Menso Folkerts

"Vortrèage, gehalten anlèasslich eines Arbeitsgesprèaches vom 18. bis 22. Juni 1990 in der Herzog August Bibliothek"--Verso of t.p.

der lateinische und arabische Sprachbereich

Mathematische Probleme im Mittelalter

This volume complements the previous collection of articles by Menso Folkerts, Essays on Early Medieval Mathematics. It deals with the development of mathematics in Europe from the 12th century to about 1500.

The Arabs, Euclid, Regiomontanus

The Development of Mathematics in Medieval Europe

Taylor & Francis Group

This book deals with the mathematics of the medieval West between ca. 500 and 1100, the period before the translations from Arabic and Greek had their impact. Four of the studies appear for the first time in English. Among the topics treated are: the Roman surveyors (agrimensores); recreational mathematics in the period of Bede and Alcuin; geometrical texts compiled in Corbie and Lorraine from Latin sources from late antiquity; the abacus at the time of Gerbert (pope Sylvester II.); and a board-game invented in the first half of the 11th century (the 'Rithmimachia') to help people to learn mathematics. Included in the volume are critical editions of several texts, e.g. that of Franco of Liège on squaring the circle, Bede and Alcuin on recreational mathematics, and part of Pseudo-Boethius' Geometry I. The book opens with a survey of mathematics in the Middle Ages, and ends with a history of Rithmimachia up to the 17th century, when the game fell into disuse.

The Latin Tradition

Essays on Early Medieval Mathematics

H.L. Busard

Robert of Chester’s Redaction of Euclid’s Elements, the so-called Adelard II Version

Victor J. Katz

J. Lennart Berggren

Barnabas Hughes

Roi Wagner

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 Hūd’s extensive survey of mathematics, which included proofs of Heron’s Theorem and Ceva’s Theorem; and Muhyī al-Dīn al-Maghribī’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.

Sourcebook in the Mathematics of Medieval Europe and North Africa

Christoph J. Scriba

Eberhard Knobloch

Joseph Dauben

Hans Wussing

The contributors and their methods are diverse. Their papers deal with subjects such as anamorphic art, the geometry of Durer, musical works of Mozart and Beethoven, the history of negative numbers, the development of mathematical notation, and efforts to bring mathematics to bear on problems in commerce and engineering. All papers have English summaries. This book provides historians of mathematics or mathematicians with an interest in history with an overview of the methods, concerns, and results of research in the history of mathematics as it stands today.

States of the Art

History of Mathematics

Rudolf Seising

Ulf Hashagen

Dieser Band mit 42 aktuellen Arbeiten von 45 Wissenschafts- und Technikwissenschaftlern erscheint aus Anlass des 65. Geburtstages des Muenchner Wissenschaftshistorikers Ivo Schneider. In den einzelnen Beitr�gen der Autoren, von denen die meisten der Wissenschafts- und Technikgeschichte, einige aber auch der Wissenschaftsphilosophie bzw. anderen Wissenschaftsdisziplinen entstammen, werden Arbeiten zur gesamten Wissenschafts- und Technikgeschichte von der Antike bis zum 20. Jahrhundert pr�sentiert. Aus den verschiedenen Kontexten heraus verweisen die Beitr�ge auf die Bedeutung von Form(en) in Mathematik und Philosophie, sie zeigen, dass keine moderne Naturwissenschaft ohne Zahl und Ordnung auskommt, wie auch die (moderne) Mathematik oft mehr mit Ordnung denn mit Zahl zu tun hat. Dem Leser wird in diesem Band das gro�e Spektrum reflektionswissenschaftlicher Forschung ausgebreitet, das in der gegenw�rtigen Wissenschaftslandschaft leider immer weniger beruecksichtigt wird.

Studien zur Wissenschafts- und Technikgeschichte : Ivo Schneider zum 65. Geburtstag

Form, Zahl, Ordnung

Yvonne Dold-Samplonius

Joseph W. Dauben

Benno Van Dalen

The reports of a conference of 11 scholars who began the task of examing together primary sources that might shed som elight on exactly how and in what fomrs mathematical problems, concepts, and techniques may have been transmitted between various civilizations, from antiquity down to the European Renaissance following more or less the legendary silk routes between China and Western Europe.

Menso Folkerts

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