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]
ShōgunYoshimune honored Takebe with rank and successively better positions in the shogunate.[3]
Legacyedit
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 also computated 41 digits of , based on polygon approximation and Richardson extrapolation.[6]
Takebe Prizesedit
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 worksedit
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]
^ abcdSmith, 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
^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.
Endō Toshisada (1896). History of mathematics in Japan (大日本數學史, Dai Nihon sūgakushi). 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. ISBN9782711612130; OCLC 318334322
Selin, Helaine, ed. (1997). Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures. Dordrecht: Kluwer/Springer. ISBN9780792340669; 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
takebe, kenkō, this, japanese, name, surname, takebe, takebe, katahiro, 建部, 賢弘, 1664, august, 1739, also, known, japanese, mathematician, cartographer, during, period, contents, biography, legacy, takebe, prizes, selected, works, also, notes, referencesbiograp. In this Japanese name the surname is Takebe 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 Contents 1 Biography 2 Legacy 2 1 Takebe Prizes 3 Selected works 4 See also 5 Notes 6 ReferencesBiography editTakebe 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 editTakebe 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 displaystyle arcsin x 2 nbsp 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 p displaystyle pi nbsp 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 editIn 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 This is a dynamic list and may never be able to satisfy particular standards for completeness You can help by adding missing items with reliable sources 1683 Kenki sanpō 研幾算法 OCLC 22056510086 1685 Hatsubi sanpō endan genkai 發微算法演段諺解 OCLC 22056085721See also editSangaku the custom of presenting mathematical problems carved in wood tablets to the public in shinto shrines Soroban a Japanese abacus Japanese mathematics Richardson extrapolationNotes edit a b c d Smith David 1914 A History of Japanese Mathematics p 146 p 146 at Google Books Takebe Katahiro Encyclopaedia 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 Kokyuroku 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 Kokyuroku in Japanese 1019 80 88 via Kyoto University WorldCat Identities 建部賢弘 1664 1739References editEndō Toshisada 1896 History of mathematics in Japan 大日本數學史 Dai Nihon sugakushi 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 ISBN 9782711612130 OCLC 318334322 Selin Helaine ed 1997 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 A History of Japanese Mathematics Chicago Open Court Publishing OCLC 1515528 note alternate online full text copy at archive org O Connor John J Robertson Edmund F Takebe Katahiro MacTutor History of Mathematics Archive University of St Andrews Retrieved from https en wikipedia org w index php title Takebe Kenkō amp oldid 1183923701, wikipedia, wiki, book, books, library,
