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British versions of Book II of Euclid's Elements geometry, arithmetic, algebra (1550-1750) / [electronic resource] :

  • 作者: Corry, Leo.
  • 其他作者:
  • 其他題名:
    • SpringerBriefs in history of science and technology.
  • 出版: Cham : Springer International Publishing :Imprint: Springer
  • 叢書名: SpringerBriefs in history of science and technology,
  • 主題: Euclid. , Euclid's Elements--History--16th century. , Euclid's Elements--History--17th century. , Mathematical literature--Great Britain--History--16th century. , History of Science. , Logic. , Algebraic Geometry. , Arithmetic and Logic Structures. , Historiography and Method.
  • ISBN: 9783031115387 (electronic bk.) 、 9783031115370 (paper)
  • FIND@SFXID: CGU
  • 資料類型: 電子書
  • 內容註: 1. Introduction: Euclidean Background -- 2. The Main Figures: From Recorde to Wallis and Barrow -- 3. Some Lesser-known Figures -- 4. Summary and Concluding Remarks -- 5. References.
  • 摘要註: This book discusses the changing conceptions about the relationship between geometry and arithmetic within the Euclidean tradition that developed in the British context of the sixteenth and seventeenth century. Its focus is on Book II of the Elements and the ways in which algebraic symbolism and methods, especially as recently introduced by Franc?ois Vie?te and his followers, took center stage as mediators between the two realms, and thus offered new avenues to work out that relationship in idiosyncratic ways not found in earlier editions of the Euclidean text. Texts examined include Robert Recorde's Pathway to Knowledge (1551), Henry Billingsley's first English translation of the Elements (1570), Clavis Mathematicae by William Oughtred and Artis Analyticae Praxis by Thomas Harriot (both published in 1631), Isaac Barrow's versions of the Elements (1660), and John Wallis Treatise of Algebra (1685), and the English translations of Claude Dechales' French Euclidean Elements (1685) This book offers a completely new perspective of the topic and analyzes mostly unexplored material. It will be of interest to historians of mathematics, mathematicians with an interest in history and historians of renaissance science in general.
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  • 系統號: 005517848 | 機讀編目格式
  • 館藏資訊

    This book discusses the changing conceptions about the relationship between geometry and arithmetic within the Euclidean tradition that developed in the British context of the sixteenth and seventeenth century. Its focus is on Book II of the Elements and the ways in which algebraic symbolism and methods, especially as recently introduced by François Viète and his followers, took center stage as mediators between the two realms, and thus offered new avenues to work out that relationship in idiosyncratic ways not found in earlier editions of the Euclidean text. Texts examined include Robert Recorde's Pathway to Knowledge (1551), Henry Billingsley’s first English translation of the Elements (1570), Clavis Mathematicae by William Oughtred and Artis Analyticae Praxis by Thomas Harriot (both published in 1631), Isaac Barrow’s versions of the Elements (1660), and John Wallis Treatise of Algebra (1685), and the English translations of Claude Dechales’ French Euclidean Elements (1685). This book offers a completely new perspective of the topic and analyzes mostly unexplored material. It will be of interest to historians of mathematics, mathematicians with an interest in history and historians of renaissance science in general.

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