Jump to content
 







Main menu
   


Navigation  



Main page
Contents
Current events
Random article
About Wikipedia
Contact us
Donate
 




Contribute  



Help
Learn to edit
Community portal
Recent changes
Upload file
 








Search  

































Create account

Log in
 









Create account
 Log in
 




Pages for logged out editors learn more  



Contributions
Talk
 



















Contents

   



(Top)
 


1 Biography  





2 Legacy  



2.1  Takebe Prizes  







3 Selected works  





4 See also  





5 Notes  





6 References  














Takebe Kenkō






العربية
Català
Deutsch
Español
Français

Piemontèis
Русский

 

Edit links
 









Article
Talk
 

















Read
Edit
View history
 








Tools
   


Actions  



Read
Edit
View history
 




General  



What links here
Related changes
Upload file
Special pages
Permanent link
Page information
Cite this page
Get shortened URL
Download QR code
Wikidata item
 




Print/export  



Download as PDF
Printable version
 
















Appearance
   

 






From Wikipedia, the free encyclopedia
 

(Redirected from Takebe Kenko)

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[edit]

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[edit]

Takebe played critical role in the development of the Enri (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 in 1695, about 200 years earlier than Richardson.[5]

He also computated 41 digits of , based on polygon approximation and Richardson extrapolation.[6]

Takebe Prizes[edit]

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[edit]

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]

See also[edit]

Notes[edit]

  1. ^ a b c d Smith, David. (1914). A History of Japanese Mathematics, p. 146. , p. 146, at Google Books
  • ^ "Takebe Katahiro", Encyclopædia Britannica online.
  • ^ Jochi, Shigeru. (1997). "Takebe Katahiro," 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
  • ^ Osada, Naoki (Aug 26, 2011). "収束の加速法の歴史 : 17世紀ヨーロッパと日本の加速法 (数学史の研究)" (PDF). Study of the History of Mathematics RIMS Kôkyûroku (in Japanese). 1787: 100–102 – via Kyoto University.
  • ^ Ogawa, Tsugane (May 13, 1997). "円理の萌芽 : 建部賢弘の円周率計算 : (数学史の研究)" (PDF). Study of the History of Mathematics RIMS Kôkyûroku (in Japanese). 1019: 80–88 – via Kyoto University.
  • ^ WorldCat Identities: 建部賢弘 1664-1739
  • References[edit]


    Retrieved from "https://en.wikipedia.org/w/index.php?title=Takebe_Kenkō&oldid=1183923701"

    Categories: 
    1664 births
    1739 deaths
    17th-century Japanese mathematicians
    18th-century cartographers
    18th-century Japanese mathematicians
    Japanese writers of the Edo period
    Hidden categories: 
    CS1 Japanese-language sources (ja)
    Articles with short description
    Short description is different from Wikidata
    Articles containing Japanese-language text
    Dynamic lists
    Articles with FAST identifiers
    Articles with ISNI identifiers
    Articles with VIAF identifiers
    Articles with WorldCat Entities identifiers
    Articles with BNF identifiers
    Articles with BNFdata identifiers
    Articles with GND identifiers
    Articles with J9U identifiers
    Articles with LCCN identifiers
    Articles with NDL identifiers
    Articles with NTA identifiers
    Articles with CINII identifiers
    Articles with MATHSN identifiers
    Articles with ZBMATH identifiers
    Articles with SUDOC identifiers
     



    This page was last edited on 7 November 2023, at 08:58 (UTC).

    Text is available under the Creative Commons Attribution-ShareAlike License 4.0; additional terms may apply. By using this site, you agree to the Terms of Use and Privacy Policy. Wikipedia® is a registered trademark of the Wikimedia Foundation, Inc., a non-profit organization.



    Privacy policy

    About Wikipedia

    Disclaimers

    Contact Wikipedia

    Code of Conduct

    Developers

    Statistics

    Cookie statement

    Mobile view



    Wikimedia Foundation
    Powered by MediaWiki