Tensor calculus
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Tensor calculus[edit]
Tensor calculus was first developed to aid the development of Einstein's general theory of relativity. Since then it has been a separate branch of applied mathematics. Tensors are multi-linear maps. That is to say, they are linear in many variables and are functions of them just like vectors are also functions. They are functions of coordinates variable. As an example, metric tensor is a function of coordinates. Riemann tensor is also function of coordinates. Tensors transform in special way under change of coordinates.
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