A Review of the History of Japanese Mathematics
Revue d'histoire des mathématiques (2001)
- Volume: 7, Issue: 1, page 135-153
- ISSN: 1262-022X
Access Full Article
topAbstract
topHow to cite
topOgawa, Tsukane. "A Review of the History of Japanese Mathematics." Revue d'histoire des mathématiques 7.1 (2001): 135-153. <http://eudml.org/doc/252078>.
@article{Ogawa2001,
abstract = {This review aims to introduce Japanese mathematics to a non-expert and a non-Japanese readership. It briefly characterizes mathematics in Japan, surveys its history, as it developed over the last century, and provides a large (if not exhaustive) bibliography of works in the primary European languages.},
author = {Ogawa, Tsukane},
journal = {Revue d'histoire des mathématiques},
keywords = {Japan; Sangaku; Enri; computation of $\pi $; historiography of japanese mathematics; sangaku; enri; computation of pi; historiography of Japanese mathematics},
language = {eng},
number = {1},
pages = {135-153},
publisher = {Société mathématique de France},
title = {A Review of the History of Japanese Mathematics},
url = {http://eudml.org/doc/252078},
volume = {7},
year = {2001},
}
TY - JOUR
AU - Ogawa, Tsukane
TI - A Review of the History of Japanese Mathematics
JO - Revue d'histoire des mathématiques
PY - 2001
PB - Société mathématique de France
VL - 7
IS - 1
SP - 135
EP - 153
AB - This review aims to introduce Japanese mathematics to a non-expert and a non-Japanese readership. It briefly characterizes mathematics in Japan, surveys its history, as it developed over the last century, and provides a large (if not exhaustive) bibliography of works in the primary European languages.
LA - eng
KW - Japan; Sangaku; Enri; computation of $\pi $; historiography of japanese mathematics; sangaku; enri; computation of pi; historiography of Japanese mathematics
UR - http://eudml.org/doc/252078
ER -
References
top- [1] Cooke ( Roger) [1997] The History of Mathematics: A Brief Course, New York: Wiley-Interscience, 1997. Zbl1073.01005MR1471204
- [2] Fujisawa ( Rikitarou) [1900] Notes on the Mathematics of the Old Japanese School, Compte rendu du 2e Congrès international des mathématiciens, Paris, pp.379–393. JFM32.0002.05
- [3] Fukagawa ( Hidetoshi) & Pedoe ( Dan) [1989] Japanese Temple Geometry Problems, Winnipeg: The Charles Babbage Research Center, 1989. MR1044556
- [4] Harzer ( Paul) [1905] Die exakten Wissenschaften im alten Japan, Jahresbericht der Deutschen Mathematiker-Vereinigung, 14 (1905), pp.312–339. JFM36.0003.02
- [5] Hayashi ( Tsuruichi) [1903–1905]A Brief History of the Japanese Mathematics, Nieuw Archief voor Wiskunde, ser.2, 6 (1905), pp.296–361. JFM35.0004.02
- [6] Hayashi ( Tsuruichi) [1905–1907a] A List of Some Dutch Astronomical Works Imported into Japan from Holland, Nieuw Archief voor Wiskunde, ser.2, 7 (1905–1907), pp.42–44. JFM36.0076.04
- [7] Hayashi ( Tsuruichi) [1905–1907b] A Brief History of the Japanese mathematics, Nieuw Archief voor Wiskunde, ser.2, 7 (1907), pp.105–163. Continued from [Hayashi 1903–1905]. JFM36.0003.05
- [8] Hayashi ( Tsuruichi) [1905–1907c] A List of Dutch Books on Mathematical Sciences, Imported from Holland to Japan before the Restoration in 1868, Nieuw Archief voor Wiskunde, ser. 2, 7 (1905–1907), pp.232–236. JFM37.0038.04
- [9] Hayashi ( Tsuruichi) [1906a] On Mr. Mikami’s Essay and Prof. Harzer’s Remark, Jahresbericht der Deutschen Mathematiker-Vereinigung, 15 (1906), p.586. JFM37.0002.05
- [10] Hayashi ( Tsuruichi) [1906b] Seki’s Daijutsu-bengi and By|odai-meichi, Proceedings of the Tokyo Mathematico-Physical Society, ser.2, 3 (1906), p.127–141. JFM37.0005.02
- [11] Hayashi ( Tsuruichi) [1906c] Seki’s Kaih|o-Honpen, H|ojin-Ensan, and Sandatsu-Kempu, Proceedings of the Tokyo Mathematico-Physical Society, ser.2, 3 (1906), p.183–201. JFM38.0011.03
- [12] Hayashi ( Tsuruichi) [1909–1910]The ‘Fukudai’ and Determinants in Japanese Mathematics, Proceedings of the Tokyo Mathematico-Physical Society, ser.2, 5 (1909–1910), pp.254–271. JFM41.0058.03
- [13] Hayashi ( Tsuruichi) [1937] Collected Papers on the Old Japanese Mathematics, Fujiwara (M.), ed., 2 vols., Tokyo: Kaiseikan, 1937.
