The development of mathematics in medieval Europe : the Arabs, Euclid, Regiomontanus
著者
書誌事項
The development of mathematics in medieval Europe : the Arabs, Euclid, Regiomontanus
(Variorum collected studies series, CS811)
Ashgate/Variorum, c2006
大学図書館所蔵 全6件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Includes bibliographical references and index
"This volume contains xii + 340 pages" -- p. vii
内容説明・目次
内容説明
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.
目次
- 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.
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