Pi: A Source Book

  • Lennart Berggren
  • Jonathan Borwein
  • Peter Borwein

Table of contents

  1. Front Matter
    Pages i-xix
  2. Lennart Berggren, Jonathan Borwein, Peter Borwein
    Pages 1-2
  3. Lennart Berggren, Jonathan Borwein, Peter Borwein
    Pages 7-14
  4. G. M. Phillips
    Pages 15-19
  5. Lam Lay-Yong, Ang Tian-Se
    Pages 20-35
  6. K. Balagangadharan
    Pages 45-50
  7. Lennart Berggren, Jonathan Borwein, Peter Borwein
    Pages 51-52
  8. Lennart Berggren, Jonathan Borwein, Peter Borwein
    Pages 53-67
  9. Lennart Berggren, Jonathan Borwein, Peter Borwein
    Pages 68-77
  10. Lennart Berggren, Jonathan Borwein, Peter Borwein
    Pages 78-80
  11. Lennart Berggren, Jonathan Borwein, Peter Borwein
    Pages 81-86
  12. Lennart Berggren, Jonathan Borwein, Peter Borwein
    Pages 87-91
  13. William Jones
    Pages 108-109
  14. Lennart Berggren, Jonathan Borwein, Peter Borwein
    Pages 110-111
  15. Lennart Berggren, Jonathan Borwein, Peter Borwein
    Pages 112-128
  16. Lennart Berggren, Jonathan Borwein, Peter Borwein
    Pages 141-146

About this book

Introduction

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

Keywords

analysis applied mathematics arithmetic calculus history mathematics number theory numerical analysis real function

Authors and affiliations

  • Lennart Berggren
    • 1
  • Jonathan Borwein
    • 2
  • Peter Borwein
    • 1
  1. 1.Department of MathematicsSimon Fraser UniversityBurnabyCanada
  2. 2.Faculty of Computer ScienceDalhousie UniversityHalifaxCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-4217-6
  • Copyright Information Springer-Verlag New York 2004
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-1915-1
  • Online ISBN 978-1-4757-4217-6
  • About this book