Contravariant Tensors

Contravariant tensors are mathematical objects used in physics and engineering to describe how quantities change when you switch between different coordinate systems. They have components that transform inversely to the basis axes—meaning if the axes stretch or compress, the tensor's components adjust in the opposite way. This property ensures that the physical laws or quantities they represent remain consistent regardless of coordinate changes. Think of them as rules that tell you how vectors or quantities like velocity or force change when you view the system from a different perspective, maintaining the object’s intrinsic physical meaning.