Author | Berggren, Lennart. author |
---|---|
Title | Pi: A Source Book [electronic resource] / by Lennart Berggren, Jonathan Borwein, Peter Borwein |
Imprint | New York, NY : Springer New York : Imprint: Springer, 2000 |
Edition | Second Edition |
Connect to | http://dx.doi.org/10.1007/978-1-4757-3240-5 |
Descript | XIX, 736 p. online resource |
Preface -- Acknowledgements -- Introduction -- The Rhind Mathematical Papyrus-Problem 50 -- Engles. Quadrature of the Circle in Ancient Egypt -- Archimedes. Measurement of a Circle -- Phillips. Archimedes the Numerical Analyst -- Lam & Ang. Circle Measurements in Ancient China -- The Banu Musa: The Measurement of Plane and Solid Figures -- Madhava's. The Power Series for Arctan and Pi -- Hope-Jones. Ludolph van Ceulen -- Viete. Variorum 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. The First Use of Pi for the Circle Ratio -- Newton. Of The Method of Fluxions and Infinite Series -- Euler. Chapter 10 of Introduction to Analysis of the Infinite -- Lambert. Mรฉmoire Sur Quelques Proprietรฉs Remarquables Des Quantitรฉs 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 -- And much more..