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REFERENCE LINKING PLATFORM OF KOREA S&T JOURNALS
> Journal Vol & Issue
Journal for History of Mathematics
Journal Basic Information
Journal DOI :
The Korean Society for History of Mathematics
Editor in Chief :
Volume & Issues
Volume 19, Issue 4 - Nov 2006
Volume 19, Issue 3 - Aug 2006
Volume 19, Issue 2 - May 2006
Volume 19, Issue 1 - Feb 2006
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Finite Series in Chosun Dynasty Mathematics
Hong Sung-Sa ;
Journal for History of Mathematics, volume 19, issue 2, 2006, Pages 1~24
We study the theory of finite series in Chosun Dynasty Mathematics. We divide it into two parts by the publication of Lee Sang Hyuk(李尙爀, 1810-?)'s Ik San(翼算, 1868) and then investigate their history. The first part is examined by Gyung Sun Jing(慶善徵, 1616-?)'s Muk Sa Jib San Bub(默思集算法), Choi Suk Jung(崔錫鼎)'s Gu Su Ryak(九數略), Hong Jung Ha(洪正夏)'s Gu Il Jib(九一集), Cho Tae Gu(趙泰耉)'s Ju Su Gwan Gyun(籌書管見), Hwang Yun Suk(黃胤錫)'s San Hak Ib Mun(算學入門), Bae Sang Sul(裵相設)'s Su Gye Soe Rok and Nam Byung Gil(南秉吉), 1820-1869)'s San Hak Jung Ei(算學正義, 1867), and then conclude that the theory of finite series in the period is rather stable. Lee Sang Hyuk obtained the most creative results on the theory in his Ik San if not in whole mathematics in Chosun Dynasty. He introduced a new problem of truncated series(截積). By a new method, called the partition method(分積法), he completely solved the problem and further obtained the complete structure of finite series.
Mathematics of Chosun Dynasty and
Hong Young-Hee ;
Journal for History of Mathematics, volume 19, issue 2, 2006, Pages 25~46
We investigate the process of western mathematics into Chosun and its influences. Its initial and middle stages are examined by Choi Suk Jung(崔錫鼎,
)'s Gu Su Ryak(九數略), Hong Jung Ha(洪正夏,
)'s Gu Il Jib(九一集) and Hwang Yun Suk(黃胤錫,
)'s I Su Shin Pyun(理藪新編), Hong Dae Yong(洪大容,
)'s Ju Hae Su Yong(籌解需用), respectively. Western mathematics was transmitted for the study of the Shi xian li(時憲曆) when it was introduced in Chosun. We also analyze Su Ri Jung On Bo Hae(數理精蘊補解, 1730?) whose author studied
most thoroughly, in particular for astronomy, and finally Lee Sang Hyuk(李尙爀,
), Nam Byung Gil(南秉吉,
) who studied together structurally western mathematics.
Life and Thought - An Essay for Philosophy of Blank Space
Park Chang-Kyun ;
Journal for History of Mathematics, volume 19, issue 2, 2006, Pages 47~58
This paper aims to introduce
life and thought, and insists that implication of the incompleteness theorem is saving blank space. The space has epistemological and ethical meaning, and I argue that the implication supports philosophy of blank space.
Mathematics and Arts of Renaissance on the Chaotic Perspective
Kye Young-Hee ; Oh Jin-Kyoug ;
Journal for History of Mathematics, volume 19, issue 2, 2006, Pages 59~76
This research focuses on the relationship between mathematics and visual art from a perspective of chaos theory which emerged under the influence of post-modernism. Culture and history, which transform dynamically with the passing of time, are models of complexity. Especially, when the three periods of Medieval, Renaissance, and 17-18 Centuries are observed, the Renaissance period is phase transition phenomenon era between Medieval and 17-18 Centuries. The transition stage between the late Medieval times and the Renaissance; and the stage between the Renaissance and the Modern times are also phase transitions. These phenomena closely resemble similarity in Fractal theory, which includes the whole in a partial structure. Phase transition must be preceded by fluctuation. In addition to the pioneers' prominent act of creation in the fields of mathematics and visual an serving as drive behind change, other socio-cultural factors also served as motivations, influencing the transformation of the society through interdependency. In particular, this research focuses on the fact that scientific minds of artists in the Renaissance stimulated the birth of Perspective Geometry.
J. J. Sylvester, F. Klein and American Mathematics in 19th Century
Lee Sang-Gu ; Ham Yoon-Mee ;
Journal for History of Mathematics, volume 19, issue 2, 2006, Pages 77~88
In 1876, America's first Jewish math professor J. J. Sylvester took a department head position at the first research university in USA at the age of 61. He launched the America's first research journal of mathematics in 1877. We study the role and meaning of J. J. Sylvester, F. Klein and E. H. Moore in late 19th century of American mathematics from Korean's perspective.
Mathematics Education for Alternative Schools using History of Mathematics
Han Gil-Jun ; Lee Ki-Hwan ;
Journal for History of Mathematics, volume 19, issue 2, 2006, Pages 89~100
There are currently various types of alternative schools which has diverse goals and traits in Korea. Education suited to educational principles can't be carried out, as long as mathematics education in alternative schools is same as one in the regular schools. In this thesis the problems of mathematics education which is conducted in alternative schools for maladjusted students will be examined in three aspects of teaching contents, teaching methods, and teaching environments. And we will study about mathematics education that use mathematical history as one way of mathematics education for the alternative school students.
A review on the change of content and method of geometry in secondary school with a focus on the proportional relations of geometric figures
Kwon Seok-Il ; Hong Jin-Kon ;
Journal for History of Mathematics, volume 19, issue 2, 2006, Pages 101~114
The content and method of geometry taught in secondary school is rooted in 'Elements' by Euclid. On the other hand, however, there are differences between the content and structure of the current textbook and the 'Elements'. The gaps are resulted from attempts to develop the geometry education. Specially, the content and method for the proportional relations of geometric figures has been varied. In this study, we reviewed the changes of the proportional relations of geometric figures with pedagogical point of view. The conclusion that we came to is that the proportional relations in incommensurable case Is omitted in secondary school. Teacher's understanding about the proportional relations of geometric figures is needed for meaningful geometry education.
On the study of Waterman with respect to Bounded Variation
Kim Hwa-Jun ;
Journal for History of Mathematics, volume 19, issue 2, 2006, Pages 115~124
Functions of bounded variation were discovered by Jordan in 1881 while working out the proof of Dirichlet concerning the convergence of Fourier series. Here, we investigate Waterman's study with respect to bounded variation and its application on a closed bounded interval. The value of his study is whether Dirichlet-Jordan theorem holds in which function classes or not and summability method is what modifies its Fourier coefficients to make resulting series converge to the associated function. We have a view that the directions of future research with respect to bounded variation are two things; one is to find the function spaces which are larger than HBV and smaller than
, and the other is to find a fields of applications.
Genesis and development of Schur rings, as a bridge of group and algebraic graph theory
Choi Eun-Mi ;
Journal for History of Mathematics, volume 19, issue 2, 2006, Pages 125~140
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.