• Journal for History of Mathematics
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• v.19 no.3
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• pp.21-42
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• 2006

We investigate chinese mathematicians and their works including their books. We also compare the present transcription of chinese mathematicians and their mathematics books with that in published books on history of chinese mathematics.

• Journal for History of Mathematics
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• v.27 no.4
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• pp.299-310
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• 2014

Computer is a modern day invention integrated with mathematics, engineering, and logics. The purpose of this study is to examine mathematicians' roles and influences on the invention, establishment, and developments of computers, particularly in the areas of hardware and software, and to emphasize the importance of mathematics on the computer sciences. To implement these purposes, this study firstly examines the mathematicians based on the period. Secondly from the mathematicians' roles in the development of programming, the correlation between mathematics and computers has been investigated. Finally, mathematicians who gave influence on establishing the current development of computer science are highlighted.

• Journal for History of Mathematics
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• v.16 no.2
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• pp.35-42
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• 2003

It is well known that a lot of mathematical theories of many famous mathematicians had scholarly effects on Isaac Newton. Nonetheless, his private internal view or attitude to natural philosophy is not so much known. In this paper we will approach him via his famous book Principia an physics and mathematics, considering the influences acted on him by mathematicians in the history of mathematics.

• Journal for History of Mathematics
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• v.26 no.1
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• pp.21-32
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• 2013

The outbreak of the First and the Second World Wars cast great shadow across the Europe including mathematical society. The IMU led by French mathematicians after the First World War ceased to exist because it was used politically. As Europe ran into the Second World War, all the international mathematical activities were ceased. Prominent mathematicians were put into camp by Nazi or moved to the United States of America. After the war, European mathematicians did not have capacity to represent the international mathematical society anymore. This led Stone and other American mathematicians to form the new IMU, which was independent of political ideology. This paper studies the birth process of the new IMU after the War and some major events that happened to ICM in 1950s.

• The Mathematical Education
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• v.44 no.1 s.108
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• pp.87-101
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• 2005

The purpose of this paper is to propose a teaching method which is focused on the mathematical thinking skills such as the use of induction, counter example, analogy, and so on mathematicians use when they explore their research fields. Many have indicated that students have learned mathematics exploring to use very different methods mathematicians have done and suggested students explore as they do. In the first part of the paper, the plausible whole processes from the beginning time they get a rough idea to a refined mathematical truth. In the second part, an example with Euler characteristic of 1. In the third, explaining the same processes with ${\pi}$, a model modified from the processes is designed. It is hoped that the suggested model, focused on a variety of mathematical thinking, helps students learn mathematics with understanding and with the association of exploring entertainment.

• Journal for History of Mathematics
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• v.26 no.5_6
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• pp.329-343
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• 2013

Japanese mathematics, namely Wasan, was well-developed before the Meiji period. Takebe Katahiro (1664-1739) and Nakane Genkei (1662-1733), among a great number of mathematicians in Wasan, maybe the most famous ones. Taking Takebe and Nakane's indefinite problems as examples, the similarities and differences are made between Wasan and Chinese mathematics. According to investigating the sources and attitudes to these problems which both Japanese and Chinese mathematicians dealt with, the paper tries to show how and why Japanese mathematicians accepted Chinese tradition and beyond. As a typical sample of the succession of Chinese tradition, Wasan will help people to understand the real meaning of Chinese tradition deeper.

• Journal for History of Mathematics
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• v.27 no.6
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• pp.409-419
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• 2014

In school mathematics, the logarithmic function is defined as the inverse function of an exponential function. And the natural logarithm is defined by the integral of the fractional function 1/x. But historically, Napier had already used the concept of logarithm in 1614 before the use of exponential function or integral. The calculation of the logarithm was a hard work. So mathematicians with arithmetic ability made the tables of values of logarithms and people used the tables for the estimation of data. In this paper, we first take a look at the mathematicians and mathematical principles related to the appearance and the developments of the logarithmic tables. And then we deal with the confusions between mathematicians, raised by the estimation data which were known as proportional parts or mean differences in common logarithmic tables.

• Research in Mathematical Education
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• v.9 no.2 s.22
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• pp.175-182
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• 2005

This paper will present two activity cases for developing mathematical creativity at The Center for Science Gifted Education (CSGE) of Chongju National University of Education of Korea. One is 'the magic card mystery'; the other is 'mathematicians' efforts to solve equations'.

• Research in Mathematical Education
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• v.16 no.2
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• pp.125-135
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• 2012

Students not only learn mathematics knowledge, but also have the capability of mathematical creativity. The latter has been thought an important task in mathematics education by more and more mathematicians and mathematics educators. In this paper, mathematicians' methods of creating mathematics are presented. Then, the paper elaborates on how these methods can be utilized to enhance mathematical creativity in the schools.

• Journal for History of Mathematics
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• v.9 no.2
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• pp.1-9
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• 1996

This paper is a sequel to [26]. We investigate how the Axiom of Choice has been accepted after Zermelo introduced the Axiom in 1904. The response to the Axiom has divided into two groups of mathematicians, namely idealists and empiricists. We also investigate how the Zorn's lemma (1935) has been emerged. It was originally formulated by Hausdorff in 1909 and then by many other mathematicians independently.