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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 14, Issue 2 - Dec 2001
Volume 14, Issue 1 - Jun 2001
Selecting the target year
조선왕조대 고.징.밀.신율의 원 및 입원적
Journal for History of Mathematics, volume 14, issue 1, 2001, Pages 1~16
To find one side of the square equal to the area of a circle is an unsolved problem. Likewise, to think one side of the cube equal to the volume of a sphere is another unsolved problem. There are four methods to find the area of the circle and the volume of the sphere. This paper aims to weigh each method against the other in finding the answers of the problems in the Chosun Dynasty and investigate their own characters.
각등변형습견에 대한 고찰
Journal for History of Mathematics, volume 14, issue 1, 2001, Pages 17~26
Ri, Sang-Hyeok(1810-\ulcorner) explained in detail and repeatedly solution of problems which find the area and diameter of inscribed and circumscribed circles of regular polygons from a side and find a side of regular polygons from the area of the book Su-Ri-Jeong-On in the chapter ‘Gak-Deung-Byeon-Hyeong-Seup-Yu’ of his book San-Sul-Gwan-Kyeun. The explanation of each question describes the procedure to make the equation in detail, but only presents the solution with few step to solve.
바나하 시대의 바나하 공간 이론
Journal for History of Mathematics, volume 14, issue 1, 2001, Pages 27~34
In this paper, we investigate the development of Banach space theory in the early stage in historical point of view.
피타고라스와 뉴턴 이후의 수학의 왜곡 현상
Journal for History of Mathematics, volume 14, issue 1, 2001, Pages 35~40
There are two epochs when progress in mathematics was distorted or developed improperly In this article, post Pythagorean age and post Newtonian age are the cases and the causes for this are shown.
불교에서 본 무한 개념에 관한 수학적 고찰
Journal for History of Mathematics, volume 14, issue 1, 2001, Pages 41~46
In the western culture, the definition of infinity and finiteness developed into various features, being combined with classical Hebraism and Hellenism, and after modernism, it has been paralleled with natural sciences within the circle of its tradition, whereas the definition of infinity has been showed in Buddhism, the traditional religion, which has been handed down without scientific consideration, in the eastern culture. This is the most notable characteristics between two hemispheres. In this paper, I will show sameness and differences of these two cultures in terms of defining infinity. Also in terms of examining the definition of infinity and finiteness in the Buddhist principles which has been handed down since 600∼500 B.C. I will show how the definition of Buddhist infinity connect with the mathematical definition of today.
Journal for History of Mathematics, volume 14, issue 1, 2001, Pages 47~60
The present study develops the given theme “Mathematics and Reality” along two lines. First, we explore the answers, in its various facets, to the following question: How is it possible that mathematics shows such wondrous efficiency when explaining nature\ulcorner In addition to a comparative analysis between empiricism and rationalism, constructivism as a function of idealism is compared with realism within the frame provided by rationalism. The second step involves limiting our discussion to realism. We attempt to explain the various stages of mathematical realism and their points of difficulty. Postulate of parallels, Godel's theorem, continuum hypothesis and choice axiom are typical examples used in demonstrating undecidable propositions. They clearly show that it is necessary to mitigate the mathematical realism which depends on bivalent logic based on an objective exterior world. Lowenheim-Skolem theorem, which states that reality is composed not of one block but rather of diverse domains, also reinforces this line of thought. As we can see the existence of undecidable propositions requires limiting the use of reductio ad absurdum proof which depends on the concept of excluded middle. Consequently, it becomes obvious that bivalent logic must inevitably cede to a trivalent logic since there are three values involved: true, false, and undecidable.
수학의 실용성에 대하여
Journal for History of Mathematics, volume 14, issue 1, 2001, Pages 61~72
In this paper we collect applications of secondary school mathematics which can be used in classroom instruction. With these applications we can also show the utility of mathematics.
콜모고로프와 수학적 재능에 관한 그의 이론
Journal for History of Mathematics, volume 14, issue 1, 2001, Pages 73~82
In this article we studied one of the greatest mathematicians and pedagogues, A.N. Kolmogorov. He wrote about five hundreds o( books and articles in the fields of pure mathematics and mathematics education. In this paper we in detail introduced Kolmogorov's history of mathematics education and his theory of mathematical abilities, and elaborated this theory. In addition, we suggested some materials which are aimed to develop mathematical abilities in correspondence to the theory of Kolmogorov.
수리철학의 변화와 수학교육관
Journal for History of Mathematics, volume 14, issue 1, 2001, Pages 83~100
The paper analyzes the philosophy of mathematics and outlook on the mathematics education as the philosophy of mathematics in the history of mathematics. We have found that various views of the human society have led us to the various philosophy of mathematics. This change of philosophy have important implications to the didactics of mathematics. This study tries to find out the direction of outlook on the mathematics education in the future.
영의 역사와 영에 얽힌 오류들
Journal for History of Mathematics, volume 14, issue 1, 2001, Pages 101~108
There are two uses of zero which are both important but are different. One use of zero is as a number itself. The number zero is an abstract concept measuring the size of set with no elements in it. The second use of it is as an empty place indicator in our place-value number system. It is the notation. In this paper, we study a history of zero and the mistakes from a few earlier works in connection with some arithmetical operations involving the number zero.
Partially conformal geodesic transformation on the Kahler manifolds
Cho, Bong-Sik ; Seo, You-Mi ;
Journal for History of Mathematics, volume 14, issue 1, 2001, Pages 109~114
Using Fermi coordinate and Jacobi operator on Kahler manifold, we characterize partially conformal geodesic transformation in Kahler geometry.
J-equivalence of representations of finite group G
Journal for History of Mathematics, volume 14, issue 1, 2001, Pages 115~123
In this paper we consider the topological properties of
and show that the induced map
is well defined and renders the diagram commutative.