线性代数在张量分析中的基础作用

Basic role of Linear Algebra in Tensor Analysis

本文给出了高等学校理工科学生所要学习的两门数学类基础课——线性代数和张量分析间的关系,对线性代数在张量分析中的基础作用进行详细论述,旨在让前者的教学及学习更有针对性和实效性,以便更好的发挥它的基础作用,使后者的学习更顺利。

This paper gives us the relationship between linear algebra and tensor analysis which are two basic courses to the science and engineering students in colleges and universities. A detailed exposition about linear algebra playing the basic role in tensor analysis is given, designed to make the teaching and learning of the former be more targeted and effective, in order to play its basic role better and make the learning of the latter more smoothly.