神戸大学附属図書館デジタルアーカイブ
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https://doi.org/10.24546/81000841
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2024-03-29
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81000841 (fulltext)
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81000841
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open access
出版タイプ
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タイトル
アルヴァロ・トマスの運動論における数学 : 16世紀初頭パリにおけるオックスフォードの数学の影響
その他のタイトル
Mathematics in the Theory of Motion of Alvaro Thomas : The Influence of the Mathematics of Oxford into Paris in the Early Sixteenth-century
著者
著者名
三浦, 伸夫
Miura, Nobuo
ミウラ, ノブオ
所属機関名
神戸大学大学院国際文化学研究科
収録物名
国際文化学研究 : 神戸大学大学院国際文化学研究科紀要
巻(号)
28
ページ
67-103
出版者
神戸大学大学院国際文化学研究科
刊行日
2007-07
公開日
2009-01-22
注記
本文ファイルは、国立情報学研究所CiNiiより提供されたものです。
抄録
In the first half of the fourteenth-century Oxford many scholars developed the theory of motion in medieval cultural context. The most important figure among them is Richard Swineshead. His opus mains, 'Book of Calculations', had a great influence into many scholars in Paris, especially Oresme. They discussed the spaces moved by mobile. For their discussion they used mathematical technique, summation of infinite geometrical series, by adding proportional parts infinitely. In the early sixteenth-century many Iberian students visited Paris to study theology under Scottish John Major, and learned also Aristotelian physics as students of faculty of arts. Some of them developed further the mathematical devices. The most conspicuous figure of this school, Alvaro Thomas, who was born in Lisbon probably during the second half of the fifteenth-century, wrote a voluminous treatise 'Book of the Triple Motion' at Paris in 1509. This is a kind of sophism treatise popular in Oxford in the fourteenth-century and perhaps used as a textbook of logical reasoning at the faculty of arts. In this article, first, an overview of the contents of the book is presented and the mathematical techniques used there are discussed. This book elucidates the Mertonian theory of motion discussed in Swineshead's treatise, but went over that text, for he had focus upon pre-infinitesimal calculation. Secondly, novelties introduced by Thomas are discussed, that is the summation of infinite geometrical series of Oxford school. His impressive originality in the theory of series is that even if the exact numerical value was not known, he believed that he could evaluate it by estimations of upper and lower values which had been already known. He also calculated series by dividing it into two series which were easily calculated. However it is reasonable to think that he might use geometry in working his mathematics even if his description was rhetorical. He did not show general rules for solving series. And he usually did not use geometrical figures. His intuitive technique appeared in the later Iberian scholars and had an influence even upon Latin America.
キーワード
科学史
スワインズヘッド
数学史
無限級数
アルバロ・トマス
History of science
Swineshead
History of mathematics
Infinite series
Alvaro Thomas
カテゴリ
国際文化学研究科
国際文化学研究 : 神戸大学大学院国際文化学研究科紀要
>
28号(2007-07)
紀要論文
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資源タイプ
departmental bulletin paper
言語
Japanese (日本語)
ISSN
1340-5217
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NCID
AN10436600
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NAID
110006483177
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