- [14] Hirayama ( Akira) [1936] Malfatti’s Problem and its Extension in the Old Japanese Mathematics, Tôhoku Mathematical Journal, 42 (1936), pp.67–74. Zbl0014.14708
- [15] Horiuchi ( Annick) [1994a] Les mathématiques japonaises à l’époque d’Edo, Paris: Vrin, 1994. MR1372262
- [16] Horiuchi ( Annick) [1994b] The Tetsujutsu Sankei (1722), an 18th Century Treatise on the Methods of Investigation in Mathematics, in Sasaki (Chi.) et al., eds., The Intersection of History and Mathematics, Science Networks-Historical Studies 15, pp.149–164, Basel: Birkhäuser, 1994. Zbl0840.01009MR1308085
- [17] Iyanaga ( Shôkichi) [1995] Évolution des études mathématiques au Japon depuis l’ère Meiji, Historia Scientiarum, ser.2, 4 (1995), pp.181–206. Zbl0829.01031MR1325112
- [18] Jochi ( Shigeru) [1993] The Influence of Chinese Mathematical Arts on Seki Kowa, Ph.D. Thesis of the University of London, http://www.nkfu.edu.tw/~jochi.
- [19] Kikuchi ( Dairoku) [1895a] Ajima’s Method of Finding the Length of an Arc of a Circle, Proceedings of the Physico-Mathematical Society of Japan, ser.1, 7 (1895), pp.114–117. JFM27.0035.06
- [20] Kikuchi ( Dairoku) [1895b] On the Method of the Old Japanese School for Finding the Area of a Circle, Proceedings of the Physico-Mathematical Society of Japan, ser.1, 7 (1895), pp.24–26. JFM26.0055.02
- [21] Kikuchi ( Dairoku) [1895c] A Series for Obtained by the Old Japanese Mathematicians, Proceedings of the Physico-Mathematical Society of Japan, ser.1, 7 (1895), pp.107–110.
- [22] Kikuchi ( Dairoku) [1895d] Various Series for Obtained by the Old Japanese Mathematicians, Proceedings of the Physico-Mathematical Society of Japan, ser.1, 7 (1895), pp.47–53. JFM26.0056.01
- [23] Kikuchi ( Dairoku) [1896] Seki’s Method of Finding the Length of an Arc of a Circle, Proceedings of the Physico-Mathematical Society of Japan, ser.1, 8 (1896), pp.179–198. JFM31.0046.05
- [24] Kobayashi ( Tatsuhiko) [1995] The Yuzhi Lixiang Kaocheng and Traditional Japanese Mathematicians (Wasanka): – Especially Concerning the Acceptance of its Particulars –, in Hashimoto et al., eds., East Asian Science: Tradition and Beyond: Papers from the Seventh International Conference on the History of Science in East Asia Held in Kyoto, 2–7 August 1993, Osaka: Kansai University, 1995, pp.513–519. MR1735595
- [25] Martzloff ( Jean-Claude) [1990] A Survey of Japanese Publications on the History of Japanese Traditional Mathematics (Wasan) from the Last 30 Years, Historia Mathematica, 17 (1990), pp.366–373. Zbl0732.01007MR1085598
- [26] Michiwaki ( Yoshimasa) [1980] Japanische Mathematik unter dem Gesichtspunkt der Berechnungstechnik: Henkei Jutsu, Sudhoffs Archiv, 64 (1980), pp.226–233. Zbl1170.01312MR592394
- [27] Michiwaki ( Yoshimasa) [1990] On the Resemblance of the Indian, Chinese and Japanese Mathematics, Arhat Vacana, 2-2 (1990), pp.11–15.
