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Aida Yasuaki studied under the mathematician
Yasuyuki Okazaki in Yamagata from the age of 15
years. The city of Yamagata in which Aida was born
and brought up was (and still is) situated in
northern Honshu, Japan nearly 300 km north of
present day Tokyo. In 1769, Aida went to Edo,
which has been renamed Tokyo. There Aida worked
for the shogunate of Tokugawa Ieharu. The
shogunate was the government of the shogun, or
hereditary military dictator, of Japan and this
type of rule lasted from 1192 to 1867. The third
shogunate in Japan was established in 1603 ruling
from Edo. The shogunate was extremely powerful,
controlling the emperor, controlling the religious
establishments, administering the lands and
forming foreign policy. Aida was employed by the
shogunate as a civil engineer working on river
control and irrigation systems around Edo. However,
this was not the job that Aida aimed for since
ever since he was young his aim had been to become
the best mathematician in Japan. Also working for
the same shogunate at this time was Teirei Kamiya,
a mathematician who had been a pupil of Sadasuke
Fujita. Aida would have liked to become a pupil of
Fujita, for he was one of the leading
mathematicians in Japan. Aida saw his friendship
with Kamiya as means to be accepted by Fujita and
asked Kamiya to arrange for him to be introduced
to Fujita. Indeed Kamiya organised the necessary
introductions but Aida was not accepted by Fujita.
It appears that relations between Fujita and Aida
may have been poor even before Kamiya arranged the
introduction, although if that were the case it is
unclear quite why Aida worked so hard to obtain
the introduction. It was the custom of the time
for mathematicians to donate tablets inscribed
with mathematical problems to religious temples.
These tablets represented offerings of scholarship
to the gods. Aida had donated some tablets which
contained errors and these had been spotted by
Fujita. Perhaps Aida was unaware of these errors
at the time he sought to become Fujita's pupil.
Fujita had published a mathematical work Seiyo
sampo in 1781 and in part his high reputation
rested on this highly regarded text. Aida now
decided to write a work based on the Seiyo sampo
yet one which would criticise this work. It is not
surprising that relations between Aida and Fujita
would deteriorate further when Aida published
Kaisei sampo, his critical revision of the Seiyo
sampo. The private feud extended to include other
mathematicians when Kamiya, who had lost face by
arranging the failed introductions, attacked
Aida's Kaisei sampo.
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