Tensor Calculus
Covariant Derivative Notation
Distinguish partial, covariant, directional, and Lie derivatives.
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Tensor Calculus Notation Guides
Read indices, contractions, metrics, covariant derivatives, raising and lowering operations, and tensor transformations without losing index conventions.
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Tensor Calculus
Einstein Summation Convention
Apply repeated-index summation while checking free indexes and dimensions.
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Metric Tensor and Index Raising
Use a metric and inverse metric to raise, lower, and contract indexes.
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Tensor Index Notation
Use upper, lower, free, dummy, symmetric, and antisymmetric indexes correctly.
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