What exactly is a Tensor?

Physics and Math double major here (undergrad). We are covering relativistic electrodynamics in one of my courses and I am confused as to what a tensor is as a mathematical object. We described the field and dual tensors as second rank antisymmetric tensors. I asked my professor if there was a proper definition for a tensor and he said that a tensor is “a thing that transforms like a tensor.” While hes probably correct, is there a more explicit way of defining a tensor (of any rank) that is more easy to understand?

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Nevin Manimala

Nevin Manimala is interested in blogging and finding new blogs https://nevinmanimala.com

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