Japanese mathematics (和算 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 and employed to distinguish native Japanese mathematical theory from Western mathematics (洋算 yōsan).
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.
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. Kambei is known as a teacher of Japanese mathematics; and among his most prominent students were Yoshida Shichibei Kōyū, Imamura Chishō, and Takahara Kisshu. These students came to be known to their contemporaries as "the Three Arithmeticians".
Yoshida was the author of the oldest extant Japanese mathematical text. The 1627 work was named Jinkōki. The work dealt with the subject of soroban arithmetic, including square and cube root operations. 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".
Seki Takakazu founded enri（円理: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.
The following list encompasses mathematicians whose work was derived from wasan.
- Kambei Mori (early 17th century)
- Yoshida Mitsuyoshi (1598–1672)
- Seki Takakazu (1642–1708)
- Takebe Kenkō (1664–1739)
- Matsunaga Ryohitsu (fl. 1718-1749)
- Kurushima Kinai (d. 1757)
- Arima Raido (1714–1783)
- Fujita Sadasuke (1734-1807)
- Ajima Naonobu (1739–1783)
- Aida Yasuaki (1747–1817)
- Sakabe Kōhan (1759–1824)
- Fujita Kagen (1765–1821)
- Hasegawa Ken (c. 1783-1838)
- Wada Nei (1787–1840)
- Shiraishi Chochu (1796–1862)
- Koide Shuke (1797–1865)
- Omura Isshu (1824–1871)
- Japanese theorem for cyclic polygons
- Japanese theorem for cyclic quadrilaterals
- Sangaku, the custom of presenting mathematical problems, carved in wood tablets, to the public in Shinto shrines
- Soroban, a Japanese abacus
- Category:Japanese mathematicians
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