Pi
Springer-Verlag New York Inc.
978-0-387-98946-4 (ISBN)
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A complete history of pi from the dawn of mathematical time to the present, reflecting the most seminal, the most serious and sometimes the silliest aspects of mathematics. Pi is one of the few concepts in mathematics whose mention evokes a response of recognition and interest in those not concerned professionally with the subject. Yet, despite this, no source book on pi has been published. The literature on pi included here falls into three classes: first a selection of the mathematical literature of four millennia, followed by a variety of historical studies or writings on the cultural meaning and significance of the number, and third, a number of treatments on pi that are fanciful, satirical and/or whimsical. Mathematicians and historians of mathematics will find this book indispensable, while teachers at every level from the seventh grade onward will find ample resources for an
From the contents: 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. 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.- And much more...
| Zusatzinfo | Illustrations, ports. |
|---|---|
| Verlagsort | New York, NY |
| Sprache | englisch |
| Einbandart | gebunden |
| Themenwelt | Schulbuch / Wörterbuch ► Lexikon / Chroniken |
| Mathematik / Informatik ► Mathematik ► Graphentheorie | |
| ISBN-10 | 0-387-98946-3 / 0387989463 |
| ISBN-13 | 978-0-387-98946-4 / 9780387989464 |
| Zustand | Neuware |
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