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UVW Co-ordinates are a set of co-ordinates associated with the facets in a mesh that determine where texture information is drawn from.
Generally speaking, only UV information is used in most texturing. UV information refers to the positin across (U) and down (V) a 2D image from which texture information is retrieved.
For a concptual representation of this, picture if you had a icosahedron (20-soded die) of largish size. Each of the 20 facets of this die contained data explaining where on a picture to get image data from. The picture, of course, cintained a series of triangles, each imprinted with a number from 1 to 20. If the first facet you came across contained information that instructed you to draw the texture from three co-ordinates that formed a triangle around the number 18, then you can see that your first facet would be the #18 facet.
The less-used W co-ordinate exists to gain information from 3D Procedural textures.
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