- [28] Michiwaki ( Yoshimasa) & Kobayashi ( Tatsuhiko) [1981] On the Resemblance of Problems of ‘L|ıl|avati’, ‘Chiu-Chang Suan-Shu’ and Wasan, Fuji Ronso, 32-1 (1987), pp.93–108.
- [29] Michiwaki ( Yoshimasa), Oyama ( Makoto) & Hamada ( Toshio) [1975] An Invariant Relation in Chains of Tangent Circles, Mathematics Magazine, 48-2 (1975), pp.80–87. Zbl0304.50007MR362011
- [30] Mikami ( Yoshio) [1905] A Chinese Theorem on Geometry, Archiv der Mathematik und Physik, 9 (1905), pp.308–310. JFM36.0542.02
- [31] Mikami ( Yoshio) [1906] On Reading P.Harzer’s Paper on the Mathematics in Japan, Jahresbericht der Deutschen Mathematiker-Vereinigung, 15 (1906), pp.253–262. Zbl37.0002.03JFM37.0002.03
- [32] Mikami ( Yoshio) [1907] Zur Frage abendländischer Einflüsse auf die japanische Mathematik am Ende des siebzehnten Jahrhunderts, Bibliotheca Mathematica, 3-7 (1907), pp.364–366. JFM37.0005.03
- [33] Mikami ( Yoshio) [1907–1908] A Question on Seki’s Invention of the Circle-Principle, Proceedings of the Tokyo Mathematico-Physical Society, ser.2, 4 (1907–1908), p.442–446. JFM39.0069.02
- [34] Mikami ( Yoshio) [1908] Seki and Shibukawa, Jahresbericht der Deutschen Mathematiker-Vereinigung, 17 (1908), pp.187–196.
- [35] Mikami ( Yoshio) [1909] A Remark on the Chinese Mathematics in Cantor’s Geschichte der Mathematik, Archiv der Mathematik und Physik, ser.3, 15 (1909), pp.68–70. JFM40.0002.01
- [36] Mikami ( Yoshio) [1909/1911a] On the Dutch Art of Surveying as Studied in Japan, Nieuw Archief voor Wiskunde, ser.2, 9 (1909/1911), pp.301–304. JFM41.0073.04
- [37] Mikami ( Yoshio) [1909/1911b] Hatono S|oha and the Mathematics of Seki, Nieuw Archief voor Wiskunde, ser.2, 9 (1909/1911), pp.158–171. JFM41.0008.02
- [38] Mikami ( Yoshio) [1909/1911c] On a Japanese Astronomical Treatise Based on Dutch Works, Nieuw Archief voor Wiskunde, ser.2, 9 (1909/1911), pp.231–234. JFM41.0076.01
- [39] Mikami ( Yoshio) [1909/1911d] Remarks on T.Hayashi’s ‘Brief History of Japanese Mathematics’, Nieuw Archief voor Wiskunde, ser.2, 9 (1909/1911), pp.373–386. JFM42.0003.03
- [40] Mikami ( Yoshio) [1909/1911e] Some Additions to my Paper ‘On the Dutch Art of Surveying as Studied in Japan’, Nieuw Archief voor Wiskunde, ser.2, 9 (1909/1911), pp.370–372. Zbl42.0069.03JFM42.0069.03
- [41] Mikami ( Yoshio) [1909–1910a] On the Discovery of the Circle-Principle, Proceedings of the Physico-Mathematical Society of Japan, ser.2, 5 (1909–1910), pp.372–392. JFM41.0065.03
- [42] Mikami ( Yoshio) [1909–1910b] A Remark on T. Hayashi’s Article on the Fukudai, Proceedings of the Physico-Mathematical Society of Japan, ser.2, 5 (1909–1910), pp.392–394. JFM41.0058.04
- [43] Mikami ( Yoshio) [1910a] The Circle-Squaring of the Chinese, Bibliotheca Mathematica, 3-10 (1910), pp.193–200. JFM40.0065.02
- [44] Mikami ( Yoshio) [1910b] Mathematical Papers from the Far East, Leipzig, Teubner 1910. JFM41.0039.01
- [45] Mikami ( Yoshio) [1911a] Arithmetic with Fractions in Old China, Archiv for Mathematik og Naturvidenskab, 32-3 (1911), pp.1–10.
