Hello, I'm interested in seeing some proof of the identities involving the levi civita permutation tensor and and the kroneker delta. I've discovered the utility and efficiency of these identities in deriving the standard vector calculus identities involving div, grad, and curl, but I'm sort of just applying a formula which I am taking on faith in the process.(adsbygoogle = window.adsbygoogle || []).push({});

I have no formal knowledge of tensors, tensor calculus and the like, and little formal linear algebra knowledge.

Is it possible to find a proof of these identities which doesn't involve one or the other, or one which is semi-convincing that I can satisfy myself with before taking on the subjects of linear algebra and tensor analysis?

Thanks!

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# Levi-civita permutation tensor, and kroneker delta

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