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# 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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• Takebe Kenko — Takebe Katahiro (jap. 建部 賢弘; * 1664; † 1739), auch Takebe Kenkō (die sino japanische Lesung seines Namens), war ein japanischer Mathematiker des Wasan und Schüler von Seki Takakazu. Er entwickelte das Enri (円理, dt. „Kreisprinzip“) weiter und… …   Deutsch Wikipedia

• Takebe Kenkō — Takebe Katahiro (Japonés:建部 賢弘); * 1664; † 1739) o Takebe Kenkō fue un matemático japonés de la corriente del wasan. Fue estudiante de Seki Takakazu y jugó un rol crítico en el desarrollo del Enri (Japonés: 円理, principio del círculo ) – un… …   Wikipedia Español

• Takebe — Katahiro (jap. 建部 賢弘; * 1664; † 1739), auch Takebe Kenkō (die sino japanische Lesung seines Namens), war ein japanischer Mathematiker des Wasan und Schüler von Seki Takakazu. Er entwickelte das Enri (円理, dt. „Kreisprinzip“) weiter und berechnete… …   Deutsch Wikipedia

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