Pi : a source book

著者

• Berggren, Lennart
• Borwein, Jonathan M.
• Borwein, Peter B.

書誌事項

Pi : a source book

[edited by] Lennart Berggren, Jonathan Borwein, Peter Borwein

Springer, c1997

注記

Bibliographiy: p. 690-696

Includes index

内容説明・目次

内容説明

This text provides a complete history of pi from the dawn of mathematical time to the present. Chapters cover such topics as: quadrature of the circle in Ancient Egypt; circle measurements in Ancient China; and the irrationality of Pi.

目次

• The Rhind mathematical papyryus - problem 50, Engles
• quadrature of the circle in Ancient Europe, Archimedes
• measurement of a circle, Phillips
• Archimedes the numerical analyst, Lam and Ang
• circle measurements in Ancient China, the Banu Musa
• the measurement of plane and solid figures, Madhava
• the power series for Arctan and Pi, Hope-Jones
• Ludolph van Ceulen, Viete
• varorium de revus mathematicis reponsorum liber VII, Wallis
• computation of Pi by successive interpolations, Wallis
• arithmetica infinitorum, Huygens
• de circuli magnitudine inventa, Gregory
• correspondence with John Collins, Jones
• thy first use of Pi for the circle ratio, Newton
• of the method of fluxions and infinite series, Lambert
• memoire sur quelques proprietes remarquables des quantites transcendentes circulaires et logarithmiques, Lambert
• irrationality of Pi, Shanks
• contributions to mathematics comprising chiefly of the rectification of the circle to 607 places of decimals, Hermite
• sur la fonction exponentielle, Lindemann.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA32383275
• ISBN:
  • 0387949240
• LCCN: 96040196
• 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: New York
• ページ数/冊数: xix, 716 p.
• 大きさ: 26 cm
• 分類:
  • LCC : QA484
  • DC21 : 516.22
• 件名:
  • LCSH : Pi