• Communications of Mathematical Education
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• v.28 no.3
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• pp.367-374
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• 2014

Recently, interdisciplinary relation is emphasized on and various models are proposed. Since group theory is one of the important areas of modern mathematics, all the mathematics teachers for secondary school are familiar with it. Group theory, the theory of symmetries, are effectively applied to music or arts. In this paper, we understand the approximation model for gwaeyul of geomungo group theoretically to show the relation between mathematics and music(Korean music, in particular). This paper, in fact, proposes a group theoretic approximation model for gwaeyul of geomungo. The materials like this will be of help to teachers who try to integrate mathematics to other areas.

• Proceedings of the Korea Crystallographic Association Conference
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• 2000.05a
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• pp.18-18
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• 2000

• Review of KIISC
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• v.2 no.2
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• pp.93-97
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• 1992

• The Science & Technology
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• s.512
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• pp.60-61
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• 2011

• The Science & Technology
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• v.18 no.10 s.197
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• pp.67-75
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• 1985

• Proceedings of the Korean Society for History of Mathematics Conference
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• 2000.11a
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• pp.7.2-7.2
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• 2000

• Journal for History of Mathematics
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• v.13 no.2
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• pp.33-40
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• 2000

This paper deals with the development of early group theory. We first investigate how the concept of abstract groups has emerged as a generalization of groups of substitution(=permutation groups) which strongly relate the theory of equations.

• The Magazine of the IEIE
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• v.11 no.1
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• pp.11-18
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• 1984

부호이론(coding theory)은 그 내용이 매우 광범위할 뿐 아니라 군론, 환론, 본론 등 축예대수학과 확율론 및 수리통계학을 배경으로 발전된 학문이기 때문에 일반 속자를 상대로 논술하기에는 적지 않은 난점이 있다. 그렇다고 단순히 용어나열에만 그칠 수도 없고, 이론에 치중한 논문식으로 쓸수도 없으므로 대학 4년생을 위한 강의수준으로 소개하겠으며 3회에 걸쳐 선형부호(linear code), 순회부호(cyclic code), 길쌈부호(convolutional code)의 순으로 연재하기로 하겠다.

• Journal for History of Mathematics
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• v.19 no.2
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• pp.125-140
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• 2006

In 1933, I. Schur introduced a Schur ring in connection with permutation group and regular subgroup. After then, it was studied mostly for purely group theoretical purposes. In 1970s, Klin and Poschel initiated its usage in the investigation of graphs, especially for Cayley and circulant graphs. Nowadays it is known that Schur ring is one of the best way to enumerate Cayley graphs. In this paper we study the origin of Schur ring back to 1933 and keep trace its evolution to graph theory and combinatorics.

• Journal for History of Mathematics
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• v.17 no.4
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• pp.77-86
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• 2004

Felix Klein profoundly influenced mathematical developments throughout the world by showing a new direction for modem geometry. He also influenced the lives of excellent scientists like Einstein by reforming mathematical education. The first Felix Klein medal of the Internal Commission on Mathematical Instruction was awarded at ICME-10 in July of 2004. In this article, we discuss Klein's Erlangen Program and investigate his influence on modem mathematics and mathematical education with this medal as momentum.