• Journal for History of Mathematics
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• v.15 no.1
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• pp.99-108
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• 2002

Historically, architecture was part of mathematics and architects were mathematicians. In this paper, we attempted to analyze the architecture from the mathematical point of view and conclude that pursuit of beauty and balance lead to the mathematically rigorous shape. For example, the golden ratio in the Great Pyramid and Parthenon prevail in the modem arts and architecture. We also conclude that mathematics is not invention but discovery at least in the area of architecture.

• Journal for History of Mathematics
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• v.14 no.2
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• pp.93-100
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• 2001

The problem of vagueness has been investigated for a long time by philosophers and mathematicians. There are there approaches in mathematics to the problem, which are probability theory, fuzzy logic, and rough set theory. In this paper I introduce these theories and their meanings.

• Journal for History of Mathematics
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• v.33 no.3
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• pp.135-154
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• 2020

This paper tries to show the formation of 'Kyungpook School' that is a nickname given to mathematicians of Kyungpook National University (KNU). In the early period, the role of professor Park Jung-gi was the most important drive to set the research tradition. He made Korea's first english journal in mathematics, Kyungpook Mathematical Journal KMJ which became a cornerstone for students to join the international academic community. Professor Ki U-hang published the most amount of papers in Korea in 1970s and became a role model for young scholars. In this background, KNU's Topology and Geometry Research Center at KNU was chosen as the only Science Research Center in mathematics in 1989, and KNU's mathematicians could get a long-period support for capable mathematics researchers' community.

• Journal for History of Mathematics
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• v.20 no.1
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• pp.17-32
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• 2007

In this paper, I review the origins, activities, and influences on the future mathematical development of the Analytical Society of Cambridge. The story of the late 18th century Scotland mathematicians and the early 19th century Cambridge mathematician such as Woodhouse, and the Analytical Society's history show that the Analytical Society wasn't a completely new and reformative meeting. This article reveals that the new analytical studies developed characteristically in Britain's specific intellectual and social context of the late 18th century and the early 19th century.

• Journal for History of Mathematics
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• v.30 no.4
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• pp.203-219
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• 2017

As is well known, the most important development in the history of Chinese mathematics is materialized in Song-Yuan era through tianyuanshu up to siyuanshu for constructing equations and zengcheng kaifangfa for solving them. There are only two authors in the period, Li Ye and Zhu Shijie who left works dealing with them. They were almost forgotten until the late 18th century in China but Zhu's Suanxue Qimeng(1299) had been a main reference for the Joseon mathematics. Commentary by Luo Shilin on Zhu's Siyuan Yujian(1303) was brought into Joseon in the mid-19th century which induced a great attention to Joseon mathematicians with a thorough understanding of Zhu's tianyuanshu. We discuss the history that Joseon mathematicians succeeded to obtain the mathematical structures of Siyuan Yujian based on the Zhu's tianyuanshu.

• Journal for History of Mathematics
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• v.23 no.1
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• pp.41-52
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• 2010

Ancient Indian mathematical works, all composed in Sanskrit, usually consisted of a section of sturas in which a set of rules or problems were stated with great economy in verse in order to aid memorization by a student. And rules or problems of the mathematics were transmitted both orally and in manuscript form.Indian mathematicians made early contributions to the study of the decimal number system, arithmetic, equations, algebra, geometry and trigonometry. And many Indian mathematicians were appearing one after another in Ancient. This paper is a comparative study of mathematics developments in ancient India and the other ancient civilizations. We have found that the Indian mathematics is quantitative, computational and algorithmic by the principles, but the ancient Greece is axiomatic and deductive mathematics in character. Ancient India and the other ancient civilizations mathematics should be unified to give impetus to further development of mathematics education in future times.

• Journal for History of Mathematics
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• v.18 no.3
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• pp.79-90
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• 2005

Before the First World War, French mathematicians were leading mathematical community in the world but after the war, there was a vacuum compared with Germany and England. So it was necessary to make everything new in France. Young mathematicians from Ecole Normale Superieur came together to form the Bourbaki group. Bourbaki advanced the view that mathematics is a science dealing with structures, and that it attains its results through a systematic application of the modern axiomatic method. French culture movements, especially structuralism and potential literature, including the Bourbakist endeavor, emerged together, each strengthening the public appeal of the others through constant interaction. In this paper, we investigate Bourbaki's role and their achievements in the twentieth century mathematics, and the decline of Bourbaki.

• Journal for History of Mathematics
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• v.22 no.2
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• pp.117-130
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• 2009

This study shows how to use effectively construction and solution of the quadratic equation developed by mathematicians such as Gyung Sun-jing, Hong Jung-ha, Hong Dae-yong, Lee Sang-hyuk, and Nam Byung-gil through mathematics history of Chosun Dynasty. Mathematics history of Chosun Dynasty can be used in order to enhance comprehension and increase interest in an introduction to the quadratic equation. It also can be used to help motivate middle school students to solve the quadratic equation with much interest during the development phase, and develope conceptual thinking and reflective thinking in the practical phase.

• The Bulletin of The Korean Astronomical Society
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• v.40 no.2
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• pp.38.2-38.2
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• 2015

Development of a new code for magnetohydrodynamic (MHD) phenomena in fusion plasma is under progress through a collaboration between plasma physicists, mathematicians, and astrophysicists. The code employs approaches different from those of existing codes. For instance, it is based on a finite difference scheme of high-order and high accuracy, complying conservation laws. The new code will have characteristics distinguished from those of commonly used code such as M3D and NIMROD. Here we will report the progress of the code development.

• Bulletin of the Korean Mathematical Society
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• v.33 no.2
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• pp.233-241
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• 1996

The study of non-self-adjoint operator algebras on Hilbert space was only beginned by W.B. Arveson[1] in 1974. Recently, such algebras have been found to be of use in physics, in electrical engineering, and in general systems theory. Of particular interest to mathematicians are reflexive algebras with commutative lattices of invariant subspaces.