please do not delete this page. although there is an alternative approach to differential geometry, the component-based approach is fundamental to understanding the 'modern' approach, and the metric tensor is the fundamental definition of Riemannian geometry.
What are the goals of this encyclopedia? what should they be?
to be esoteric and create what some very few people might find to be 'elegant' and 'precise', or to make information accessible? I believe that it is the latter. Furthermore, I do not believe that the two goals are mutually exclusive. I believe, rather, that writting in a clear language that can readily be understood is a form of eloquence and 'perfection', and should be a priority. I am reminded of early medicine, when the professors turned the science of medicine into an esoteric and pedantic rite in pursuit of the luster of exclusive power. I would hate to see mathematics go the same way.
- I like your attitude. I don't suppose you know what a tensor product is? See my comment on Talk:Tensor product. By the way, Kevin, you should sign your entries on talk with ~~~~, which is automatically replaced with a signature like the following. -- Tim Starling 04:23 Mar 14, 2003 (UTC)
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