Euclid and his twentieth century rivals : diagrams in the logic of Euclidean geometry

著者

    • Miller, Nathaniel

書誌事項

Euclid and his twentieth century rivals : diagrams in the logic of Euclidean geometry

Nathaniel Miller

(Studies in the theory and applications of diagrams / Dave Barker-Plummer, series editor)

CSLI Publications, c2007

  • : pbk. : alk. paper
  • : cloth

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注記

Includes bibliographical references (p. 115-116) and index

内容説明・目次

内容説明

Twentieth-century developments in logic and mathematics have led many people to view Euclid's proofs as inherently informal, especially due to his use of diagrams. In "Euclid and His Twentieth-Century Rivals", Nathaniel Miller discusses the history of such diagrams in Euclidean geometry, develops a formal system for working with them, and concludes that they can indeed be used rigorously. Miller also introduces a diagrammatic computer proof system, based on this formal system. This volume will be of interest to mathematicians, computer scientists, and anyone interested in the use of diagrams in geometry.

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詳細情報

  • NII書誌ID(NCID)
    BA83430383
  • ISBN
    • 9781575865089
    • 9781575865072
  • LCCN
    2006032415
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Stanford, Calif.
  • ページ数/冊数
    viii, 119 p.
  • 大きさ
    23 cm
  • 分類
  • 件名
  • 親書誌ID
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