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. Lennart Berggren, Jonathan Borwein, Peter Borwein
    Pages 36-44
  7. Ludolph van Ceulen, Mathematical Gazette
    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 81-87
  12. Lennart Berggren, Jonathan Borwein, Peter Borwein
    Pages 87-91
  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

About this book

Introduction

Our intention in this collection is to provide, largely through original writings, an ex­ tended account 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 most whimsical aspects of mathematics. A surprising amount of the most important mathematics and a signifi­ cant number of the most important mathematicians have contributed to its unfolding­ directly or otherwise. Pi is one of the few mathematical concepts whose mention evokes a response of recog­ nition and interest in those not concerned professionally with the subject. It has been a part of human culture and the educated imagination for more than twenty-five hundred years. The computation of pi is virtually the only topic from the most ancient stratum of mathematics that is still of serious interest to modern mathematical research. To pursue this topic as it developed throughout the millennia is to follow a thread through the history of mathematics that winds through geometry, analysis and special functions, numerical analysis, algebra, and number theory. It offers a subject that provides mathe­ maticians with examples of many current mathematical techniques as weIl as a palpable sense of their historical development. Why a Source Book? Few books serve wider potential audiences than does a source book. To our knowledge, there is at present no easy access to the bulk of the material we have collected.

Keywords

Microsoft Access algebra arithmetic boundary element method calculus development function functions geometry history of mathematics interpolation knowledge logarithm number theory special function

Authors and affiliations

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

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-3240-5
  • Copyright Information Springer-Verlag New York 2000
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4757-3242-9
  • Online ISBN 978-1-4757-3240-5
  • About this book