Tensor Analysis for Engineers Edition 2

Transformations - Mathematics - Applications

Hardback
November 2020
9781683926016
More details
  • Publisher
    Mercury Learning and Information
  • Published
    30th November 2020
  • ISBN 9781683926016
  • Language English
  • Pages 182 pp.
  • Size 7" x 9"
  • Request Exam Copy
$79.95
E-Book (ePub)
October 2020
9781683925996
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  • Publisher
    Mercury Learning and Information
  • Published
    13th October 2020
  • ISBN 9781683925996
  • Language English
  • Pages 182 pp.
  • Size 7" x 9"
  • Request E-Exam Copy
$59.95
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October 2020
9781683926009
More details
  • Publisher
    Mercury Learning and Information
  • Published
    13th October 2020
  • ISBN 9781683926009
  • Language English
  • Pages 182 pp.
  • Size 7" x 9"
$159.95

Tensor analysis is used in engineering and science fields. This new edition provides engineers and applied scientists the tools and techniques of tensor analysis for applications in practical problem solving and analysis activities. 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 readers with mastering the topics provided in the prior sections.

FEATURES:

  • Expanded content on the rigid body rotation and Cartesian tensors by including Euler angles and quaternion methods
  • Easy to understand mathematical concepts through numerous figures, solved examples, and exercises
  • List of gradient-like operators for major systems of coordinates.

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

Mehrzad Tabatabaian

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.

curvilinear coordinate systems; Cartesian coordinate systems; rigid body rotation; Cartesian Tensors; Euler angles; quaternion methods; gradient vector operater-Christoffel; forms-curl