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.