“Takebe Kenkō”的意思、由来-开放百科全书

词条

Takebe Kenkō

释义

Biography
Legacy
Takebe Prizes
Selected works
See also
Notes
References

{{Japanese name|Takebe}}{{nihongo|Takebe Katahiro|建部賢弘||1664 – August 24, 1739}}, 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]{{Pi box}}

Legacy

Takebe played critical role in the development of the Enri ({{lang|ja-Hani|円理}}, "circle principle") - a crude analogon to the western calculus. He also created charts for trigonometric functions.^[4]

He obtained 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 Richardson extrapolation, about 200 years earlier than Richardson.

He also computated 41 digits of , based on polygon approximation and Richardson extrapolation.

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.^[5]

1683 – {{nihongo|Kenki sanpō|研幾算法}} OCLC 22056510086
1685 – {{nihongo|Hatsubi sanpō endan genkai|發微算法演段諺解}} OCLC 22056085721

Notes

1. ^¹²³Smith, David. (1914). {{Google books|J1YNAAAAYAAJ|A History of Japanese Mathematics, p. 146. |page=146}}
2. ^"Takebe Katahiro", Encyclopædia Britannica online.
3. ^Jochi, Shigeru. (1997). "Takebe Katahiro," {{Google books|raKRY3KQspsC&dq|Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures, p. 932. |page=932}}
4. ^¹Mathematical Society of Japan, Takebe Prize
5. ^WorldCat Identities: 建部賢弘 1664-1739

References

Endō Toshisada (1896). {{nihongo|History of mathematics in Japan|大日本數學史|Dai Nihon sūgakushi}}. Tōkyō: _____. OCLC 122770600
Horiuchi, Annick. (1994). [https://books.google.com/books?id=qMnZHUSAYzMC&dq=History+of+Mathematics+in+Japan+1896&lr=lang_ja&as_brr=0&source=gbs_navlinks_s 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. {{ISBN|9782711612130}}; OCLC 318334322
Selin, Helaine, ed. (1997). [https://books.google.com/books?id=raKRY3KQspsC&dq=Aida+Yasuaki&source=gbs_navlinks_s Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures.] Dordrecht: Kluwer/Springer. {{ISBN|9780792340669}}; OCLC 186451909
David Eugene Smith and Yoshio Mikami. (1914). [https://books.google.com/books?id=J1YNAAAAYAAJ&dq=Shiraishi+Chochu&source=gbs_navlinks_s A History of Japanese Mathematics.] Chicago: Open Court Publishing. OCLC 1515528 [https://archive.org/details/historyofjapanes00smitiala -- note alternate online, full-text copy at archive.org]
{{MacTutor Biography|id=Takebe|title=Takebe Katahiro}}

随便看