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Tensor analysis
'''Tensors''' are mathematical objects consisting of indices and components, which obey rules of transformation. Tensor analysis is useful in mechanical engineering, electromagnetic theory, differential geometry, and the [[general theory of relativity]].
'''Tensors''' are mathematical objects consisting of indices and components, which obey rules of transformation. [[Tensor analysis]] is useful in mechanical engineering, electromagnetic theory, differential geometry, and the [[general theory of relativity]].
[[vector|Vectors]] and [[matrix|matrices]] are examples of more general objects called tensors. Tensors are defined via their transformation properties: suppose we have a set of numbers <math>v_i</math>, and we want to know how their values change under rotation of Cartesian axes. If the values in the new co-ordinate system <math>v'_i</math> can be written
[[vector|Vectors]] and [[matrix|matrices]] are examples of more general objects called tensors. Tensors are defined via their transformation properties: suppose we have a set of numbers <math>v_i</math>, and we want to know how their values change under rotation of Cartesian axes. If the values in the new co-ordinate system <math>v'_i</math> can be written