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Brief about Tensor Calculus

  1. Dec 1, 2014 #1
    I have started to learn a bit about Tensor calculus and it all going above my head. May any one give a brief outline about the topic (preferably theoretical) and the supplementary concepts attached to it.
  2. jcsd
  3. Dec 1, 2014 #2


    Staff: Mentor

  4. Dec 2, 2014 #3


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    Gold Member

    Tensor calculus is, in modern times, basically subsumed into differential geometry. It is the study of tensors which are multi-linear operators existing on the tangent (or cotangent) spaces to a manifold. They take any number of vectors or one forms as arguments (the rank of a tensor being how many vectors and one forms it takes) and gives a scalar (coordinate independent) number.
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