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Sourcebook in the Mathematics of Medieval Europe and North Africa.

Sourcebook in the Mathematics of Medieval Europe and North Africa. 中世欧州・北アフリカの数学の史料集

・ISBN 978-0-691-15685-9 cloth US$ 120.00

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著者・編者Katz, Victor J. / Folkerts, M. / Hughes, B. et al. (eds.),
出版社(Princeton U. Pr., US)
出版年月2016
ページ数592 pp.
言語ENG
ニュース番号<633-154 633-P392>

解説

Medieval Europe was a meeting place for the Christian, Jewish, and Islamic civilizations, and the fertile intellectual exchange of these cultures can be seen in the mathematical developments of the time. This sourcebook presents original Latin, Hebrew, and Arabic sources of medieval mathematics, and shows their cross-cultural influences. Most of the Hebrew and Arabic sources appear here in translation for the first time. Readers will discover key mathematical revelations, foundational texts, and sophisticated writings by Latin, Hebrew, and Arabic-speaking mathematicians, including Abner of Burgos's elegant arguments proving results on the conchoid--a curve previously unknown in medieval Europe; Levi ben Gershon's use of mathematical induction in combinatorial proofs; Al-Mu'taman Ibn H?d's extensive survey of mathematics, which included proofs of Heron's Theorem and Ceva's Theorem; and Muhy? al-D?n al-Maghrib?'s interesting proof of Euclid's parallel postulate. The book includes a general introduction, section introductions, footnotes, and references. The Sourcebook in the Mathematics of Medieval Europe and North Africa will be indispensable to anyone seeking out the important historical sources of premodern mathematics.