Revolutions in mathematics
著者
書誌事項
Revolutions in mathematics
(Oxford science publications)
Clarendon Press, 1992
- : hard
大学図書館所蔵 全12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 (p. [322]-343) and index
内容説明・目次
内容説明
The publication of Kuhn's "The Structure of Scientific Revolutions" in 1962 led to an exciting discussion of revolutions in the natural sciences. A fascinating, but little known, off-shoot of this was a debate which began in the United States in the mid-1970s as to whether the concept of revolution could be applied to mathematics as well as science. Michael Grove declared that revolutions never occur in mathematics, while Joseph Dauben argued that there have been mathematical revolutions and gave some examples. This book is a comprehensive examination of the question. It reprints the original papers of Grove, Dauben, and Mehrtens, together with additional chapters giving their current views. To this are added new contributions from nine further experts in the history of mathematics, who each discuss an important episode and consider whether it was a revolution. The whole question of mathematical revolutions is thus examined coprehensively, and from a variety of theoretical perspectives.
目次
- Ten "laws" concerning patterns of change in the history of mathematics 1975, Michael Crowe
- T.S. Kuhn's theories and mathematics - a discussion paper on the new historiography of mathematics 1976, Herbert Mehrtens
- appendix 1992 - revolutions reconsidered, Herbert Mehrtens
- conceptual revolutions and the history of mathematics - two studies in the growth of knowledge 1984, Joseph Dauben
- appendix 1992 - revolutions revisisted, Joseph Dauben
- Descartes' geometrie and revolutions in mathematics, Paolo Mancosu
- was Leibniz a mathematical revolutionary?, Emily Grosholz
- the "fine structure" of mathematical revolutions - metaphysics, legitimacy, and rigour - the case of the calculus from Newton to Berkeley and MacLaurin, Giulio Giorelio
- non-Euclidean geometry and revolutions in mathematics, Yuxin Zheng
- the "revolution" in the geometrical vision of space in the 19th century and the hermeneutical epistemology of mathematics, Luciano Boi
- meta-level revolutions in mathematics, Caroline Dunmore
- the 19th century-revolution in mathematical ontology, Jeremy Gray
- a restoration that failed - Paul Finsler's theory of sets, Herbert Breger
- the Fregean revolution in logic, Donald Gillies
- afterword 1982 - a revolution in the historiography of mathematics?, Michael Crowe.
「Nielsen BookData」 より