Takebe Kenko

Takebe Katahiro (Japan _ja. 建部 賢弘; * 1664; † 1739) or Takebe Kenkō was a Japanese mathematician. He was student of Seki Takakazu and played critical role in the development of the
Enri ( _ja. 円理, "circle principle") - a crude analogon to the western calculus. He obtained power series expansion of (arcsin(x))^2 in 1722, 15 years earlier than Euler. This was the first power series expansion obtained in Wasan.

This result was first conjectured by heavy numeric computation.in which he invented and used Richardson extrapolation. He also computated 41 digits of pi , based on polygon approximation and Richardson extrapolation.

ee also

*Wasan

External links

* [http://www.britannica.com/eb/article-9384143/Takebe-Katahiro Takebe Katahiro Entry of the Encyclopedia Britannica]


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