| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
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| Outline of Final Research Achievements |
Luca Pacioli (ｃ．1445-1517) is a representative mathematician of Renaissance Italy. We compared his printed editions and manuscripts in the point of mathematical contents and structure of the works, and we showed the whole picture of the mathematics of Pacioli. Especially his opus magnum The Summary of Arithmetic, Geometry, Proportions and Proportionality and his lecture note The Perugia Manuscript were compared. In addition we showed the manuscript On the Quantity is an encyclopedia of contemporary mathematics and mathematical recreation. Pacioli not only collected traditional works on mathematics, but also added his own results to his works. We showed his mathematical thoughts in his other works and Italian mathematical culture in his time.
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