Ajima Naonobu
Ajima Naonobu | |
|---|---|
 | |
| Born | 1732 |
| Died | May 20, 1798 (aged 65–66) |
| Occupation | mathematician |
| Known for | Credited with introducing calculus into Japanese mathematics |
Ajima Naonobu (安島 直円; 1732 – May 20, 1798), also known as Ajima Manzō Chokuyen, was a Japanese mathematician of the Edo period.[1]
His Dharma name was (祖眞院智算量空居士).[2]
Work
[edit | edit source]Ajima is credited with introducing calculus into Japanese mathematics. The significance of this innovation is diminished by a likelihood that he had access to European writings on the subject.[3] Ajima also posed the question of inscribing three mutually tangent circles in a triangle;[4] these circles are now known as Malfatti circles after the later work of Gian Francesco Malfatti, but two triangle centers derived from them, the Ajima–Malfatti points, are named after Ajima.[5][6]
Ajima was an astronomer at the Shogun's Observatory (Bakufu Temmongaki).[7]
Legacy
[edit | edit source]In 1976, the International Astronomical Union (IAU) honored Ajima by identifying a crater on the Moon with his name. Naonobu is a small lunar impact crater located on the eastern Mare Fecunditatis, to the northwest of the prominent crater Langrenus.[8][9]
Selected works
[edit | edit source]In a statistical overview derived from writings by and about Ajima Naonobu, OCLC/WorldCat encompasses roughly 20+ works in 30+ publications in two languages and 40+ library holdings.[10]
- Ajima Naonobu zenshū (安島直円全集) OCLC 017232052, collected works
- Sanpō kosō (算法考艸) OCLC 057185881, algorithms considered
- Jujireki bimmo (Introduction of the 'Works and Days Calendar')[7]
- Anshi seiyo-reki koso (Ajima's Studies for Western Calendars)[7]
- Ajima sensei bimmo do jutsu (Methods of Professor Ajima's 'bimmo')[7]
- Koshoku mokyu zokkai (Introduction of Eclipses of the Sun and the Moon)[11]
- Sansha San'en Jutsu (Methods of Three Diagonals and Three Circles)[12]
- Fujin Isshũ (Periods of Decimal Fractions)[1]
See also
[edit | edit source]- Sangaku, the custom of presenting mathematical problems, carved in wood tablets, to the public in shinto shrines
- Soroban, a Japanese abacus
- Japanese mathematics
Notes
[edit | edit source]- ^ a b Smith, David. (1914). A History of Japanese Mathematics, pp. 195-205., p. 195, at Google Books
- ^ Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
- ^ Restivo, Sal P. (1992). Mathematics in Society and History: Sociological Inquiries, p. 58. , p. 58, at Google Books
- ^ Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value)..
- ^ Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value)..
- ^ C. Kimberling, Encyclopedia of Triangle Centers Archived 2012-04-19 at the Wayback Machine, X(179) and X(180).
- ^ a b c d Jochi, Shigeru. (1997). "Ajima Naonobu," Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures, p. 38., p. 38, at Google Books
- ^ United States Geological Survey: Naonobu Gazetteer of Planetary Nomenclature, International Astronomical Union (IAU) Working Group for Planetary System Nomenclature (WGPSN)
- ^ Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
- ^ WorldCat Identities Archived 2010-12-30 at the Wayback Machine: 安島直円 1739-1798
- ^ Jochi, pp. 38-39., p. 38, at Google Books
- ^ Jochi, p. 39., p. 39, at Google Books
References
[edit | edit source]- Endō Toshisada (1896). History of mathematics in Japan (日本數學史史, Dai Nihon sūgakush). Tōkyō: _____. OCLC 122770600
- Oya, Shin'ichi. (1970). "Ajima Naonobu" in Dictionary of Scientific Biography, Vol. 1. New York: Charles Scribner's Sons. Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
- Restivo, Sal P. (1992). Mathematics in Society and History: Sociological Inquiries. Dordrecht: Kluwer Academic Publishers. Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).; OCLC 25709270
- Selin, Helaine. (1997). Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures. Dordrecht: Kluwer/Springer. Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).; 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
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