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.
By:
Mehrzad Tabatabaian
Imprint: Mercury Learning & Information
Country of Publication: United States
Edition: 3rd ed.
Dimensions:
Height: 229mm,
Width: 178mm,
Weight: 619g
ISBN: 9781683929642
ISBN 10: 1683929640
Pages: 234
Publication Date: 31 December 2024
Audience:
Professional and scholarly
,
Undergraduate
Format: Hardback
Publisher's Status: Active
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
Mehrzad Tabatabaian holds a PhD from McGill University and is currently Chair of the BCIT 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 modelling, thermodynamics, and direct energy conversion. He holds several registered patents in the energy field and currently teaches courses in renewable energy and thermal engineering.
