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  • © 1997

Pi: A Source Book

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  • ISBN: 978-1-4757-2736-4
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Table of contents (70 chapters)

  1. Front Matter

    Pages i-xix
  2. The Rhind Mathematical Papyrus-Problem 50 (~ 1650 B.C.)

    • Lennart Berggren, Jonathan Borwein, Peter Borwein
    Pages 1-2
  3. Measurement of a Circle

    • Lennart Berggren, Jonathan Borwein, Peter Borwein
    Pages 7-14
  4. Archimedes the Numerical Analyst

    • George M. Phillips
    Pages 15-19
  5. Circle Measurements in Ancient China

    • Lam Lay-Yong, Ang Tian-Se
    Pages 20-35
  6. The Power Series of Arctan and Pi (~1400)

    • K. Balagangadharan
    Pages 45-50
  7. Ludolph (or Ludolff or Lucius) van Ceulen

    • W. Hope-Jones
    Pages 51-52
  8. Variorum de Rebus Mathematicis Reponsorum Liber VII (1593)

    • Lennart Berggren, Jonathan Borwein, Peter Borwein
    Pages 53-67
  9. Computation of π by Successive Interpolations

    • Lennart Berggren, Jonathan Borwein, Peter Borwein
    Pages 68-77
  10. Arithmetica Infinitorum (1655)

    • Lennart Berggren, Jonathan Borwein, Peter Borwein
    Pages 78-80
  11. De Circuli Magnitudine Inventa

    • Christiani Hugenii
    Pages 81-86
  12. The First Use of π for the Circle Ratio

    • William Jones
    Pages 108-109
  13. Of the Method of Fluxions and Infinite Series (1737)

    • Lennart Berggren, Jonathan Borwein, Peter Borwein
    Pages 110-111
  14. On the Use of the Discovered Factors to Sum Infinite Series

    • Lennart Berggren, Jonathan Borwein, Peter Borwein
    Pages 112-128
  15. Lambert. Irrationality of π

    • Lennart Berggren, Jonathan Borwein, Peter Borwein
    Pages 141-146

About this book

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
  • combinatorics

Authors and Affiliations

  • Department of Mathematics and Statistics, Simon Fraser University, Burnaby, Canada

    Lennart Berggren, Jonathan Borwein, Peter Borwein

Bibliographic Information

  • Book Title: Pi: A Source Book

  • Authors: Lennart Berggren, Jonathan Borwein, Peter Borwein

  • DOI: https://doi.org/10.1007/978-1-4757-2736-4

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1997

  • eBook ISBN: 978-1-4757-2736-4

  • Edition Number: 1

  • Number of Pages: XIX, 716

  • Number of Illustrations: 38 b/w illustrations

  • Topics: Discrete Mathematics

Buying options

eBook USD 74.99
Price excludes VAT (USA)
  • ISBN: 978-1-4757-2736-4
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout