• Journal for History of Mathematics
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• v.28 no.5
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• pp.249-262
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• 2015

Simon Stevin, a mathematician active in the Netherlands in early seventeenth century, parlayed his mathematical talents into improving navigation skills. In 1605, he introduced a technique of calculating the distance of loxodrome employed in long-distance voyages in his book, Navigation. He explained how to calculate distance by 8 different angles, and even depicted how to make a copper loxodrome model for navigators. Particularly, Stevin clarified in the 7th copper loxodrome model on the unique features of equiangular spiral curve that keeps spinning and gradually accesses from the vicinity to the center. These findings predate those of Descartes on equiangular spiral curve by more than 30 years. Navigation, a branch of actual mathematics devised for the survival of sailors on the bosom of the ocean, was also the first step to the discovery of new mathematical object.

• Journal for History of Mathematics
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• v.23 no.4
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• pp.47-58
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• 2010

This study suggests new interpretation about ancient mathematician Archimedes' 'method'. For this, we examined the core issue related to the interpretation of the 'method' and identified the unclear relation between the principle of the lever and the indivisibles, both of which have consisted of the main point of arguments. And by having conducted the exploratory historical guesswork about Archimedes' careful use of indivisibles, we make a hypothesis that the role of the principle of the lever in Archimedes' 'method' should be the control of ratio of change.

• Journal for History of Mathematics
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• v.18 no.3
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• pp.1-24
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• 2005

Although indeterminate equations were dealt in Jiu zhang suan shu and then in Sun zi suan fing and Zhang Giu Jian suan Jing in China, they did not get any substantial development until Qin Jiu Shao introduced da yan shu in his great book Shu shu jiu zhang which solves goneral systems of linear congruences. We first investigate his da yan shu and then study the history of indeterminate equations in Chosun Dynasty. Further, we compare Qin's da yan shu with that in San Hak Jung Eui written by Chosun mathematician Nam Byung Gil.

• International Journal of Advanced Culture Technology
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• v.8 no.2
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• pp.28-33
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• 2020

The Chemist Antoine-Laurent Lavoisier and mathematician Pierre Simon Laplace, who conducted a collaborative research on heat phenomena, are two of the key figures that represent French scientific community in the late 18th century. They joined hands together to understand heat phenomena that had not been fully explained until that time. They studied heat phenomena based on a heat particle model called 'caloric' and this study further expanded into light, magnetism and electricity, laying groundwork for many other research achievements afterwards. This article goes through their individual researches and looks into the process of their joint research based on the analysis of their publications. Further to these, it emphasizes its continuity with the Laplacian Program, a large-scale research project conducted in the early 19th century. Lastly, this article presents how science can merge with history, and at the same time, introduces the prerequisites for successful convergence research through existing research cases.

• Journal for History of Mathematics
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• v.18 no.1
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• pp.67-74
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• 2005

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.

• Korean Institute of Interior Design Journal
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• no.39
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• pp.12-19
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• 2003

M.C Escher was not a mathematician or architect, but a visual graphic woodblock artist. He expresses space in various angles such as illusion and space not represented in reality, repetition, geometric pattern and change in space vision. However, as his works represent the impossible space which is virtually not exist in reality, they were examined numerically by scientists and mathematicians rather than by designers. Because his distinctive approach to view space, his works have been highly evaluated by scholars in various fields. Based on the previous research by mathematicians and scientists, this study will examine the sp- atial logic was represented visually in the works of M.C Escher and find out the possible and adoptable alternatives for new space design and provide the design application direction in the expression of interior space.

• Journal of applied mathematics & informatics
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• v.37 no.5_6
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• pp.341-349
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• 2019

This paper is concerned to investigate M-Wright function, which was earlier known as transcendental function of the Wright type. M-Wright function is a special case of the Wright function given by British mathematician (E.Maitland Wright) in 1933. We have explored the cosequences of Riemann-Liouville Integral and Differential operators on M-Wright function. We have also evaluated integral transforms of the M-Wright function.

• Communications of Mathematical Education
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• v.25 no.2
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• pp.341-360
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• 2011

This paper deals with contents that Sang-Seol Lee contributed to the natural science in the 19th century Korea. Prof. Sung-Rae Park, the science historian, called Sang-Seol Lee Father of the Modern Mathematics education of Korea. Sang-Seol Lee wrote a manuscript Botany with a brush in late 19th century. Botany was transcribed from Science Primers: Botany (written by J. D. Hooker), which is translated into Chinese by Joseph Edkins in 1886. The existence of Sang-Seol Lee's book Botany was not known to Korean scientists before. In this paper, we study the contents of Botany and its original text. Also we analyze people's level of understanding Western sciences, especially botany at that time. In addition, we study authors of 16 Primers jar Western Knowledge. We study the contribution of mathematician Sang-Seol Lee to science education in the 19th century Korea.

• East Asian mathematical journal
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• v.32 no.4
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• pp.483-500
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• 2016

Ancient Greek mathematician Euclid left three books about mathematics. It's 'The elements', 'The data', 'On divisions of figure'. This study is based on the analysis of Euclid's 'On divisions of figure'. 'On divisions of figure' is a book about the construction of the shape. Because, there are thirty six proposition in 'On divisions of figure', among them 30 proposition are for the construction. In this study, based on the 'On divisions of figure' we explore the direction for construction education. The results were as follows. First, the proposition of 'On divisions of figure' shall include the following information. It is a 'proposition presented', 'heuristic approach to the construction process', 'specifically drawn presenting', 'proof process'. Therefore, the content of textbooks needs a qualitative improvement in this way. Second, a conceptual basis of 'On divisions of figure' is 'The elements'. 'The elements' includes the construction propositions 25%. However, the geometric constructions contents in middle school area is only 3%. Therefore, it is necessary to expand the learning of construction in the our country mathematics curriculum.

• 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.