 139
8 7 Cylindrical coordinates 140
8 8 Other coordinate systems 142
Appendix Summary of Vector and Dyadic Relations 147
Vector and dyadic operations 147
Differential operations 147
Gauss theorem 148
Stokes theorem 148
Green s theorem 148
Spherical coordinates 148
Cylindrical coordinates 149
|
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| indexdate | 2024-07-09T16:59:08Z |
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| language | English |
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| physical | XII,149 S. |
| publishDate | 1974 |
| publishDateSearch | 1974 |
| publishDateSort | 1974 |
| publisher | McGraw-Hill |
| record_format | marc |
| series2 | MacGraw-Hill series in advanced chemistry. |
| spelling | Fitts, Donald D. 1932- Verfasser (DE-588)172086876 aut Vector analysis in chemistry New York ; Düsseldorf McGraw-Hill 1974 XII,149 S. txt rdacontent n rdamedia nc rdacarrier MacGraw-Hill series in advanced chemistry. Chemie (DE-588)4009816-3 gnd rswk-swf Vektoranalysis (DE-588)4191992-0 gnd rswk-swf Vektoranalysis (DE-588)4191992-0 s Chemie (DE-588)4009816-3 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004679014&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Fitts, Donald D. 1932- Vector analysis in chemistry Chemie (DE-588)4009816-3 gnd Vektoranalysis (DE-588)4191992-0 gnd |
| subject_GND | (DE-588)4009816-3 (DE-588)4191992-0 |
| title | Vector analysis in chemistry |
| title_auth | Vector analysis in chemistry |
| title_exact_search | Vector analysis in chemistry |
| title_full | Vector analysis in chemistry |
| title_fullStr | Vector analysis in chemistry |
| title_full_unstemmed | Vector analysis in chemistry |
| title_short | Vector analysis in chemistry |
| title_sort | vector analysis in chemistry |
| topic | Chemie (DE-588)4009816-3 gnd Vektoranalysis (DE-588)4191992-0 gnd |
| topic_facet | Chemie Vektoranalysis |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004679014&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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