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Pi - Unleashed

  • Book
  • © 2001

Overview

Authors:
  1. Jörg Arndt

    1. Bayreuth, Germany

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    You can also search for this author in PubMed   Google Scholar

  2. Christoph Haenel

    1. Eichenau, Germany

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    You can also search for this author in PubMed   Google Scholar

  • New and sensational discoveries in Pi computation
  • Everything the reader always wanted to know about Pi
  • With many links to the Internet
  • Instructions for efficiently testing hardware with programs for Pi computation
  • Includes supplementary material: sn.pub/extras

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Table of contents (18 chapters)

  1. Front Matter

    Pages I-XII
    Download chapter PDF

  2. The State of Pi Art

    • Jörg Arndt, Christoph Haenel
    Pages 1-20

  3. How Random is π?

    • Jörg Arndt, Christoph Haenel
    Pages 21-34

  4. Shortcuts to π

    • Jörg Arndt, Christoph Haenel
    Pages 35-50

  5. Approximations for π and Continued Fractions

    • Jörg Arndt, Christoph Haenel
    Pages 51-68

  6. Arcus Tangens

    • Jörg Arndt, Christoph Haenel
    Pages 69-76

  7. Spigot Algorithms

    • Jörg Arndt, Christoph Haenel
    Pages 77-85

  8. Gauss and π

    • Jörg Arndt, Christoph Haenel
    Pages 87-102

  9. Ramanujan and π

    • Jörg Arndt, Christoph Haenel
    Pages 103-111

  10. The Borweins and π

    • Jörg Arndt, Christoph Haenel
    Pages 113-116

  11. The BBP Algorithm

    • Jörg Arndt, Christoph Haenel
    Pages 117-129

  12. Arithmetic

    • Jörg Arndt, Christoph Haenel
    Pages 131-152

  13. Miscellaneous

    • Jörg Arndt, Christoph Haenel
    Pages 153-164

  14. The History of π

    • Jörg Arndt, Christoph Haenel
    Pages 165-207

  15. Historical Notes

    • Jörg Arndt, Christoph Haenel
    Pages 209-214

  16. The Future: π Calculations on the Internet

    • Jörg Arndt, Christoph Haenel
    Pages 215-221

  17. π Formula Collection

    • Jörg Arndt, Christoph Haenel
    Pages 223-238

  18. Tables

    • Jörg Arndt, Christoph Haenel
    Pages 239-245

  19. Documentation for the hfloat Library

    • Jörg Arndt, Christoph Haenel
    Pages 247-255

  20. Back Matter

    Pages 257-270
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Reviews

From the reviews:

SIGACT NEWS

"The book is sprinkled with many gems … . The book is a treasure of information and is fun to read … . I loved this book. In fact, I’ve pretty much run out of superlatives … . I would recommend it to anyone who is just curious about pi, or about large-precision arithmetic in general, as well as to the professional who is looking to break the next N-digit barrier. Who knows, perhaps a reader will be inspired to invent a faster yet method for such algorithms."

Authors and Affiliations

  • Bayreuth, Germany

    Jörg Arndt

  • Eichenau, Germany

    Christoph Haenel

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