1690 Japanese Woodblock Takebe Katahiro Mathematics Edo Tokugawa Wasan Enri Pi

TAKEBE, Katahiro

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Takebe Katahiro, (1664-1739), Japanese mathematician of the wasan (“Japanese calculation”) tradition who extended and disseminated the mathematical research of his teacher Seki Takakazu. Takebe Katahiro’s name is given in several different forms including Takebe Kenko and Tatebe Kenko. He served successively two shoguns, Tokugawa Ienobu, initially lord of Kōfu, whom he escorted all along his rise to the supreme position, and Tokugawa Yoshimune.

 

Takebe played a vital role in the development of the Enri (円理, “circle principle”) – a crude analogion to the western calculus, obtained power series expansion of (arcsin(x))^{2} in 1722, 15 years earlier than Euler, as the first power series expansion obtained in Wasan, and based on polygon approximation and Richardson extrapolation, about 200 years earlier than Richardson, he computed 41 digits of pi.

 

This 17th century edition contains numerous of illustrations of different mathematical formulae and problems which he intended as a text for students of mathematics particularly to handle polynomials with variable coefficients.

$950.00

In stock

Free shipping wordwide!


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1690 Japanese Woodblock Takebe Katahiro Mathematics Edo Tokugawa Wasan Enri Pi

 

Takebe Katahiro, (1664-1739), Japanese mathematician of the wasan (“Japanese calculation”) tradition who extended and disseminated the mathematical research of his teacher Seki Takakazu. Takebe Katahiro’s name is given in several different forms including Takebe Kenko and Tatebe Kenko. He served successively two shoguns, Tokugawa Ienobu, initially lord of Kōfu, whom he escorted all along his rise to the supreme position, and Tokugawa Yoshimune.

 

Takebe played a vital role in the development of the Enri (円理, “circle principle”) – a crude analogion to the western calculus, obtained power series expansion of (arcsin(x))^{2} in 1722, 15 years earlier than Euler, as the first power series expansion obtained in Wasan, and based on polygon approximation and Richardson extrapolation, about 200 years earlier than Richardson, he computed 41 digits of pi.

 

This 17th century edition contains numerous of illustrations of different mathematical formulae and problems which he intended as a text for students of mathematics particularly to handle polynomials with variable coefficients.

 

Item number: #8189

Price: $950

 

TAKEBE, Katahiro

 

算學啓蒙諺解大成. / Sangaku keimō genkai taisei (Computational enlightenment to solve Dacheng)

 

Edo period (1690)

Details:

  • Collation: Complete with all pages; 5 volumes
  • Language: Japanese
  • Binding: Softcover; tight & secure
  • Size: ~10.5in X 7in (26cm x 18cm)
  • Extremely rare and desirable

 

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8189

Categories

Asia, Africa, & Middle Eastern

Mathematics & Physics

Authors

TAKEBE, Katahiro

Printing Date

17th Century

Language

Other

Binding

Softcover

Book Condition

Excellent

Collation

Complete