美国得州拓扑学派的形成  

The Formation of the Topological School of Texas of America

作　　者：胡卓群 刘鹏飞[1] HU Zhuoqun;LIU Pengfei(Research Center of Mathematics Education and History,Jilin Normal University,Siping 136000,China;Institute for the History of Science and Technology,Inner Mongolia Normal University,Hohhot 010022,China)

机构地区：[1]吉林师范大学数学教育与数学史研究中心,吉林四平136000 [2]内蒙古师范大学科学技术史研究院,内蒙古呼和浩特010022

出　　处：《长春师范大学学报》2024年第10期29-36,共8页Journal of Changchun Normal University

基　　金：国家自然科学基金数学天元基金项目“数学史与数学文化高级研讨班”(12126411)。

摘　　要：追溯了美国拓扑学家罗伯特·李·穆尔的学术著作情况以及著名的公理化教学方法,分析了美国得州拓扑学派的成因,总结了穆尔的公理化方法、穆尔的数学工作、穆尔教学法和得州拓扑学派之间的相互作用关系,明确了得州拓扑学派的形成是穆尔的数学工作、穆尔教学法共同作用的结果,而得州拓扑学派的数学工作也反馈了穆尔的数学工作和穆尔教学法的完善。This paper retrospects the academic works of Robert Lee Moore,an American topologist,and his famous axiomatic teaching method.The paper also analyzes the causes of the formation of Topological School of Texas,and summarizes the interaction between Moore s axiomatic method,his mathematical work,his teaching method and the Topological School of Texas.The paper also makes clear that the formation of the Topological School of Texas is the joined result of Moore s mathematical work and his teaching method,and the mathematical work of the Topological School of Texas also reflects the perfection of Moore s mathematical work and his teaching method.

关 键 词：罗伯特·李·穆尔 拓扑学 公理方法 得州拓扑学派 

分 类 号：O189.1[理学—数学]