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TTC: Symbolic Tensor and Exterior Calculus

P. Castellví
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.
Journal / Anthology

Computers in Physics
Year: 1994
Volume: 8
Issue: 3
Page range: 360-367

The package TTC (Tools of Tensor Calculus) implements the majority of the basic tools of tensor and exterior calculus in a differentiable manifold using the point-of-view of the modern differential geometry (DG). It can be of interest to any physicist using DG, for research or teaching purposes, in relativity theory, mechanics, electromagnetism, thermodynamics, Hamiltonian theory, fluid dynamics, elementary particle physics, etc. It is written in the computer algebra language Mathematica, which gives the user a powerful environment. Emphasis has been put on using the full expression of tensors, on defining objects with no restrictions at all, and on using a close-to-textbook notation.

*Mathematics > Calculus and Analysis > Differential Geometry