In mathematics, tensor calculus, tensor analysis, or Ricci calculus is
an extension of vector calculus to tensor fields
(tensors that may vary over a manifold, e.g. in spacetime).
Developed by Gregorio Ricci-Curbastro and his student Tullio Levi-Civita,[1]
it was used by Albert Einstein to develop his general theory of relativity.
Unlike the infinitesimal calculus, tensor calculus allows presentation
of physics equations in a form that is independent of the choice of
coordinates on the manifold.
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