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Advanced Tensor Analysis
Authors

Ahmed Alhamzawi
Department: Mathematics
Rahim Alhamzawi
Revision date

2014-02-03
Description

ATA is a tensor calculus package made for general purpose, easy to use with good looking formula display. This package was built for computing large tensor equations with the least amount of time. This package is unique in the sense that it allows you to input tensors in their tensor form and it has a simple framework. The Output comes with tensor and derivatives of tensors only and any covariant derivatives are evaluated at the beginning. In addition, ATA uses the tensors symmetries to simplify an expression enormously. ATA can be of interest to the scientist working on any field where tensor calculus is required.
Subjects

*Mathematics > Calculus and Analysis
*Mathematics > Calculus and Analysis > Calculus
*Mathematics > Calculus and Analysis > Differential Equations
*Mathematics > Calculus and Analysis > Differential Geometry
*Mathematics > Calculus and Analysis > Calculus of Variations
*Science > Physics
*Science > Physics > Mechanics
*Science > Physics > Relativity Theory
Keywords

Covariant Derivative, General Relativity, Metric Tensor, Ricci Tensor, Riemann Tensor, Tensors, Tensor Calculus, Manifolds, Tensor Analysis, Torsion Tensor.
Downloads Download Wolfram CDF Player

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Tutorial.pdf (402.9 KB) - PDF Document
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ATA.m (33.8 KB) - Mathematica Package