线性代数在几何研究中的应用探究  

The Application of Linear Algebra in Geometric Research

作　　者：刘明昊 朱莉媛 王晓曼 李之健 LIU Minghao;ZHU Liyuan;WANG Xiaoman;LI Zhijian(School of Mathematical Sciences,Yangzhou University,Yangzhou,Jiangsu Province,225002 China)

机构地区：[1]扬州大学数学科学学院,江苏扬州225002

出　　处：《科技创新导报》2020年第27期215-217,共3页Science and Technology Innovation Herald

基　　金：江苏高校品牌专业建设工程资助项目(数学与应用数学,PPZY2015B109);扬州大学本科生科创项目(项目编号:X20190218)。

摘　　要：本文对目前高校几何课程的教学和研究与线性代数理论之间的联系进行了分析。在多年对代数与几何学习研究的基础上,探究了线性代数的理论如何给几何问题的研究带来便利,对如何改变线性代数与几何学课堂教学的现状和提高教学效果有一定的启发,对提高学生对代数与几何的理解与关联以及培养高校学生创新意识和发散性思维有着非常重要的意义。The authors analyze the relationship between the current teaching and research of geometry courses in colleges and the theory of linear algebra.Based on years of research and learning of algebra and geometry,we have explored how the theory of linear algebra can bring convenience to the study of geometric problems.It has some inspirations on how to change the current status of classroom teaching on linear algebra and geometry and improve teaching effect.It is of great significance for undergraduates to cultivate the innovative consciousness and divergent thinking.

关 键 词：线性代数 矩阵 解析几何 高等几何 微分流形 

分 类 号：O151[理学—数学]