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Tools of Tensor Calculus

X. Jaén
Organization: Universitat Politecnica de Catalunya
Department: Department of Physics and Nuclear Engineering,
E. Llanta
Organization: Dept. of Physics and Nuclear Engineering, Universitat Politecnica de Catalunya.
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The TTC package implements some of the basic tools of tensor calculus in a differentiable manifold. One works with the full expression of tensors expressed in terms of their components on any coordinate basis. This structure permits one to define all operators in an intrinsic way.

A tool for changing the coordinates of any tensor is provided. This change of basis mechanism allows the simultaneous use, during the same session, of the different expressions of the same tensor when written in several coordinate bases. The same mechanism is also useful to define submanifolds of any dimension and to perform restrictions of tensors defined on the manifold.

*Mathematics > Calculus and Analysis > Differential Geometry

Linear Algebra, Pure Mathematics, Tensor Caluclus, tensor operators, tensor rank, tensor algebra, lie derivatives, covariant derivatives
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TTC.m (22 KB) - Tensor Tools Package