- [46] Mikami ( Yoshio) [1911b] Further Remarks on the Chinese Mathematics in Cantor’s Geschichte der Mathematik, Archiv der Mathematik und Physik, ser.3, 18 (1911), pp.209–219. JFM42.0054.03
- [47] Mikami ( Yoshio) [1911c] The Influence of Abaci on the Chinese and Japanese Mathematics, Jahresbericht der Deutschen Mathematiker-Vereinigung, 20 (1911), pp.380–393. Zbl42.0054.02JFM42.0054.02
- [48] Mikami ( Yoshio) [1911d] Remarks on Dr. Caurs’s View Concerning Geometry. The Monist 21 (1911), pp.126–131. JFM42.0506.10
- [49] Mikami ( Yoshio) [1911e] The Teaching of Mathematics in Japan, The American Mathematical Monthly, 18 (1911), p.123–134. MR1517563
- [50] Mikami ( Yoshio) [1911–1912] On the Kwanrui-jutsu or Recurring Method as Given by Kemmochi Shôkô, Tôhoku Mathematical Journal, 1 (1911–1912), pp.98–105. Zbl43.0071.01JFM43.0071.01
- [51] Mikami ( Yoshio) [1912a] On Ajima Chokuyen’s Solution of the Indeterminate Equation , Archiv for Mathematik og Naturvindenskab, 33-2 (1912), pp.1–8.
- [52] Mikami ( Yoshio) [1912b] The Rectification of the Ellipse by Japanese Mathematicians. Bibliotheca Mathematica, 3-12 (1912), pp.225–237. JFM42.0063.03
- [53] Mikami ( Yoshio) [1912/1913a] On an Astronomical Treatise Composed by a Portuguese in Japan. Nieuw Archief voor Wiskunde, ser.2, 10 (1912/1913), pp.61–70. JFM43.0080.02
- [54] Mikami ( Yoshio) [1912/1913b] A Japanese Buddhist’s View of the European Astronomy. Nieuw Archief voor Wiskunde, ser.2, 10 (1912/1913), pp.233–243. JFM43.0080.01
- [55] Mikami ( Yoshio) [1912/1913c] On a Japanese Manuscript of the 17th Century Concerning the European Astronomy, Nieuw Archief voor Wiskunde, ser.2, 10 (1912/1913), pp.71–74. JFM43.0080.03
- [56] Mikami ( Yoshio) [1913a] The Circle-Measurement of the Takuma School, Proceedings of the Physico-Mathematical Society of Japan, ser.2, 7 (1913), pp.46–56. JFM44.0051.01
- [57] Mikami ( Yoshio) [1913b] On the Formula for an Area of a Circle in the ‘Kwatsuy|o-Samp|o’ and Allied Subjects, Proceedings of the Physico-Mathematical Society of Japan, ser.2, 7 (1913), pp.157–170. JFM44.0051.02
- [58] Mikami ( Yoshio) [1913c] Notes on the Native Japanese Mathematics, Archiv der Mathematik und Physik, ser.3, 20 (1913), pp.1–10. JFM43.0006.01
- [59] Mikami ( Yoshio) [1913d] The Parabola and Hyperbola in Japanese Mathematics, Tôhoku Mathematical Journal, 3 (1913), pp.29–37. JFM44.0052.01
- [60] Mikami ( Yoshio) [1914a] On Miyai Antai’s Solution of an Equation by Successive Approximations, Tôhoku Mathematical Journal, 5 (1914), pp.176–179. Zbl45.0173.05JFM45.0173.05
