摘要
"爱尔兰根纲领"是几何学史上一篇划时代的文献,它提出的"变换下的几何不变量"思想对几何、代数乃至其后整个数学的发展都产生了广泛而深刻的影响.然而,这一重要思想在高等数学中的体现和应用却鲜为人注意.为此,本文详细探讨了"爱尔兰根纲领"的思想在高等数学内容中的体现以及它在高等数学中的应用.
＇Erlangen Program＇ is one of the landmarks in the history of geometry development. Its concept of ＂geometrical invariant under transformation groups＂ has a broad and profound influence on geometry , algebra and even the whole development of mathematics. But the demonstration and application of the important concept in advanced mathematics are under rare attention. So the paper goes into detail about the concept＇s demonstration and application in advanced mathematics.
出处
《大学数学》
2013年第5期148-151,共4页
College Mathematics
关键词
爱尔兰根纲领
不变量思想
数学思想方法
Erlangen program
concept of invariant
the mathematics thought
