sorry ,I can only type in English in this PC. I think it is not hard to study tensor "opertion" and know about tensor form if you observe the rules and beautiful regulations of tensor. In fact, it is especially easy to have a geometric picture when you understand classical mechanics or electromagnetics. Of course,maybe it is a good way to at home in tensor analysis,but it takes very much time. Maybe it is also a very diffcult mission for students who major in mathematics, and most contents are useless for students who major in Physics. Even when one want to study the elementary mathematics of Einstein's general relativity.All you have to do is just familiar with the meanings of covariance and contraviriance vectors and their relations,and their covariant derivative, and the meanins of metric and Christoffel symbols,the meanins of geodesic lines and geodesic equation, Riemann-Christoffel and Ricci curvature tensor,and Bianch identity. -- --

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