张量概念的一种简单引入

A Simple Way to Introduce the Concept of Tensor

从数学上简单的施密特正交化出发,把物理上的坐标变换作为重点,既不失数学严谨又不失物理意义地简单引入张量的概念并对张量的运算做了一些介绍。旨在降低目前物理系高年级和研究生中张量教学的难度。

Starting from the simple Schmidt orthogonalization in mathematics, the coordinate transformation in physics is taken as the key point, and the concept of tensor is introduced simply without losing mathematical rigor and physical significance, and the operation of tensor is introduced. The purpose is to reduce the difficulty of tensor teaching in senior and graduate students of physics department.