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REFERENCE LINKING PLATFORM OF KOREA S&T JOURNALS
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Journal for History of Mathematics
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Journal DOI :
The Korean Society for History of Mathematics
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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
Introduction to the Concepts of the Problems in the Sea Mirror
Yoo In-Yeong ; Ko Seung-Jun ;
Journal for History of Mathematics, volume 18, issue 1, 2005, Pages 1~10
Sea Mirror, reflecting the heaven of the circles circumscribed or inscribed, by Li Zhi of Yuan Dynasy(1271-1368) was resolved by Li Rui(1773-1817) and added by the new four rules not solved. In the Chosun Dynasty, Nam Byung Churl resolved the problems of the Sea Mirror of the circle measurement and the preface was written by his younger brother Nam Byung Gil(1820-1869). In this paper, the concepts of the problems in the Sea Mirror and its three problems will be introduced.
Mathematics Education of the Chosun Dynasty Based on the Chosun Dynasty Authentic Record
Park Hyung Bin ; Bang Joo Hyun ;
Journal for History of Mathematics, volume 18, issue 1, 2005, Pages 11~32
This paper is a comprehensive study of mathematics education in the Chosun Dynasty. The basis of this work relies on actual historical records from the period. As shown in the records, mathematics education during the Chosun Dynasty remained at the level of basic arithmetics. The arithmeticians of the Chosun Dynasty did not have an understanding of more complex mathematical thought. But the simple arithmetics of the Chosun Dynasty facilitated the building up of a unique merchant 'middle class.' So this paper examines the development of mathematics in the Chosun Dynasty through middle class. Although the Chosun Dynasty arithmetics occupy a significant part of mathematics history, this paper details why their thought did not evaluate more advanced mathematical theories.
The Excess and Deficit Rule and The Rule of False Position
Chang Hyewon ;
Journal for History of Mathematics, volume 18, issue 1, 2005, Pages 33~48
The Rule of False Position is known as an arithmetical solution of algebraical equations. On the other hand, the Excess-Deficit Rule is an algorithm for calculating about excessive or deficient quantitative relations, which is found in the ancient eastern mathematical books, including the nine chapters on the mathematical arts. It is usually said that the origin of the Rule of False Position is the Excess-Deficit Rule in ancient Chinese mathematics. In relation to these facts, we pose two questions: - As many authors explain, the excess-deficit rule is a solution of simultaneous linear equations？ - Which relation is there between the two rules explicitly？ To answer these Questions, we consider the Rule of Single/Double False Position and research the Excess-Deficit Rule in some ancient mathematical books of Chosun Dynasty that was heavily affected by Chinese mathematics. And we pursue their historical traces in Egypt, Arab and Europe. As a result, we can make sure of the status of the Excess-Deficit Rule differing from the Rectangular Arrays(the solution of simultaneous linear equations) and identify the relation of the two rules: the application of the Excess-Deficit Rule including supposition in ancient Chinese mathematics corresponds to the Rule of Double False Position in western mathematics. In addition, we try to appreciate didactical value of the Rule of False Position which is apt to be considered as a historical by-product.
Counting Rods and Abacus
Her Min ;
Journal for History of Mathematics, volume 18, issue 1, 2005, Pages 49~66
We briefly survey the history of abacus and counting rods which had been most widespread devices for arithmetical calculations. And we explain and compare the methods and principles of calculation on the abacus and counting rods. Only multiplication and division are presented here with examples. In these course we can see that the principles of calculation on the abacus are inherited from that of calculation on the counting rods. We also discuss the educational value of the abacus.
A Study on the Thoughts and Problems of Philosophy of Mathematics
Lee Keon Chang ;
Journal for History of Mathematics, volume 18, issue 1, 2005, Pages 67~74
The purpose of this paper is to analysis with contents on thoughts and problems of philosophy of mathematics concerning around harmonical types of metaphysics and philosophy of mathematics. Moreover, we were gratefully acknowledged that the questions at issue of metaphysics and philosophy of mathematics are possible only in a philosophical position of mathematics in relation to nature of mathematical ion. These attitudes, important as they are in the study of an individual thinker, also have a pronounced effect on the future relation of mathematics to philosophy. And we can guess that many mathematician's research will have significant meaning in the future.
On the History and the Irreducible Characters in Group Representations
Wang Moon-ok ; Lee Kwang-suk ;
Journal for History of Mathematics, volume 18, issue 1, 2005, Pages 75~84
In this paper, we know the historical background in group representations and prove the properties such that a finite group G has non-trivial abelian normal subgroup in some condition for the irreducible character G and prove the properties of product of irreducible characters of finite groups.
A Note on Recent Developments in Harmonic Maps
Park Ki-sung ;
Journal for History of Mathematics, volume 18, issue 1, 2005, Pages 85~92
We review the well known analogizes between variations and harmonic maps. Second section contains rapid summary of the harmonic maps. In the third section we establish some basic properties of the Laplacian on Sphere. In particular we compute its spectrum and eigenfunctions.
A History of Dynamical System and the H-Shadowing
Kim Jong Myung ; Yoo Taeg-min ;
Journal for History of Mathematics, volume 18, issue 1, 2005, Pages 93~102
In this paper, we introduce the history of dynamical systems and the notion of the H-shadowing property. And we study some relationships between the H-shadowing property and other dynamical properties such as expansivity and topological stability
A Historical Background of Graph Theory and the Computer Representation
Kim Hwa-jun ; Han Su-young ;
Journal for History of Mathematics, volume 18, issue 1, 2005, Pages 103~110
This paper is aimed at studying a historical background of graph theory and we deal with the computer representation of graph through a simple example. Graph is represented by adjacency matrix, edge table, adjacency lists and we study the matrix representation by Euler circuit. The effect of the matrix representation by Euler circuit economize the storage capacity of computer. The economy of a storage capacity has meaning on a mobile system