# Covariant and Contravariant Tensors

## Main Question or Discussion Point

Not sure where to post this thread.

That being said, can someone explain to me simply what covariant and contravariant tensors are and how covariant and contravariant transformation works? My understanding of it from googling these two mathematical concepts is that when you change the basis of these two tensors, the scale of the resultant varies differently between the two. Please use simple to understand examples.

Thank you.

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jedishrfu
Mentor
this may help:

http://en.wikipedia.org/wiki/Covariance_and_contravariance_of_vectors

In general curvilinear coordinates you have two choices for a basis one is the tangent vectors at a given point and the other is the normal vectors. Whats confusing is that sometimes they line up and there is no distinction visually when they are an orthogonal basis.

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Stephen Tashi