Go to the main menu
Skip to content
Go to bottom
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 20, Issue 4 - Nov 2007
Volume 20, Issue 3 - Aug 2007
Volume 20, Issue 2 - May 2007
Volume 20, Issue 1 - Feb 2007
Selecting the target year
DUI DUO SHU in LEE SANG HYUK's IKSAN and DOUBLE SEQUENCES of PARTIAL SUMS
Han, Yong-Hyeon ;
Journal for History of Mathematics, volume 20, issue 3, 2007, Pages 1~16
In order to generalize theory of series in Iksan(翼算), we introduce a concept of double sequence of partial sums and elementary double sequence of partial sums, which play a dominant role in the study of double sequences of partial sums. We introduce a concept of finitely generated double sequence of partial sums and find a necessary and sufficient condition for those double sequences. Finally we prove a multiplication theorem for tetrahedral numbers and for 4 dimensional tetrahedral numbers.
] on the Foundations of Mathematics
Hyun, Woo-Sik ;
Journal for History of Mathematics, volume 20, issue 3, 2007, Pages 17~26
own arguments, this paper explores his views on mathematics, its object, and mathematical intuition. The major claim is that we simply cannot classify the
view as robust Platonism or realism, since it is conceivable that both Platonistic ontology and intuitionistic epistemology occupy a central place in his philosophy and mathematics.
On Euler : His Life and Mathematics, and Euler Archive
Koh, Young-Mee ; Ree, Sang-Wook ;
Journal for History of Mathematics, volume 20, issue 3, 2007, Pages 27~42
Many countries in the world are celebrating the tercentenary of the birth of L. Euler. One of them to notice is the construction of the Euler Archive, which is an online archive, made by two Ph.D. graduates from Dartmouth College. On the appearance of the archive, the authors remind of the life and works of mathematician L. Euler, who is considered as the most prolific, prominent, and versatile mathematician with the huge volume of his works as well as their importances, in the history of mathematics. Celebrating the 300th birthyear of L. Euler and the appearance of Euler Archive, authors suggest The Korean Society for History of Mathematics of investigating on Euler by ourselves as Koreans, and furthermore translating some works of his. Such works may stimulate interests in mathematics and its history to students as well as scholars.
Didactical Applications of the Baduk Pieces Game
Kim, Boo-Yoon ; Lee, Ji-Sung ;
Journal for History of Mathematics, volume 20, issue 3, 2007, Pages 43~58
We review the eastern frog jump game and the western solitaire to apply the Baduk Pieces Game to mathematical education. This study introduce a didactical method of Baduk Pieces Game which is constructed with simplification, generalization, and extension. This didactical applications of the Baduk Pieces Game gives the students opportunities of patterns, generalization, and problem solving strategies.
Evolution of Geometric Interpretation of Complex Number : Focused on Descarte, Wallis, Wessel
Lee, Dong-Hwan ;
Journal for History of Mathematics, volume 20, issue 3, 2007, Pages 59~72
In this paper we find the germ of geometric interpretation of complex number in the Euclid Element and try to show the evolution of geometric interpretation of complex number by through Descarte, Wallis, Vessel. As a result, relations and differences between them are found. They related line with complex number and interpreted complex number geometrically by generalizing the multiplication operation.
Note on the generalized Fourier-Feynman transform on function space
Chang, Seung-Jun ;
Journal for History of Mathematics, volume 20, issue 3, 2007, Pages 73~90
In this paper, we define a generalized Feynman integral and a generalized Fourier-Feynman transform on function space induced by generalized Brownian motion process. We then give existence theorems and several properties for these concepts. Finally we investigate relationships of the Fourier transform and the generalized Fourier-Feynman transform.
On Estimation of Weights for Elementary Mathematics Achievement Factors by Using AHP
Ham, Hyung-Bum ;
Journal for History of Mathematics, volume 20, issue 3, 2007, Pages 91~104
In this paper we study the method to estimate weights of the elementary mathematics achievement factors to get reference index which improves elementary mathematics teaching. For it, we discuss not only a synopsis of AHP but also write out pairwise comparison matrix through statistical survey and estimate weights by eigenvector method.
