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arXiv · 2512.18796

TensoriaCalc: A User-Friendly Tensor Calculus Package for the Wolfram Language

Wei-Hao Chen·Yi-Zen Chu·Vaidehi Varma
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Abstract

We describe TensoriaCalc, a tensor calculus package written to be smoothly consistent with the Wolfram Language, so as to ensure ease of usage. It allows multiple metrics to be defined in a given session; and, once a metric is computed, associated standard differential geometry operations to be carried out - covariant derivatives, Hodge duals, index raising and lowering, derivation of geodesic equations, etc. Other non-metric operations, such as the Lie and exterior derivatives, coordinate transformation on tensors, etc. are also part of its built-in functionality.

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Wei-Hao Chen, Yi-Zen Chu, Vaidehi Varma. 2025-12-21. TensoriaCalc: A User-Friendly Tensor Calculus Package for the Wolfram Language. https://arxiv.org/abs/2512.18796

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