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Symbolic Tensor Calculus Using Index Notation

P. Castellví
Journal / Anthology

Computers in Physics
Year: 1995
Volume: 9
Issue: 3
Page range: 335-340

We present a Mathematica program which implements tensor calculus using index notation. Common operations, such as contractions, lowering and raising of indices, symmetrization and antisymmetrization, and covariant derivatives, are implemented in such a manner that the notation for the inputs is close to that found in textbooks. The optimization of the time to perform the calculations has been one of the main objectives when writing the code. This program has been merged with the package TTC, recently published in this journal, so the user can use both intrinsic notation and index expressions when performing tensor calculus.

*Mathematics > Calculus and Analysis > Differential Geometry