Tensor Analysis for Engineers
Autor Mehrzad Tabatabaianen Limba Engleză Hardback – 31 dec 2024
Tensor analysis is used in engineering and science fields. This book provides engineers and applied scientists the tools and techniques of tensor analysis for applications in practical problem solving and analysis activities.
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Specificații
ISBN-13: 9781683929642
ISBN-10: 1683929640
Pagini: 252
Dimensiuni: 183 x 235 x 20 mm
Greutate: 0.61 kg
Ediția:1. Auflage
Editura: Mercury Learning and Information
ISBN-10: 1683929640
Pagini: 252
Dimensiuni: 183 x 235 x 20 mm
Greutate: 0.61 kg
Ediția:1. Auflage
Editura: Mercury Learning and Information
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Notă biografică
Mehrzad Tabatabaian holds a PhD from McGill University and is currently Chair of the British Columbia Institute of Technology School of Energy Research Committee. He has published several papers for scientific journals and conferences, and he has written textbooks on multiphysics and turbulent flow modeling, thermodynamics, and direct energy conversion. He holds several registered patents in the energy field and currently teaches courses in renewable energy and thermal engineering.
Cuprins
1. Introduction
2. Coordinate systems
3. Curvilinear and oblique coordinate systems
4. Basis vectors and scale factors
5. Contravariant components and transformations
6. Physical components and 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. Worked-out examples
17. Exercises
References
Index
2. Coordinate systems
3. Curvilinear and oblique coordinate systems
4. Basis vectors and scale factors
5. Contravariant components and transformations
6. Physical components and 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. Worked-out examples
17. Exercises
References
Index