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{{Japanese name|Takebe}} |
{{Japanese name|Takebe}} |
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{{nihongo|'''Takebe Katahiro'''|建部 賢弘||1664 - August 24, 1739}}, also known as '''Takebe Kenkō''', was a [[Japan]]ese [[mathematician]] in the [[Edo period]].<ref name="smith146">Smith, David. (1914). {{Google books|J1YNAAAAYAAJ|''A History of Japanese Mathematics,'' p. 146. |page=146}}</ref> |
{{nihongo|'''Takebe Katahiro'''|建部 賢弘||1664 - August 24, 1739}}, also known as '''Takebe Kenkō''', was a [[Japan]]ese [[mathematician]] in the [[Edo period]].<ref name="smith146">Smith, David. (1914). {{Google books|J1YNAAAAYAAJ|''A History of Japanese Mathematics,'' p. 146. |page=146}}</ref> |
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==Biography== |
==Biography== |
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He used [[Richardson extrapolation]]. |
He used [[Richardson extrapolation]]. |
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He also computated 41 digits of <math>\pi </math>, based on polygon approximation and Richardson extrapolation. |
He also computated 41 digits of <math>\pi </math>, based on polygon approximation and Richardson extrapolation. |
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===Takebe Prizes=== |
===Takebe Prizes=== |
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* Endō Toshisada (1896). {{nihongo|''History of mathematics in Japan''|日本數學史史 |Dai Nihon sūgakush}}. Tōkyō: _____. [http://www.worldcat.org/title/dai-nihon-sugakushi-history-of-mathematics-in-japan-by-endo-toshisada/oclc/122770600&referer=brief_results OCLC 122770600] |
* Endō Toshisada (1896). {{nihongo|''History of mathematics in Japan''|日本數學史史 |Dai Nihon sūgakush}}. Tōkyō: _____. [http://www.worldcat.org/title/dai-nihon-sugakushi-history-of-mathematics-in-japan-by-endo-toshisada/oclc/122770600&referer=brief_results OCLC 122770600] |
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* Horiuchi, Annick. (1994). [http://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. 10-ISBN 2711612139/13-ISBN 9782711612130; [http://www.worldcat.org/title/mathematiques-japonaises-a-lepoque-dedo-1600-1868-une-etude-des-travaux-de-seki-takakazu-1708-et-de-takebe-katahiro-1664-1739/oclc/318334322 OCLC 318334322] |
* Horiuchi, Annick. (1994). [http://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. 10-ISBN 2711612139/13-ISBN 9782711612130; [http://www.worldcat.org/title/mathematiques-japonaises-a-lepoque-dedo-1600-1868-une-etude-des-travaux-de-seki-takakazu-1708-et-de-takebe-katahiro-1664-1739/oclc/318334322 OCLC 318334322] |
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* Selin, Helaine. (1997). [http://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 Science+Business Media|Springer]]. 10-ISBN 0792340663/13-ISBN 9780792340669; [http://www.worldcat.org/title/encyclopaedia-of-the-history-of-science-technology-and-medicine-in-non-western-cultures/oclc/186451909 OCLC 186451909] |
* Selin, Helaine. (1997). [http://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 Science+Business Media|Springer]]. 10-ISBN 0792340663/13-ISBN 9780792340669; [http://www.worldcat.org/title/encyclopaedia-of-the-history-of-science-technology-and-medicine-in-non-western-cultures/oclc/186451909 OCLC 186451909] |
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* [[David Eugene Smith]] and [[Yoshio Mikami]]. (1914). [http://books.google.com/books?id=J1YNAAAAYAAJ&dq=Shiraishi+Chochu&source=gbs_navlinks_s ''A History of Japanese Mathematics.''] Chicago: Open Court Publishing. [http://www.worldcat.org/title/history-of-japanese-mathematics/oclc/1515528 OCLC 1515528] [http://www.archive.org/details/historyofjapanes00smitiala -- note alternate online, full-text copy at archive.org] |
* [[David Eugene Smith]] and [[Yoshio Mikami]]. (1914). [http://books.google.com/books?id=J1YNAAAAYAAJ&dq=Shiraishi+Chochu&source=gbs_navlinks_s ''A History of Japanese Mathematics.''] Chicago: Open Court Publishing. [http://www.worldcat.org/title/history-of-japanese-mathematics/oclc/1515528 OCLC 1515528] [http://www.archive.org/details/historyofjapanes00smitiala -- note alternate online, full-text copy at archive.org] |
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{{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. --> |
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| NAME = Takebe, Kenko |
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| ALTERNATIVE NAMES = |
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| SHORT DESCRIPTION = Mathematician |
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| DATE OF BIRTH = 1664 |
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| PLACE OF BIRTH = |
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| DATE OF DEATH = August 24, 1739 |
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| PLACE OF DEATH = |
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}} |
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{{DEFAULTSORT:Takebe, Kenko}} |
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[[Category:Japanese mathematics]] |
[[Category:Japanese mathematics]] |
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[[Category:Japanese mathematicians]] |
[[Category:Japanese mathematicians]] |
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[[Category:17th-century mathematicians]] |
[[Category:17th-century mathematicians]] |
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[[Category:18th-century mathematicians]] |
[[Category:18th-century mathematicians]] |
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{{Japan-hist-stub}} |
{{Japan-hist-stub}} |
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Takebe Katahiro (建部 賢弘, 1664 - August 24, 1739), also known as Takebe Kenkō, was a Japanese mathematician in the Edo period.[1]
Takebe was the favorite student of 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]
Shogun Yoshimune honored Takebe with rank and successively better positions in the shogunate.[3]
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 (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.
He used Richardson extrapolation.
He also computated 41 digits of 
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]
In a statistical overview derived from writings by and about Takebe Kenko, OCLC/WorldCat encompasses roughly 10+ works in 1o+ publications in 3 languages and 10+ library holdings.[5]
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