Pi: A Source Book / by Lennart Berggren, Jonathan Borwein, Peter Borwein
| データ種別 | 電子ブック |
|---|---|
| 版 | Third Edition |
| 出版者 | New York, NY : Springer New York : Imprint: Springer |
| 出版年 | 2004 |
| 本文言語 | 英語 |
| 大きさ | XIX, 797 p. 40 illus : online resource |
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| 内容注記 | 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. Mémoire Sur Quelques Proprietés Remarquables Des Quantités 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 |
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| 一般注記 | This book documents the history of pi from the dawn of mathematical time to the present. One of the beauties of the literature on pi is that it allows for the inclusion of very modern, yet accessible, mathematics. The articles on pi collected herein include selections from the mathematical and computational literature over four millennia, a variety of historical studies on the cultural significance of the number, and an assortment of anecdotal, fanciful, and simply amusing pieces. For this new edition, the authors have updated the original material while adding new material of historical and cultural interest. 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, new translations of works by Viete and Huygen, as well as Kaplansky's never-before-published "Song of Pi." From the reviews of earlier editions: "Few mathematics books serve a wider potential readership than does a source book and this particular one is admirably designed to cater for a broad spectrum of tastes: professional mathematicians with research interest in related subjects, historians of mathematics, teachers at all levels searching out material for individual talks and student projects, and amateurs who will find much to amuse and inform them in this leafy tome. The authors are to be congratulated on their good taste in preparing such a rich and varied banquet with which to celebrate pi." - Roger Webster for the Bulletin of the LMS "The judicious representative selection makes this a useful addition to one's library as a reference book, an enjoyable survey of developments and a source of elegant and deep mathematics of different eras." - Ed Barbeau for MathSciNet "Full of useful formulas and ideas, it is a vast source of inspiration to any mathematician, A level and upwards-a necessity in any maths library." - New Scientist |
| 著者標目 | *Berggren, Lennart author Borwein, Jonathan author Borwein, Peter author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Functions of real variables LCSH:Numerical analysis LCSH:History LCSH:Number theory FREE:Mathematics FREE:History of Mathematical Sciences FREE:Real Functions FREE:Numerical Analysis FREE:Number Theory |
| 分 類 | DC23:510.9 |
| 巻冊次 | ISBN:9781475742176 
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| ISBN | 9781475742176 |
| URL | http://dx.doi.org/10.1007/978-1-4757-4217-6 |
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