Horiuchi, Annick (Author)
Japanese mathematics, known also under the name of wasan, experienced a remarkable development between the seventeenth and nineteenth centuries. Wasan took its roots from the Chinese tradition of mathematics and shared its language and its categories of problems, but gave it a new impetus, transforming the Chinese algebraic method of the "heavenly element" into a powerful tool with a much wider scope. All domains of mathematical research were revisited in the light of this new algebra. This book focuses on the first period of the development of wasan. It offers a survey of the earliest manuals for learning the use of the abacus published in the seventeenth century, notably the famous Jinkoki, which counted among the bestsellers of the Tokugawa period. The works of the two greatest mathematicians of this period, Seki Takakazu and Takebe Katahiro, and the way they transformed the face of mathematics, are examined in detail, with particular emphasis on the historical context, the relations between these two mathematicians and the political leaders of the epoch, and the role that mathematics played in this rapidly rising society.
...MoreReview Hudeček, Jiří (2014) Review of "Japanese Mathematics in the Edo Period (1600--1868): A study of the works of Seki Takakazu (?--1708) and Takebe Katahiro (1664--1739)". East Asian Science, Technology, and Medicine (pp. 73-82).
Article
Zhang, Jian-wei;
(2006)
Seki Takakazu and the Japanese calculation tradition (wasan)
(/isis/citation/CBB000701111/)
Article
Mitsuo, Morimoto;
Tsukane, Ogawa;
(2012)
Mathematical Treatise on the Technique of Linkage: An Annotated English Translation of Takebe Katahiro's Tetsujutsu Sankei Preserved in the National Archives of Japan
(/isis/citation/CBB001252981/)
Article
Luo, Jianjin;
(2003)
On the Development of the Formulae for Sums of Integers
(/isis/citation/CBB000774899/)
Article
Nakamura, Kunimitsu;
Matsumoto, Tsutomu;
(2002)
Characteristics of Farmers in the Upland Farming Regions (Sericulture Regions) in Eastern Japan As Seen in the Regions Where Wasan Mathematicians Were Active in the Late Edo Period
(/isis/citation/CBB000330343/)
Book
Jakobina K. Arch;
Paul S. Sutter;
(2018)
Bringing Whales Ashore: Oceans and the Environment of Early Modern Japan
(/isis/citation/CBB119390015/)
Article
Zhou, Chang;
Zhang, Jianke;
(2008)
Takebe's Mathematical Thought and Methodology
(/isis/citation/CBB000933525/)
Article
Tan, Wei Yu Wayne;
(2014)
Science, Politics and Networks: Shibukawa Harumi and the Birth of the New Almanac in Seventeenth-century Japan
(/isis/citation/CBB001321006/)
Article
Zhou, Chang;
(2008)
The Trailblazer of Analysis in Wasan: Takebe Katahiro
(/isis/citation/CBB000760557/)
Article
Yokotsuka, Hiroyuki;
(2004)
The Enri Kohai-jutsu Preserved in the Natural History Museum and Institute, Chiba
(/isis/citation/CBB000600630/)
Article
Hirotada Kawamura;
(2017)
The National Map of Japan in the Tokugawa Shogunate (1633–1725): Misunderstandings Corrected
(/isis/citation/CBB073379960/)
Article
Makoto, Hayashi;
(2013)
The Development of Early Modern Onmōdō
(/isis/citation/CBB001320707/)
Chapter
Mathias Vigouroux;
(2013)
Commerce des livres et diplomatie : la transmission de Chine et de Corée vers le Japon des savoirs médicaux liés à la pratique de l’acuponcture et de la moxibustion (1603-1868)
(/isis/citation/CBB974717424/)
Thesis
Frumer, Yulia;
(2012)
Clocks and Time in Edo Japan
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Thesis
Marcon, Federico;
(2007)
The Names of Nature: The Development of Natural History in Japan, 1600--1900
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Article
Xu, Zelin;
(1999)
Takebe Katahiro and Romberg Algorithm
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Book
Jean-Noël Robert;
Pierre Marsone;
(2013)
Les astres et le destin. Astrologie et divination en Asie orientale
(/isis/citation/CBB366738714/)
Article
Yoshiyama, Seisho;
(2007)
Seki Takakazu, the Mathematician Who Went Beyond Counting Rods---The Origin of Another Modern Mathematics
(/isis/citation/CBB000720252/)
Book
Horiuchi, Annick;
(1994)
Les mathématiques japonaises à l'époque d'Edo (1600-1868): Une étude des travaux de Seki Takakazu (?-1708) et de Takebe Katahiro (1664-1739)
(/isis/citation/CBB000058426/)
Article
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 Kaihōshiki appearing in the Taisei Sankei by Seki and Takebe brothers
(/isis/citation/CBB000081527/)
Article
Xu, Zelin;
(2002)
Takebe Katahiro's Epistemology of Mathematics
(/isis/citation/CBB000340041/)
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