Quadrature of the Circle in Ancient Egypt.- Archimedes. Preface.- Acknowledgements.- Introduction.- The Rhind Mathematical Papyrus-Problem 50.- Engles. There is a substantial exposition of the recent history of the computation of digits of pi, a discussion of the normality of the distribution of the digits, and new translations of works by Viete and Huygen.
For this new edition, the authors have updated the original material while adding new material of historical and cultural interest. Additionally, there is a selection of pieces that are anecdotal, fanciful, or simply amusing.
There is also a variety of historical studies on the cultural significance of the number. First and foremost there is a selection from the mathematical and computational literature of four millennia. The articles on pi collected herein fall into various classes. One of the beauties of the literature on pi is that it allows for the inclusion of very modern, yet accessible, mathematics. This book documents the history of pi from the dawn of mathematical time to the present. Contributions to Mathematics Comprising Chiefly of the Rectification of the Circle to 607 Places of Decimals.- Hermite. Mémoire Sur Quelques Proprietés Remarquables Des Quantités Transcendentes Circulaires et Logarithmiques.- Lambert. Chapter 10 of Introduction to Analysis of the Infinite.- Lambert. Of The Method of Fluxions and Infinite Series.- Euler. The First Use of Pi for the Circle Ratio.- Newton. Correspondence with John Collins.- Jones. De Circuli Magnitudine Inventa.- Gregory. Computation of Pi by Successive Interpolations.- Wallis. Variorum de Revus Mathematicis Reponsorum Liber VII.- Wallis.
#DE CIRCULI MAGNITUDINE INVENTA EXPLANATION SERIES#
The Power Series for Arctan and Pi.- Hope-Jones. Circle Measurements in Ancient China.- The Banu Musa: The Measurement of Plane and Solid Figures.- Madhava's. Archimedes the Numerical Analyst.- Lam & Ang.
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