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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. George M. Phillips
    Pages 15-19
  5. Lam Lay-Yong, Ang Tian-Se
    Pages 20-35
  6. K. Balagangadharan
    Pages 45-50
  7. W. Hope-Jones
    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. Christiani Hugenii
    Pages 81-86
  12. William Jones
    Pages 108-109
  13. Lennart Berggren, Jonathan Borwein, Peter Borwein
    Pages 110-111
  14. Lennart Berggren, Jonathan Borwein, Peter Borwein
    Pages 112-128
  15. Lennart Berggren, Jonathan Borwein, Peter Borwein
    Pages 141-146
  16. Lennart Berggren, Jonathan Borwein, Peter Borwein
    Pages 162-193
  17. F. Lindemann
    Pages 194-206
  18. David Hilbert
    Pages 226-229
  19. Edward J. Goodwin
    Pages 230-230
  20. David Singmaster
    Pages 236-239
  21. Lennart Berggren, Jonathan Borwein, Peter Borwein
    Pages 240-240
  22. Lennart Berggren, Jonathan Borwein, Peter Borwein
    Pages 241-257
  23. Ivan Niven
    Pages 276-276
  24. Herman C. Schepler
    Pages 282-305
  25. K. Mahler
    Pages 306-318
  26. Daniel Shanks, John W. Wrench Jr.
    Pages 326-349
  27. Dura W. Sweeney
    Pages 350-358
  28. William W. Adams
    Pages 368-371
  29. John Todd
    Pages 412-417
  30. Alfred van der Poorten
    Pages 439-447

About this book

Introduction

The aim of this book is to provide a complete history of pi from the dawn of mathematical time to the present. The story of pi reflects the most seminal, the most serious and sometimes the silliest aspects of mathematics, and a suprising amount of the most important mathematics and mathematicians have contributed to its unfolding. 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. One of the beauties of the literature on pi is that it allows for the inclusion of very modern, yet still accessible, mathematics. Mathematicians and historians of mathematics will find this book indespensable. Teachers at every level from the seventh grade onward will find here ample resources for anything from special topic courses to individual talks and special student projects. The literature on pi included in this source book falls into three classes: first a selection of the mathematical literature of four millennia, second a variety of historial 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.

Keywords

Finite Mathematica Microsoft Access arithmetic boundary element method calculus cognition computation history of mathematics interpolation logarithm mathematics selection story time

Authors and affiliations

  • Lennart Berggren
    • 1
  • Jonathan Borwein
    • 1
  • Peter Borwein
    • 1
  1. 1.Department of Mathematics and StatisticsSimon Fraser UniversityBurnabyCanada

Bibliographic information