Takebe Kenkō
Template:Short description Template:Family name hatnote
Script error: No such module "Nihongo"., also known as Takebe Kenkō, was a Japanese mathematician and cartographer during the Edo period.[1]
Biography
Takebe was the favorite student of the Japanese mathematician Seki Takakazu[1] Takebe is considered to have extended and disseminated Seki's work.[2]
In 1706, Takebe was offered a position in the Tokugawa shogunate's department of ceremonies.[1]
In 1719, Takebe's new map of Japan was completed; and the work was highly valued for its quality and detail.[1]
Shōgun Yoshimune honored Takebe with rank and successively better positions in the shogunate.[3]
Legacy
Takebe played a critical role in the development of the Enri (Script error: No such module "Lang"., "circle principle") - a crude analogon to the western calculus. He also created charts for trigonometric functions.[4]
He achieved a power series expansion of 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.
He used the Richardson extrapolation in 1695, about 200 years earlier than Richardson.[5]
He also computed 41 digits of , based on polygon approximation and the Richardson extrapolation.[6]
Takebe Prizes
In the context of its 50th anniversary celebrations, the Mathematical Society of Japan established the Takebe Prize and the Takebe Prizes for the encouragement of young people who show promise as mathematicians.[4]
Selected works
In a statistical overview derived from writings by and about Takebe Kenko, OCLC/WorldCat encompasses roughly 10+ works in 10+ publications in 3 languages and 10+ library holdings.[7] Script error: No such module "Hatnote".
- 1683 – Script error: No such module "Nihongo". OCLC 22056510086
- 1685 – Script error: No such module "Nihongo". OCLC 22056085721
See also
- Sangaku, the custom of presenting mathematical problems, carved in wood tablets, to the public in shinto shrines
- Soroban, a Japanese abacus
- Japanese mathematics
- Richardson extrapolation
Notes
<templatestyles src="Reflist/styles.css" />
- ↑ a b c d Smith, David. (1914). Template:Trim&pg=PA146 A History of Japanese Mathematics, p. 146. , p. 146, at Google Books
- ↑ "Takebe Katahiro", Encyclopædia Britannica online.
- ↑ Jochi, Shigeru. (1997). "Takebe Katahiro," Template:Trim&pg=PA932 Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures, p. 932. , p. 932, at Google Books
- ↑ a b Mathematical Society of Japan, Takebe Prize
- ↑ Script error: No such module "Citation/CS1".
- ↑ Script error: No such module "Citation/CS1".
- ↑ WorldCat Identities: 建部賢弘 1664-1739
Script error: No such module "Check for unknown parameters".
References
- Endō Toshisada (1896). Script error: No such module "Nihongo".. Tōkyō: _____. OCLC 122770600
- Horiuchi, Annick. (1994). Les Mathematiques Japonaises a L'Epoque d'Edo (1600–1868): Une Etude des Travaux de Seki Takakazu (?-1708) et de Takebe Katahiro (1664–1739). Paris: Librairie Philosophique J. Vrin. Template:ISBN; OCLC 318334322
- Selin, Helaine, ed. (1997). Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures. Dordrecht: Kluwer/Springer. Template:ISBN; OCLC 186451909
- David Eugene Smith and Yoshio Mikami. (1914). A History of Japanese Mathematics. Chicago: Open Court Publishing. OCLC 1515528 -- note alternate online, full-text copy at archive.org
- Script error: No such module "Template wrapper".