|
|
|
|
|
|
 |
 |
|
Tensorial: A Tensor Calculus Package
|
|
|
|
|
|
| Organization: | University of Windsor |
|
|
|
|
|
|
0211-419
|
|
|
|
|
|
2000-12-20
|
|
|
|
|
|
Tensorial 3.0: A General Tensor Calculus Package.
The package should be useful both as an introduction to tensor calculations and for advanced calculations. Some of its features are: - There is complete freedom in the choice of symbols for tensor labels and indices.
- Base indices may be any set of integers or symbols. Thus you could use {0,1,2,3} for relativity problems, or {t,x,y,z}, or {&rho,&theta,&phi} for spherical coordinates.
- Flavored indices (colored or annotated symbols) to represent different coordinate systems.
- Tensor shortcuts for easy entry of tensors.
- Easy methods to store and substitute tensor values.
- Partial, covariant, total, absolute and Lie derivative routines for any dimension and any order.
- Complete documentation, with a Help page and numerous examples for each command. In addition there are tutorial and extended example notebooks.
- There is an additional package "TMecanica", showing an advanced application of Tensorial for Hamiltonian dynamics.
Tensorial 3.0 can be found at http://home.earthlink.net/~djmp/Mathematica.html
The notebooks here are an older version, Tensorial 1.3
|
|
|
|
|
|
|
|
|
|
|
|
Tensor, Christoffel, RicciThe Metric Tensor, Dummy variables, Kronecker's symbol, Levi-Civita symbol, Christoffel Symbols, Covariant Derivative, Partial Derivative, Divergence Gradient, Laplacian, Absoulte Derivative, Intrinsec Derivative
|
|
|
|
|
|
|
|
|
 |
|
|
| tensorial.m (18 KB) - Mathematica package | | tensorial.nb (552.7 KB) - Mathematica notebook |
|
|
|
|
|
|
|
| | | | | |
|
For the newest resources, visit Wolfram Repositories and Archives »
