• Journal for History of Mathematics
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• v.16 no.2
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• pp.1-10
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• 2003

The mathematicians in the chosun dynasty ages had widely manipulated the beautiful mathematical problems by using the Pythagorean Theorem. This paper is intended to introduce some problems using the approximate values of ratios.

• Journal for History of Mathematics
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• v.12 no.2
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• pp.63-82
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• 1999

The ways of mathematical meditative concentration of one's attentive calculation are the important records of the mathematics in the Korean mathematical history. Through them, we can find the methods of the mathematical thinking several generations ago, and presume the styles of life in the Chosun dynasty as men see the ancient life by the fossils. Thus we need to see them out of our unconcerns and rearrange them from the disorder without distortions.

• Journal for History of Mathematics
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• v.17 no.1
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• pp.1-14
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• 2004

Iksan(翼算) written by Lee Sang Hyuk(李相赫, 1810∼\ulcorner) is unique among mathematical books published in Chosun Dynasty since it is the only book which accomplishes the conceptualization of theory of equations if not that of mathematics itself. We investigate its process by his other publications and mathematical interaction with Nam Byung Gil(南秉吉, 1820∼1869).

• Journal for History of Mathematics
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• v.17 no.1
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• pp.15-32
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• 2004

In this article we survey the sequences and the series in Mooksajipsanbup(默思集算法) which is the seventeenth century mathematics book of Chosun dynasty. First, we classify them into three categories: arithmetics, geometric, and general sequences (series). And then we explore the old methods to find the values of terms and the sum of terms.

• Journal for History of Mathematics
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• v.19 no.3
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• pp.21-42
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• 2006

We investigate chinese mathematicians and their works including their books. We also compare the present transcription of chinese mathematicians and their mathematics books with that in published books on history of chinese mathematics.

• Journal for History of Mathematics
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• v.11 no.1
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• pp.1-9
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• 1998

This article explores what is the genuine Koreanness in Korean arithmetic by examining what kind of influence the Chinese arithmetic had on the Korean arithmetic and how the Korean arithmetic scholars had accepted and utilized it. Because the main stream of Korean culture before the end of Chosun dynasty was located under the umbrella of the Chinese philosophy, technique, and culture, it is necessary to make researches on the historical documents and materials in order to establish the milestone in the Korean arithmetic history for the Korean arithmetic scholars. For this research, the arithmetic books published in between the sixteenth century and the end of Chosun dynasty are mainly consulted and discussed, dealing with the bibliographical introduction in the arithmetic Part in Re Outline History of the Korean Science & Technology written by Prof. Yong-Woon Kim.

• Journal for History of Mathematics
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• v.20 no.1
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• pp.1-16
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• 2007

In the 19th century, Chosun mathematicians studied the most distinguished mathematicians Qin Jiu Shao(泰九韶), Li Ye(李治) Zhu Shi Jie(朱世傑) in Song(宋), Yuan(元) Dynasty and they established a solid theoretical development on the theory of equations. These studies began with their study on Si yuan yu jian xi cao(四元玉鑑細艸) compiled by Luo Shi Lin(羅士琳). Among those Chosun mathematicians, Lee Sang Hyuk(李尙爀, $1810{\sim}?$) and Nam Byung Gil(南秉吉 $1820{\sim}1869$) contributed prominently to the research. Relating to Si yuan yu jian xi cao, Nam Byung Gil and Lee Sang Hyuk compiled OgGamSeChoSangHae(玉監細艸詳解) and SaWonOgGam(四元玉鑑), respectively and then later they wrote SanHakJeongEi(算學正義) and IkSan(翼算), respectively. The latter in particular contains most creative results in Chosun Dynasty mathematics. Using these books, we study the relation between the development of Chosun mathematics and Si yuan yu jian.

• Journal for History of Mathematics
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• v.13 no.2
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• pp.23-32
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• 2000

Using some units of length, weight and time, human beings have constructed their own cultures in many regions on earth. This paper aims to study the applied methods of Ching and Pil, i.e. the units of length and weight in the Chosun dynasty and to investigate their meanings.

• Journal for History of Mathematics
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• v.15 no.1
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• pp.57-68
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• 2002

Mathematical problems are classified into two families, i.e. the solvable ones and the others. There are some such problems in the documentary records of tile Chosun Dynasty ages. In those days, a ‘normal right triangle’ whose ratio of the three sides in the triangle is 3 : 4 : 5 was defined and had been used tacitly. This paper intends to introduce the problems having errors.

• Journal for History of Mathematics
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• v.14 no.2
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• pp.1-12
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• 2001

Considering the four arithmetical operations, the operations over some problems in the second half periods of Chosun Dynasty were dealt in the different dimensions were not reasonable and tile units of the dimensions were neglected. This paper aims to introduce some questionable solved problems related to tile equations higher than tile second degree.