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Tensor Analysis for Engineers Vital Source e-bog
Mehrzad Tabatabaian
(2023)
De Gruyter
1.199,00 kr.
Leveres umiddelbart efter køb
Tensor Analysis for Engineers
Transformations - Mathematics - Applications
Mehrzad Tabatabaian
(2024)
Sprog: Engelsk
Mercury Learning & Information
1.240,00 kr.
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Detaljer om varen
- 1. Udgave
- Vital Source searchable e-book (Fixed pages)
- Udgiver: De Gruyter (Juni 2023)
- ISBN: 9781683929635
Tensor analysis is used in engineering and science fields. This new edition provides engineers and applied scientists with the tools and techniques of tensor analysis for applications in practical problem solving and analysis activities. It includes expanded content on the application of mechanical stress transformation. The geometry is limited to the Euclidean space/geometry, where the Pythagorean Theorem applies, with well-defined Cartesian coordinate systems as the reference. Quantities defined in curvilinear coordinate systems, like cylindrical, spherical, parabolic, etc. are discussed and several examples and coordinates sketches with related calculations are presented. In addition, the book has several worked-out examples for helping the readers with mastering the topics provided in the prior sections.
Licens varighed:
Herudover online adgang: 5 år fra købsdato.
Bookshelf appen: Livslang - intet udløb.
Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: 2 sider kan printes ad gangen
Copy: højest 2 sider i alt kan kopieres (copy/paste)
Herudover online adgang: 5 år fra købsdato.
Bookshelf appen: Livslang - intet udløb.
Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: 2 sider kan printes ad gangen
Copy: højest 2 sider i alt kan kopieres (copy/paste)
Detaljer om varen
- 3. Udgave
- Hardback: 234 sider
- Udgiver: Mercury Learning & Information (December 2024)
- ISBN: 9781683929642
Tensor analysis is used in engineering and science fields. This new edition provides engineers and applied scientists with the tools and techniques of tensor analysis for applications in practical problem solving and analysis activities. It includes expanded content on the application of mechanical stress transformation. The geometry is limited to the Euclidean space/geometry, where the Pythagorean Theorem applies, with well-defined Cartesian coordinate systems as the reference. Quantities defined in curvilinear coordinate systems, like cylindrical, spherical, parabolic, etc. are discussed and several examples and coordinates sketches with related calculations are presented. In addition, the book has several worked-out examples for helping the readers with mastering the topics provided in the prior sections.
1. Introduction
2. Coordinate Systems Definition
3. Basic Vectors and Scale Factors
4. Contravariant Components and Transformations
5. Covariant Components and Transformations
6. Physical Componentsand Transformations
7. Tensors - Mixed and Metric
8. Metric Tensor Operation on Tensor Indices
9. Dot and Cross Products of Tensors
10. Gradient Vector Operator-Christoffel Symbols
11. Derivative Forms-Curl,Divergence, Laplacian
12. Cartesian Tensor Transformation-Rotations
13. Coordinate Independent Governing Equations
14. Collection of Relations for Selected Coordinate Systems
15. Rigid Body Rotation: Euler Angles, Quaternions, And Rotation Matrix
16. Mechanical Stress Transformation
17. The Worked Examples
18. Exercises References Index
2. Coordinate Systems Definition
3. Basic Vectors and Scale Factors
4. Contravariant Components and Transformations
5. Covariant Components and Transformations
6. Physical Componentsand Transformations
7. Tensors - Mixed and Metric
8. Metric Tensor Operation on Tensor Indices
9. Dot and Cross Products of Tensors
10. Gradient Vector Operator-Christoffel Symbols
11. Derivative Forms-Curl,Divergence, Laplacian
12. Cartesian Tensor Transformation-Rotations
13. Coordinate Independent Governing Equations
14. Collection of Relations for Selected Coordinate Systems
15. Rigid Body Rotation: Euler Angles, Quaternions, And Rotation Matrix
16. Mechanical Stress Transformation
17. The Worked Examples
18. Exercises References Index
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