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抽象代数在初等数论教学中的运用 被引量:1

Abstract Algebra Used in the Teaching of Elementary Number Theory
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摘要 我们解释在初等数论教学中如何运用抽象代数知识帮助学生更好地理解同余,原根,指标,以及特征等概念,作为这一方法的例证,我们尝试对文\cite{my}中的某些章节进行新的阐述. We explain how to use knowledge of abstract algebra in the teaching of elementary number theory in order to help the students understand better the concepts such as congruence, primitive roots, indices and characters, etc. As an illustration of this method we attempt to offer a new presentation of some sections of [ 9 ].
作者 陶利群
出处 《洛阳师范学院学报》 2013年第5期16-19,23,共5页 Journal of Luoyang Normal University
基金 partially supported by the Natural Science Research Project of theEducation Department of Henan Province(Grant:2011B110022)
关键词 组合论 初导数论 group theory elementary number theory
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参考文献16

  • 1Boverich Z I, Shavarevich I R. Number Theory [ M ]. Aca- demic Press, 1966.
  • 2Feng K Q, Li S Z, Zhang P. Introduction to Modem Alge- bra[ M ]. University of Science and Technology of China Press, Hefei, 2009.
  • 3Hardy G H, Wright E M. An Introduction to the Theory of Numbers[ M]. Posts and Telecom Press, Beijing, 2009.
  • 4Hua L K. Introduction to Number Theory (in Chinese) [ M ]. Science Press, Beijing, 1995.
  • 5Ireland K, Rosen M. A Classical Introduction to Modem Number Theory [ M ]. Beijing World Publishing Coopera- tion, Beijing, 2003.
  • 6Kato K, Kurokawa N ,Saito T. Number Theory 1 : Fermat's Dreams and Class Field Theory (in Chinese, translated by Xu Mingwei and Yin Linsheng) [ M ]. Higher Education Press, Beijing, 2009.
  • 7Zhao Ke, Sun Q. Lectures on Number Theory [ M ]. Higher Education Press, Beijing, 2003.
  • 8Jones G A, Jones J M. Elementary Number Theory [ M ]. Beijing World Publishing Cooperation, Beijing, 2008.
  • 9Min, Yah S J. Elementary Number Theory (in Chinese) [ M ]. Higher Education Press, Beijing, 2003.
  • 10Nathanson M B. Elementary Methods in Number Theory[ M ]. Beijing World Publishing Cooperation, Beijing, 2003.

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