文艺复兴的时代骄子:修士数学家卢卡·帕乔利

The Pride of the Age of Renaissance: Friar Mathematician Luca Pacioli

卢卡·帕乔利堪称文艺复兴的“时代骄子”。他的《算术、几何、比与比例概要》(简称《数学大全》)是一部百科全书式数学巨著,从中析出的《簿记论》是世界上第一部关于复式簿记的著作,在世界会计发展史上开创了具有深远影响的“卢卡·帕乔利时代”。本文通过描述意大利的算术、商业和文化环境,探讨帕乔利作为修士数学家在数学撰著和教学方面做出的重要成就,揭示帕乔利的学术交友圈,分析他的《数学大全》和其他著作,进而全面评价帕乔利在文艺复兴时期对算术、代数、几何等数学知识的发展和进步所做出的重要贡献。

Luca Pacioli was the pride of the age of Renaissance. His Summa de Arithmetica Geometria Proportioni et Proportionalita(hereinafter referred to as Summa) is an encyclopedic mathematical masterpiece in the annals of history. The Summa de Arithmetica Geometria Proportioni et Proportionalita in Summa is the first work about double-entry bookkeeping, and ushered in “Luca Pacioli’s Era” which has a far-reaching influence in the world history of accounting. On the basis of original texts, by describing the Italian arithmetic,business and cultural environment, this paper aims to investigate Pacioli’s important achievements as a Friar mathematician in the compilation and teaching of mathematics and his academic circle of friends. Meanwhile, by analyzing his mathematical books and other works, this paper gives a comprehensive evaluation of Pacioli during the Renaissance of how he made contributions to the development and progress of mathematical knowledge of arithmetic, algebra, and geometry.