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Japanese Mathematics in the Edo Period (1600-1868)

A study of the works of Seki Takakazu (?-1708) and Takebe Katahiro (1664-1739)

Annick Horiuchi (Autor)

Buch | Hardcover

XXVII, 350 Seiten

2010 | 2010
Springer Basel (Verlag)
978-3-7643-8744-0 (ISBN)

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More than ?fteen years have passed since this book was published in French. Ideally this work, which originated from a doctoral thesis defended in 1990 at the University of Paris Diderot, should have been partially rewritten for the English edition, thereby incorporating the latest research results in its argumentation. But this was not the choice taken, since it would have delayed making this work, which brings together useful information for all those who are interested in wasan and eager to delve more deeply into its tradition, available to the English reader. Indeed, the special feature of this study is to present a high-level mathematical production while at the same time placing it in its historical context. This context here is Tokugawa Japan and, more speci?cally, the milieu of the scholars of samurai (warrior) origin. While explaining the indispensable social, economical and poli- cal background, we have not neglected mathematical analysis, since wasan reached its most beautiful results with the two mathematicians Seki Takakazu and Takebe Katahiro. Their works abound in lessons, not only for all those who are interested in the history of algebra and of analysis, but also in epistemological questions.

The Beginnings of Wasan.- The Jink?ki (1627) by Yoshida Mitsuyoshi.- The Jugairoku (1639) by Imamura Tomoaki.- The Sanso (1663) by Muramatsu Shigekiyo.- The Treatise of Ancient and Modern Mathematics (1671) by Sawaguchi Kazuyuki.- Seki Takakazu, His Time and His Mathematical Works.- Seki Takakazu (?-1708) and His Time.- The Works of Seki Takakazu on Techniques for Solving Problems.- Takebe Katahiro, Mathematician and Advisor of the Shogun.- The Career of Takebe Katahiro as Advisor of the Sh?gun.- Takebe's Works on Trigonometry.- Conclusion.

"The book is an extremely attractive gateway into the historical questions surrounding the best-known period of wasan, one written from a modern methodological perspective. ... I was delighted and impressed by this book and its contents, with so many points of contact with and development of traditional Chinese mathematical knowledge." (Jirí Hudecek, East Asian, Science, Technology, and Medicine, Issue 37, 2014)

"The present volume is a very careful English translation of a book which has been first published in French in 1994. ... readers will also get from these a visual apprehension of what Japanese mathematical texts physically looked like during the Edo period. Anyone interested in Japanese mathematics and its multifarious aspects ... should first have recourse to this outstanding book in as much as his excellent critical apparatus open wide perspectives for future researches in such a domain." (Jean-Claude Martzloff, Zentralblatt MATH, Vol. 1206, 2011)

Erscheint lt. Verlag	6.9.2010
Reihe/Serie	Science Networks. Historical Studies
Übersetzer	Silke Wimmer-Zagier
Zusatzinfo	XXVII, 350 p.
Verlagsort	Basel
Sprache	englisch
Original-Titel	Les mathématiques japonaises à l'époque d'Edo (1600-1868). Une étude des travaux de Seki Takakazu (?-1708) et Takebe Katahiro (1664-1739)
Maße	155 x 235 mm
Gewicht	692 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
Themenwelt	Mathematik / Informatik ► Mathematik ► Geschichte der Mathematik
Schlagworte	Algebra • Calc • Calculus • Development • DEX • Edo Period • Form • Information • Japanese Mathematics • Japan, Geschichte; Geistes-/Kultur-G. • Japan, Geschichte; Geistes-/Kultur-Geschichte • Mathematica • Mathematics • Mathematiker • Mathematiker (Einz.) • Problem Solving • Shogun • techniques
ISBN-10	3-7643-8744-0 / 3764387440
ISBN-13	978-3-7643-8744-0 / 9783764387440
Zustand	Neuware