書誌事項

The non-Euclidean revolution

Richard J. Trudeau ; with an introduction by H.S.M. Coxeter

Birkhäuser, c1999

  • : pbk. : us
  • : pbk. : sz

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注記

Bibliography: p. 261-262

Includes index

内容説明・目次

内容説明

Richard Trudeau confronts the fundamental question of truth and its representation through mathematical models in The Non-Euclidean Revolution. First, the author analyzes geometry in its historical and philosophical setting; second, he examines a revolution every bit as significant as the Copernican revolution in astronomy and the Darwinian revolution in biology; third, on the most speculative level, he questions the possibility of absolute knowledge of the world. Trudeau writes in a lively, entertaining, and highly accessible style. His book provides one of the most stimulating and personal presentations of a struggle with the nature of truth in mathematics and the physical world.

目次

Preface.-Introduction.-First Things.-Euclidean Geometry.-Geometry and the Diamond Theory of Truth.-The Problem of Postulate Truth.-The Possibility of Non-Euclidean Geometry.-Hyperbolic Geometry.-Consistency.-Geometry and the Story Theory of Truth.-Bibliography.-Index.

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詳細情報

  • NII書誌ID(NCID)
    BA76817893
  • ISBN
    • 0817642374
    • 3764342374
  • 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
    Boston ; Basel
  • ページ数/冊数
    xii, 269 p.
  • 大きさ
    24 cm
  • 分類
  • 件名
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