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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 18, Issue 4 - Nov 2005
Volume 18, Issue 3 - Aug 2005
Volume 18, Issue 2 - May 2005
Volume 18, Issue 1 - Feb 2005
Selecting the target year
Park Yul and His San Hak Won Bon(算學原本)
Kim, Young-Wook ; Hong, Sung-Sa ; Hong, Young-Hee ;
Journal for History of Mathematics, volume 18, issue 4, 2005, Pages 1~16
Chosun dynasty mathematician Park Yul (1621 - ?) wrote San Hak Won Bon(算學原本) which was posthumously published in 1700 by his son Park Du Se (朴斗世). It is the first mathematics book whose publishing date is known, although we have Muk Sa Jib San Bub (默思集算法) by Gyung Sun Jing (慶善徵, 1616-?). San Hak Won Bon is the first Chosun book which deals with tian yuan shu (天元術) and was quoted by many Chosun authors. We do find it in the library in Korea University. In this paper, we investigate its contents together with its historical significance and influences to the development of Chosun dynasty Mathematics and conclude that Park Yul is one of the most prominent Chosun dynasty mathematicians.
A Function and A Role of Blistery and Philosophy of Mathematics
Park, Chang-Kyun ;
Journal for History of Mathematics, volume 18, issue 4, 2005, Pages 17~28
This paper aims to introduce a function and a role of history and philosophy of mathematics. Through historical examples it shows that history and philosophy of mathematics have the function to evaluate mathematics and the role to form it.
Conflict of Synthesis and Analysis: from heuristic until method of projective Geometry
Han, Kyeong-Hye ;
Journal for History of Mathematics, volume 18, issue 4, 2005, Pages 29~38
This Paper discusses the history of the conflicts between synthesis and analysis, from those in heuristic and logic development style in ancient Greek to those in projective geometric methods. The two methods, which originally displayed difference in heuristic, offer the base for the two fields of geometry, the analytic geometry and the synthetic geometry in the 18th century as they originated from the field of geometry. As to the 19th century, they even display antagonistic aspects derived by having other perspectives about the true nature of mathematic but finally lose the reason of conflict as the ancient times when the dialectical sublation of both had been proposed.
Some historical aspects of the development of Mesopotamian Mathematics
Kim, Sung-Sook ;
Journal for History of Mathematics, volume 18, issue 4, 2005, Pages 39~48
Many researchers consider Mesopotamian mathematics as the earliest form of mathematics. The aim of this article is to provide a brief overview of the environmental and social background which made mathematical development. Historically. mathematics is always a product of society. So it is valuable to study historical background which have produced mathematics.
Development of meshfree particle Methods
Lee, Jin-Ho ;
Journal for History of Mathematics, volume 18, issue 4, 2005, Pages 49~66
Finite element Methods(FEM) have been the primary computational methodologies in science and engineering computations for more than half centuries. One of the main limitations of the finite element approximations is that they need mesh which is an artificial constraint, and they need remeshing to solve in some special problems. The advantages in meshfree Methods is to develop meshfree interpolant schemes that only depends on particles, so they relieve the burden of remeshing and successive mesh generation. In this paper we describe the development of meshfree particle Methods and introduce the numerical schemes for Smoothed Particle hydrodynamics, meshfree Galerkin Methods and meshfree point collocation mehtods. We discusse the advantages and the shortcomings of these Methods, also we verify the applicability and efficiency of Meshfree Particle Methods.
Probability research of Wooden Die for Drinking Game as ethnic custom mathematics
Wang, Moon-Ok ; Seo, Jung-Choul ; Lim, In-Kyoung ;
Journal for History of Mathematics, volume 18, issue 4, 2005, Pages 67~84
In this paper, We make mathematics be more interesting and have students participate in class actively through studying the cultural value of mathematics and the ethnic custom mathematics. For studying probability of the usage of Wooden Die for Drinking Game as ethnic custom mathematics which was used in the United Shilla. We study how to apply our methods to our current school curriculum
On Teaching of the Concept of Angle in Education of Mathematics
Park, Hong-Kyung ; Kim, Tae-Wan ; Jung, In-Chul ;
Journal for History of Mathematics, volume 18, issue 4, 2005, Pages 85~100
In recent papers (Pak et al., Pak and Kim), it was suggested to positively use the history of mathematics for the education of mathematics and discussed the determining problem of the order of instruction in mathematics. There are three kinds of order of instruction - historical order, theoretical organization, lecturing organization. Lecturing organization order is a combination of historical order and theoretical organization order. It basically depends on his or her own value of education of each teacher. The present paper considers a concrete problem determining the order of instruction for the concept of angle. Since the concept of angle is defined in relation to figures, we have to solve the determining problem of the order of instruction for the concept of figure. In order to do this, we first investigate a historical order of the concept of figure by reviewing it in the history of mathematics. And then we introduce a theoretical organization order of the concept of figure. From these basic data we establish a lecturing organization order of the concept of figure from the viewpoint of problem-solving. According to this order we finally develop the concept of angle and a related global property which leads to the so-called Gauss-Bonnet theorem.
Paul Erdos and Probabilistic Methods
Koh, Young-Mee ; Ree, Sang-Wook ;
Journal for History of Mathematics, volume 18, issue 4, 2005, Pages 101~112
In this article, we introduce a generous but eccentric genius in mathematics, Paul Erdos. He invented probabilistic methods, pioneered in their applications to discrete mathematics, and estabilshed new theories, which are regarded as the greatest among his contributions to mathematical world. Here we introduce the probabilistic methods and random graph theory developed by Erdos and look at his life in glance with great respect for him.
Historical backgrounds of Quasi-F spaces and minimal quasi-F covers
Kim, Chang-Il ;
Journal for History of Mathematics, volume 18, issue 4, 2005, Pages 113~124
For a Tychonoff space X, C(X) is a Riesz-space. It is well known that C(X) is order-Cauchy complete if and only if X is a quasi~F space and that if X is a compact space and QF(X) is a minimal quasi-F cover of X, then the order- Cauchy completion of C(X) is isomorphic to C(QF(X)). In this paper, we investigate motivations and historical backgrounds of the definition for quasi-spaces and the construction for minimal quasi-F covers.
A note on the historical development for the planar domains and the representative domains
Jeong, Moon-Ja ;
Journal for History of Mathematics, volume 18, issue 4, 2005, Pages 125~134
In this paper we introduce the historical development of the theories for the planar domains. Also we deal with the representative domains of the planar domains and study the properties of the new representative domains.