Sacred Mathematics: Japanese Temple Geometry

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Princeton University Press, 2008 - 348 pàgines
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Between the seventeenth and nineteenth centuries Japan was totally isolated from the West by imperial decree. During that time, a unique brand of homegrown mathematics flourished, one that was completely uninfluenced by developments in Western mathematics. People from all walks of life--samurai, farmers, and merchants--inscribed a wide variety of geometry problems on wooden tablets called sangaku and hung them in Buddhist temples and Shinto shrines throughout Japan. Sacred Mathematics is the first book published in the West to fully examine this tantalizing--and incredibly beautiful--mathematical tradition.

Fukagawa Hidetoshi and Tony Rothman present for the first time in English excerpts from the travel diary of a nineteenth-century Japanese mathematician, Yamaguchi Kanzan, who journeyed on foot throughout Japan to collect temple geometry problems. The authors set this fascinating travel narrative--and almost everything else that is known about temple geometry--within the broader cultural and historical context of the period. They explain the sacred and devotional aspects of sangaku, and reveal how Japanese folk mathematicians discovered many well-known theorems independently of mathematicians in the West--and in some cases much earlier. The book is generously illustrated with photographs of the tablets and stunning artwork of the period. Then there are the geometry problems themselves, nearly two hundred of them, fully illustrated and ranging from the utterly simple to the virtually impossible. Solutions for most are provided.

A unique book in every respect, Sacred Mathematics demonstrates how mathematical thinking can vary by culture yet transcend cultural and geographic boundaries.

 

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Continguts

Japan and Temple Geometry
1
The Chinese Foundation of Japanese Mathematics
27
Japanese Mathematics and Mathematicians of the Edo Period
59
Easier Temple Geometry Problems
89
Harder Temple Geometry Problems
145
Still Harder Geometry Problems
191
The Travel Diary of Mathematician Yamaguchi Kanzan
243
East and West
283
The Mysterious Enri
301
Introduction to Inversion
313
For Further Reading
337
Index
341
Copyright

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Quant a l’autor (2008)

Fukagawa Hidetoshi is a retired high-school teacher in Japan, and one of the world's experts on "sangaku". He is the coauthor of "Japanese Temple Geometry Problems". Tony Rothman is a theoretical cosmologist who lectures in physics at Princeton University. His books include "Everything's Relative and Other Fables from Science and Technology".

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