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微分几何的教学地位与方法
引用本文:孙和军,赵培标,陈大广.微分几何的教学地位与方法[J].数学学习,2011,14(1):101-103.
作者姓名:孙和军  赵培标  陈大广
作者单位:孙和军,赵培标,SUN He-jun,ZHAO Pei-biao(南京理工大学理学院应用数学系,江苏,南京,210094);陈大广,CHEN Da-guang(清华大学数学科学系,北京,100084)
基金项目:江苏省研究生教育教学改革研究课题,南京理工大学自主科研专项计划基金
摘    要:结合教学实践.阐述微分几何在本科教学中的重要作用,提出改进微分几何教学方式的几点想法.指出数与形应相结合,从而可实现学生逻辑思维能力与直觉思维能力的全面发展.

关 键 词:微分几何  教学方法  数形结合

Differential Geometry in Undergraduate Teaching
SUN He-jun,ZHAO Pei-biao,CHEN Da-guang.Differential Geometry in Undergraduate Teaching[J].Studies In College Mathematics,2011,14(1):101-103.
Authors:SUN He-jun  ZHAO Pei-biao  CHEN Da-guang
Institution:1. Department of Applied Mathematics , Nanjing University of Science and Technology , Nanjing 210094, 2. Department of Mathematics, Tsinghua University, Beijing 10.0084, PRC)
Abstract:Based on the outcome of teaching, we show the important role of differential geometry in undergraduate teaching and list some suggestions. By promoting numbers and figures combined, we can assist the all-round developments of students' logical thinking and intuitive thinking abilities.
Keywords:differential geometry  method of teaching  combination of number and figure
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