The development of mathematics in medieval Europe : the Arabs, Euclid, Regiomontanus
Author(s)
Bibliographic Information
The development of mathematics in medieval Europe : the Arabs, Euclid, Regiomontanus
(Variorum collected studies series, CS811)
Ashgate/Variorum, c2006
Available at 6 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
Includes bibliographical references and index
"This volume contains xii + 340 pages" -- p. vii
Description and Table of Contents
Description
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.
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 fA1/4r 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.
by "Nielsen BookData"