Browse > Article

http://dx.doi.org/10.14477/jhm.2015.28.4.167
###

A Visualization of the Solution of Truncated Series |

Lee, Kyung Eon (Dept. of Math. Edu., Jeju National Univ.) |

Publication Information

Abstract

We study the solution of truncated series of Lee Sang-hyeog with the aspect of visualization. Lee Sang-hyeog solved a problem of truncated series by 4 ways: Shen Kuo' series method, splitting method, difference sequence method, and Ban Chu Cha method. As the structure and solution of truncated series in tertiary number is already clarified with algebraic symbols in some previous research, we express and explain it by visual representation. The explanation and proof of algebraic symbols about truncated series is clear in mathematical aspects; however, it has a lot of difficulties in the aspects of understanding. In other words, it is more effective in the educational situations to provide algebraic symbols after the intuitive understanding of structure and solution of truncated series with visual representation.

Keywords

Lee Sang-hyeog; theory of finite series; truncated series; splitting method; difference sequence method;

Citations & Related Records

- Reference

1 | Hong Sung Sa, Finite Series(堆垜術) in Chosun Dynasty Mathematics, The Korean Journal for History of Mathematics 19(2) (2006), 1-24. 홍성사, 朝鮮算學의 堆垜術, 한국수학사학회지 19(2) (2006), 1-24. |

2 | Kim Yong Woon ed. HanGookGwaHakGiSoolSaJaRyoDaeGye, SooHakPyun, YeoGang Publishing Co., 1985. 韓國科學技術史資料大系, 數學編, 1卷-10卷, 驪江出版社, 1985. |

3 | Lee Kyung Eon, Finite Series in East Asian Mathematics, Doctoral Dissertation of Korea National University of Education, 2011. 이경언, 동양산학의 유한급수론, 한국교원대학교 박사학위 논문, 2011. |

4 | Lee Sang Heog, IkSan, KyoWooSa, 2006. 李尙爀, 翼算, 홍성사 역, 교우사, 2006. |