I am not sure if this a right place to ask what is a tensor. I already asked about vectors in Math section, but I think a tensor has more to do with physics that mathematics, so I came here. I am reading A Zee's book Einstein Gravity that students have fear of tensors. I also think that they suck, are they really necessary? Can't we manage without them? Zee writes that:" a tensor is something that transforms like a tensor. But this should not perplex us. A duck is something that quacks like a duck." I think that vectors are more fundamental than tensors. Vectors don't behave in multiplication the same way as tensors. You can multiply tensors and the result is another tensor, but the same does not happen with vectors in multiplication.