- [61] Mikami ( Yoshio) [1914b] Notes on the Native Japanese Mathematics, Archiv der Mathematik und Physik, ser.3, 22 (1914), pp.183–199. Continued from [1913 c]. JFM45.0003.03
- [62] Mikami ( Yoshio) [1914/1915a] On Mayeno’s Description of the Parallelogram of Forces, Nieuw Archief voor Wiskunde, ser.2, 11 (1914/1915), pp.76–78. JFM45.0084.04
- [63] Mikami ( Yoshio) [1914/1915b] On Shizuki’s Translation of Keill’s Astronomical Treatise, Nieuw Archief voor Wiskunde, ser.2, 11 (1914/1915), pp.1–19. JFM45.0090.02
- [64] Mikami ( Yoshio) [1914–1919] On the Japanese Theory of Determinants, Isis, 2 (1914–1919), pp.9–36.
- [65] Mikami ( Yoshio) [1915] On a Problem of Japanese Mathematics, Tôhoku Mathematical Journal, 7 (1915), pp.71–73.
- [66] Mikami ( Yoshio) [1928] The Ch’ou-Jen Chuan of Yüan Yüan, Isis, 11 (1928), pp.123–126.
- [67] Mikami ( Yoshio) [1930] On the Establishment of the Yenri Theory in the Old Japanese Mathematics, Proceedings of the Physico-Mathematical Society of Japan, ser.3, 12 (1930), pp.43–63. Zbl56.0809.02JFM56.0809.02
- [68] Mikami ( Yoshio) [1933] Mamoru Mimori – A Master Teacher of Mathematics in Japan, Scripta mathematica, 1 (1933), pp.254–255. JFM59.0036.02
- [69] Mikami ( Yoshio) [1949] Mamoru Mimori, A Japanese Master of Mathematics, Archives internationales d’histoire des sciences, Nouvelle série d’Archeion, 28 (1949), pp.1140–1143. Zbl0033.24204
- [70] Mikami ( Yoshio) [1974] The Development of Mathematics in China and Japan, 2nd ed., New York: Chelsea, 1974; 1st ed., Leipzig: Teubner, 1913. Zbl0114.24202
- [71] Nakamura ( Kunimitsu) [1994] On the Sprout and Setback of the Concept of Mathematical ‘Proof’ in the Edo Period in Japan: Regarding the Method of Calculating Number , Historia Scientiarum, ser.2, 3 (1994), pp.185–199. Zbl0799.01005MR1283686
- [72] Ogawa ( Tsukane) [1995] A Brief Note on the Book ‘Seki’s Hatsubi Sanpou—Translation and Annotation’ by Ogawa Tsukane (Ohzora-sha, 1994), The Journal of Yokkaichi University, 8-1 (1995), pp.153–166.
- [73] Ogawa ( Tsukane) [1996] A Process of Establishment of Pre-modern Japanese Mathematics, Historia Scientiarum, ser.2, 5 (1996), pp.255–262. Zbl0861.01005MR1393070
- [74] Ogura ( Kinnosuke) [1993] Wasan, Japanese Mathematics, translated by N.Ise. Tokyo: Kodansha, 1913; original Japanese edition, Tokyo: Iwanami, 1940.
- [75] Rothman ( Tony) [1998] Japanese Temple Geometry, Scientific American, may 1998, pp.85–91, http://www. sciam.com/1998/0598issue/0598rothman.html.
