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.
Rezensionen / Stimmen
"An equal to its companion volume, The Mathematics of Egypt, Mesopotamia, China, India, and Islam: A Sourcebook this scholarly effort fills a noticeable void... Any individual who enjoys mathematics will learn a great amount about mathematical history in a context that is often not discussed or covered."--Choice "[A] very deep and detailed dive into the mathematics of the medieval era."--Charles Ashbacher, MAA Reviews
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Produkt-Hinweis
Illustrationen
Maße
Höhe: 262 mm
Breite: 196 mm
Dicke: 45 mm
Gewicht
ISBN-13
978-0-691-15685-9 (9780691156859)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Victor J. Katz is professor of mathematics emeritus at the University of the District of Columbia. Menso Folkerts is professor emeritus of the history of science at the Ludwig Maximilian University of Munich. Barnabas Hughes is professor emeritus of secondary education at California State University, Northridge. Roi Wagner is a research fellow at the Minerva Humanities Center at Tel Aviv University. J. Lennart Berggren is professor emeritus of the history of mathematics at Simon Fraser University in Canada.
*Frontmatter, pg. i*Contents, pg. v*Preface, pg. xi*Permissions, pg. xiii*General Introduction, pg. 1*Chapter 1. The Latin Mathematics of Medieval Europe, pg. 4*Chapter 2. Mathematics in Hebrew in Medieval Europe, pg. 224*Chapter 3. Mathematics in the Islamic World in Medieval Spain and North Africa, pg. 381*Appendices, pg. 549*Editors and Contributors, pg. 567*Index, pg. 571