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Japanese Mathematics
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Japanese Mathematics

Japanese mathematics (, wasan) denotes a distinct kind of mathematics which was developed in Japan during the Edo period (1603-1867). The term wasan, from wa ("Japanese") and san ("calculation"), was coined in the 1870s[1] and employed to distinguish native Japanese mathematical theory from Western mathematics ( y?san).[2]

In the history of mathematics, the development of wasan falls outside the Western realms of people, propositions and alternate solutions.[clarification needed] At the beginning of the Meiji period (1868-1912), Japan and its people opened themselves to the West. Japanese scholars adopted Western mathematical technique, and this led to a decline of interest in the ideas used in wasan.

History

The soroban in Yoshida Koyu's Jink?ki (1641 edition)

This mathematical schema evolved during a period when Japan's people were isolated from European influences. Kambei Mori is the first Japanese mathematician noted in history.[3] Kambei is known as a teacher of Japanese mathematics; and among his most prominent students were Yoshida Shichibei K?y?, Imamura Chish?, and Takahara Kisshu. These students came to be known to their contemporaries as "the Three Arithmeticians".[4]

Yoshida was the author of the oldest extant Japanese mathematical text. The 1627 work was named Jink?ki. The work dealt with the subject of soroban arithmetic, including square and cube root operations.[5] Yoshida's book significantly inspired a new generation of mathematicians, and redefined the Japanese perception of educational enlightenment, which was defined in the Seventeen Article Constitution as "the product of earnest meditation".[6]

Seki Takakazu founded enri(:circle principles), a mathematical system with the same purpose as calculus at a similar time to calculus's development in Europe; but Seki's investigations did not proceed from conventionally shared foundations.[7]

Select mathematicians

Replica of Katsuyo Sampo by Seki Takakazu. Page written about Bernoulli number and Binomial coefficient.

The following list encompasses mathematicians whose work was derived from wasan.

See also

Notes

  1. ^ Selin, Helaine. (1997). Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures, p. 641. , p. 641, at Google Books
  2. ^ Smith, David et al. (1914). A History of Japanese Mathematics, p. 1 n2., p. 1, at Google Books
  3. ^ Campbell, Douglas et al. (1984). Mathematics: People, Problems, Results, p. 48.
  4. ^ Smith, p. 35. , p. 35, at Google Books
  5. ^ Restivo, Sal P. (1984). Mathematics in Society and History, p. 56., p. 56, at Google Books
  6. ^ Strayer, Robert (2000). Bedford/st.Martins. p. 7.  Missing or empty |title= (help)
  7. ^ Smith, pp. 91-127., p. 91, at Google Books
  8. ^ Smith, pp. 104, 158, 180., p. 104, at Google Books
  9. ^ a b c d List of Japanese mathematicians -- Clark University, Dept. of Mathematics and Computer Science
  10. ^ a b Fukagawa, Hidetoshi et al. (2008). Sacred Mathematics: Japanese Temple Geometry, p. 24., p. 24, at Google Books
  11. ^ Smith, p. 233., p. 233, at Google Books

References

External links


  This article uses material from the Wikipedia page available here. It is released under the Creative Commons Attribution-Share-Alike License 3.0.

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