Pi: a Source Book

Berggren, L./ Borwein, J./ Borwein, P.

Springer-Verlag New York Inc.（1997/05発売）

• 製本 Hardcover:ハードカバー版／ページ数 735 p.
• 言語 ENG
• 商品コード 9780387949246
• DDC分類 516.22

Full Description

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.

Contents

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.