Pi, a source book

Pi, a source book

by Berggren, Lennart Borwein, Jonathan M. Borwein, Peter B.

Type Book
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"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…

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Title Statements

  • Full title :Pi, a source book / [edited by] Lennart Berggren, Jonathan Borwein, Peter Borwein.

Summary

"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.'"--Publisher's website

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Edition Statements

  • Publication Date:©2004
  • Edition:Third edition

Publication Statements

  • Publisher(s):Springer
  • Place of Publication:New York
  • Language:eng
  • Publication Date:©2004

The Physical Object

  • Description:1 online resource (xix, 797 pages) : : illustrations

Edition Identifiers

  • ISBN:9781475742176, 1475742177, 9781475732405, 1475732406
  • DOI:10.1007/978-1-4757-3240-5
  • oclc:ocn861706272
  • LC Classification:QA484
  • Dewey Decimal:516.22

Table of Contents

Preface. -- Acknowledgments. -- Introduction. -- The Rhind mathematical papyrus-problem 50 (̃1650 B.C.). -- Engles. Quadrature of the circle in ancient Egypt (1977). -- Archimedes. Measurement of a circle (̃250 B.C.). -- Phillips. Archimedes the numerical analyst (1981). -- Lam and Ang. Circle measurements in ancient China (1986). -- The Banū Mūsā: the measurement of plane and solid figures (̃850). -- Mādhava. The power series for Arctan and Pi (̃1400). -- Hope-Jones. Ludolph (or Ludolff or Lucius) van Ceulen (1938). -- Viète. Variorum de Rebus Mathematicis Reponsorum Liber VII (1593). -- Wallis. Computation of Pi by successive interpolations (1655). -- Wallis. Arithmetica Infinitorum (1655).- Huygens. De Circuli Magnitudine Inventa (1654). -- Gregory. Correspondence with John Collins (1671). -- Roy. The discovery of the series formula for Pi by Leibniz, Gregory, and Nilakantha (1990). -- Jones. The first use of Pi for the circle ratio (1706). -- Newton. Of the method of fluxions and infinite series (1737). -- Euler. Chapter 10 of "Introduction to analysis of the infinite" (On the use of the discovered fractions to sum infinite series) (1748). -- Lambert. Mémoire Sur Quelques Propriet…

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Subjects

Pi Pi (Le nombre)

Writers

Berggren, Lennart Borwein, Jonathan M. Borwein, Peter B.

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