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1 results

  • 16 - Concepts of Tensor Analysis

  • Don Koks
  • Book:
    Rotation Sequences and the Theory of Vectors and Coordinates
    Published online:
    17 April 2025
    Print publication:
    24 April 2025, pp 509-548

  • Summary

    Books on vehicle attitude and motion often use tensors in their analyses, and I have discussed the reasons for that in a previous chapter. But tensors also carry an esotericism arising from being used to quantify the curved spacetime of general relativity. And so I end the book by telling the inquisitive reader how tensors ‘work’ more generally, and how this more advanced topic makes quick work of calculating the gradient, divergence, laplacian, and curl of vector calculus. I end with a discussion of parallel transport, which has found its way into the exotic ‘wander azimuth’ axes used in some navigation systems.