The Development of Mathematics in Medieval Europe: The Arabs, Euclid, Regiomontanus, 1st Edition (Hardback) book cover

The Development of Mathematics in Medieval Europe

The Arabs, Euclid, Regiomontanus, 1st Edition

By Menso Folkerts


360 pages

Purchasing Options:$ = USD
Hardback: 9780860789574
pub: 2006-01-28
SAVE ~$37.00

FREE Standard Shipping!


The Development of Mathematics in Medieval Europe complements the previous collection of articles by Menso Folkerts, Essays on Early Medieval Mathematics, and deals with the development of mathematics in Europe from the 12th century to about 1500. In the 12th century European learning was greatly transformed by translations from Arabic into Latin. Such translations in the field of mathematics and their influence are here described and analysed, notably al-Khwarizmi's "Arithmetic" -- through which Europe became acquainted with the Hindu-Arabic numerals -- and Euclid's "Elements". Five articles are dedicated to Johannes Regiomontanus, perhaps the most original mathematician of the 15th century, and to his discoveries in trigonometry, algebra and other fields. The knowledge and application of Euclid's "Elements" in 13th- and 15th-century Italy are discussed in three studies, while the last article treats the development of algebra in South Germany around 1500, where much of the modern symbolism used in algebra was developed.


’Few scholars, if any, know more than Folkerts about medieval Latin mathematical manuscripts… whoever is interested in medieval Latin mathematics can therefore learn from this book… Summing up, Folkert's description of 15th-century German algebra is certainly indispensable for any further discussion of the topic in that it lists all known important and several […] minor manuscript sources and points to many of the parameters that have to be taken into account.’ Aestimatio ’Together with the previous volume on Essays in early Medieval Mathematics, … the book under review is indispensable for all research scholars in the history of science in antiquity, the Islamic and European medieval period, and the Renaissance.’ Suhayl

Table of Contents

Contents: Preface; Arabic mathematics in the West; Early texts on Hindu-Arabic calculation; Euclid in Medieval Europe; Probleme der Euklidinterpretation und ihre Bedeutung für die Entwicklung der Mathematik; Die mathematischen Studien Regiomontans in seiner Wiener Zeit; Regiomontanus' role in the transmission and transformation of Greek mathematics; Regiomontanus' approach to Euclid; Regiomontanus' role in the transmission of mathematical problems; Leonardo Fibonacci's knowledge of Euclid's Elements and of other mathematical texts; Piero della Francesca and Euclid; Luca Pacioli and Euclid; Algebra in Germany in the 15th century; Indexes.

About the Author

Menso Folkerts is Professor of the History of Science at the University of Munich, Germany, and the author of a second collection in the Variorum series: Essays on Early Medieval Mathematics.

About the Series

Variorum Collected Studies

The first title in the Variorum Collected Studies series was published in 1970. Since then well over 1000 titles have appeared in the series, and it has established a well-earned international reputation for the publication of key research across a whole range of subjects within the fields of history.

The history of the medieval world remains central to the series, with Byzantine studies a particular speciality, but the range of titles extends from Hellenistic philosophy and the history of the Roman empire and early Christianity, through the Renaissance and Reformation, up to the 20th century. Islamic Studies forms another major strand as do the histories of science, technology and medicine.

Each title in the Variorum Collected Studies series brings together for the first time a selection of articles by a leading authority on a particular subject. These studies are reprinted from a vast range of learned journals, Festschrifts and conference proceedings. They make available research that is scattered, even inaccessible in all but the largest and most specialized libraries. With a new introduction and index, and often with new notes and previously unpublished material, they constitute an essential resource. 

For further information about contributing to the series please contact Michael Greenwood at

Learn more…

Subject Categories

BISAC Subject Codes/Headings:
HISTORY / General
MATHEMATICS / History & Philosophy