Patterns of mathematical concepts and effective concept learning - around theory of vectors
Pak, Hong-Kyung ; Kim, Tae-Wan ; Lee, Woo-Dong ;
Journal for History of Mathematics, volume 20, issue 3, 2007, Pages 105~126
The present paper considers how to teach mathematical concepts. In particular, we aim to a balanced, unified achievement for three elements of concept loaming such as concept understanding, computation and application through one's mathematical intuition. In order to do this, we classify concepts into three patterns, that is, intuitive concepts, logical concepts and formal concepts. Such classification is based on three kinds of philosophy of mathematics : intuitionism, logicism, fomalism. We provide a concrete, practical investigation with important nine concepts in theory of vectors from the viewpoint of three patterns of concepts. As a consequence, we suggest certain solutions for an effective concept learning in teaching theory of vectors.
Ground of the revolutionary change in early 20C American Mathematics
Lee, Sang-Gu ; Hwang, Suk-Geun ; Cheon, Gi-Sang ;
Journal for History of Mathematics, volume 20, issue 3, 2007, Pages 127~146
From 1876 to 1883, British mathematician James Joseph Sylvester worked as the founding head of Mathematics Department at the Johns Hopkins University which has been known as America's first school of mathematical research. Sylvester established the American Journal of Mathematics, the first sustained mathematics research journal in the United States. It is natural that we think this is the most exciting and important period in American mathematics. But we found out that the International Congress of Mathematicians held at the World's Columbian Exposition in Chicago, August 21-26, 1893 was the real turning point in American's dedication to mathematical research. The University of Chicago was founded in 1890 by the American Baptist Education Society and John D. Rockefeller. The founding head of mathematics department Eliakim Hastings Moore was the one who produced many excellent American mathematics Ph.D's in early stage. Many of Moore's students contributed to build up real American mathematics research power in early 20 century The University also has a well-deserved reputation as the "teacher of teachers". Beginning with Sylvester, we analyze what E.H. Moore had done as a teacher and a head of the new department that produced many mathematical talents such as L.E. Dickson(1896), H. Slaught(1898), O. Veblen(1903), R.L. Moore(1905), G.D. Birkhoff(1907), T.H. Hilderbrants(1910), E.W. Chittenden(1912) who made the history of American mathematics. In this article, we study how Moore's vision, new system and new way of teaching influenced American mathematical society at early stage of the top class mathematical research. and the meaning that early University of Chicago case gave.
The Analysis of the Development Process of the Law of Cosines and the Study of the Extension through the Demonstration
Kwon, Young-In ; Suh, Bo-Euk ;
Journal for History of Mathematics, volume 20, issue 3, 2007, Pages 147~166
This study is about the law of cosines. It dealt with its historical origin and the developmental process of the age of Greece, Islam and Modern age. Especially, we tried to find out how the extension of the law of cosines for spherical triangles and tetrahedron from the law of cosines for plane was done. On the basis of this analysis, we investigated how the law of cosines was generated and proved it through the logical demonstration and mathematical induction. This made us find out the mathematical meaning of mathematical concepts.
Analysis by reduction in the development of algebra
Kim, Jae-Hong ; Kwon, Seok-Il ; Hong, Jin-Kon ;
Journal for History of Mathematics, volume 20, issue 3, 2007, Pages 167~180
In this study, we explored the role of analysis in the algebra development. For this, we classified ancient geometric analysis into an analysis by reduction and a Pappusian problematic analysis. this shows that both analyses have the function of reduction. Pappus' analysis consists of four steps; transformation, resolution, construction, demonstration. The transformation, by which conditions of given problem is transformed into other conditions which suggest a problem-solving, seems to be a kind of reduction. Mathematicians created new problems as a result of the reductional function of analysis, and became to see mathematics in the different view. An analytical thinking was a background at the birth of symbolic algebra, the reductional function of analysis played an important role in the development of symbolic algebra.