- [76] Sasaki ( Chikara) [1994] Asian Mathematics from Traditional to Modern, Historia Scientiarum, ser.2, 4 (1994), pp.69–77. Zbl0818.01001MR1325307
- [77] Sato ( Ken’ichi) [1995] Reevaluation of Tengenjutsu or Tianyuanshu: In the Context of Comparison between China and Japan, Historia Scientiarum, ser.2, 5 (1995), pp.57–67. Zbl0838.01006MR1349736
- [78] Sato ( Ken’ichi) [1998] On the Theory of Regular Polygons in Traditional Japanese Mathematics: Reconstruction of the Process for the Calculation of the Degree of Kaihoshiki Appearing in the Taisei Sankei by Seki and Takebe Brothers, Historia Scientiarum, ser.2, 8 (1998), pp.71–85. Zbl0972.01008MR1667210
- [79] Shimodaira ( Kazuo) [1966] Activities of Japanese Historians of Mathematics during the last Decade, Japanese Studies in the History of Science, 4 (1966), pp.20–27. Zbl0208.28702
- [80] Shimodaira ( Kazuo) [1977] Recreative Problems on ‘Jingoki’, Japanese Studies in the History of Science 16 (1977), pp.95–103.
- [81] Shimodaira ( Kazuo) [1981] On Idai of Jingoki, Historia Scientiarum, 21 (1981), pp.87–101. MR652166
- [82] Shinomiya ( Asaji) & Hayashi ( Tsuruichi) [1917] The Problems Dedicated by Gokai and his Disciples, to Seki on the Occasion of the One-hundred-fiftieth Anniversary of the Latter’s Death, The Tôhoku Mathematical Journal, 12 (1917), pp.1–12. Zbl46.0048.02JFM46.0048.02
- [83] Smith ( David E.) [1911–1912] How to Native Japanese Mathematics is Considered in the West, The Tôhoku Mathematical Journal, 1 (1911–1912), pp.1–7. Zbl42.0003.04JFM42.0003.04
- [84] Smith ( Davic E.) & Mikami ( Yoshio) [1914] A History of Japanese Mathematics, Chicago: Open Court, 1914. Zbl44.0038.04JFM44.0038.04
- [85] Sudo ( Toshiichi) [1954] A Study of the History of Mathematics in Ryu-Kyu (I), Scientific Papers of the College of General Education, University of Tokyo, 4 (1954), pp.165–177. Zbl0067.24504MR75855
- [86] Sudo ( Toshiichi) [1955] A Study of the History of Mathematics in Ryu-Kyu (II), Scientific Papers of the College of General Education, University of Tokyo, 5 (1955), pp.67–82. Zbl0067.24504MR75856
- [87] Sudo ( Toshiichi) [1955] A Study of the History of Mathematics in Ryu-Kyu (III), Scientific Papers of the College of General Education, University of Tokyo, 5 (1955), pp.179–189. Zbl0067.24504MR78272
- [88] Xu ( Zelin) [1999] Takebe Katahiro and Romberg Algorithm, Historia Scientiarum, 9-2 (1999), pp.155–164. Zbl1185.01017MR1762169
- [89] Yanagihara ( Kitizi) [1912] A Problem in Geometry of the Triangle, The Tôhoku Mathematical Journal, 2 (1912), pp.32–36. JFM43.0588.03
- [90] Yanagihara ( Kitizi) [1913] On some Geometrical Propositions in Wasan, the Japanese Native Mathematics, The Tôhoku Mathematical Journal, 3 (1913), pp.87–95. Zbl44.0052.02JFM44.0052.02
- [91] Yanagihara ( Kitizi) [1914–1915] On the Pythagorean Equation in Japanese Mathematics, The Tôhoku Mathematical Journal, 6 (1914–1915), pp.120–123. Zbl45.0097.05JFM45.1246.01
- [92] Yanagihara ( Kitizi) [1915] Mechanical Methods of Describing an Ellipse in Japanese Native Mathematics, The Tôhoku Mathematical Journal, 7 (1915), pp.74–77.
- [93] Yanagihara ( Kitizi) [1918] On the Dajutu or the Arithmetic Series of Higher Orders as Studied by Wasanists, The Tôhoku Mathematical Journal, 14 (1918), pp.305–324. Zbl46.0048.03JFM46.0048.03
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.