Tensor calculus | Wikipedia audio article
Channel: wikipedia tts
Date: 2019-05-07

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Tensor_calculus


00:01:07 See also
00:01:32 Further reading
00:03:57 External links



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SUMMARY
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In mathematics, tensor calculus or tensor analysis 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, it was used by Albert Einstein to develop his theory of general relativity. Contrasted with the infinitesimal calculus, tensor calculus allows presentation of physics equations in a form that is independent of the choice of coordinates on the manifold.
Tensor calculus has many real-life applications in physics and engineering, including elasticity, continuum mechanics, electromagnetism (see mathematical descriptions of the electromagnetic field), general relativity (see mathematics of general relativity), quantum field theory.