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Tumugu Sakuma’s problem

Published online by Cambridge University Press:  01 August 2016

Fukuzo Suzuki*
Affiliation:
Gunma College of Technology, 580 Toribamachi, Maebashi, Gunma 371-8530, Japan

Extract

In the years 1603–1867, known as the Edo period, when Japan isolated itself from the western world, the country developed its own style of mathematics, especially geometry. Results and theorems of traditional Japanese mathematics, known as ‘Wasan’, were usually stated in the form of problems; these were originally displayed on wooden boards (‘sangaku’) hung in shrines and temples, but many later appeared in books, either handwritten with a brush or printed from wood blocks. (See [1, 2, 3] for more details.) Solutions to the problems were not given, but numerical answers were sometimes provided. The problems were written in a form of language called ‘Kanbun’, based on Chinese, which cannot be readily understood by modern Japanese readers even though written Japanese makes extensive use of Chinese characters.

Type
Articles
Copyright
Copyright © The Mathematical Association 2001

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References

1. Hidetoshi Fukagawa and Dan Pedoe, Japanese temple geometry problems, The Charles Babbage Research Center, Winnipeg (1989).Google Scholar
2. Fukagawa, Hidetoshi and Rigby, John F. Traditional Japanese mathematics problems of the 18th and 19th centuries, SCT Publishing, Singapore (to appear).Google Scholar
3. Sakuma, Tumugu Toyo Sanpo, wood-block printed (1853).Google Scholar
4. Hirayama, Akira People of Wasan on record, Fuji Junior College Press, Tokyo 1965 (in Japanese).Google Scholar
5. Aida, Yasuaki (1747–1817), Sanpou Reiyakujutu (handwritten), section 2, para. 2.3.3.Google Scholar