A Study of Pacioli's Mathematics based upon the Manuscripts

2015 Fiscal Year Final Research Report

• Project/Area Number: 24501246
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Sociology/History of science and technology
• Research Institution: Kobe University
• Principal Investigator: MIURA NOBUO 神戸大学, その他の研究科, 教授 (20219588)
• Project Period (FY): 2012-04-01 – 2016-03-31
• Keywords: 科学史

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.

Free Research Field

科学史