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Pi - Unleashed (Paperback)

~ (Author), Christoph Haenel (Author), C. Lischka (Translator), D. Lischka (Translator) "In October 1999 Professor Yasumasa Kanada of the University of Tokyo announced on the Internet that he had set a new world record for the..." (more)
Key Phrases: Leonhard Euler, Liu Hui, Peter Borwein (more...)
4.5 out of 5 stars  See all reviews (4 customer reviews)
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Editorial Reviews

Review

From the reviews: SIGACT NEWS "The book is sprinkled with many gems…The book is a treasure of information and is fun to read…The CD-ROM is in ready-to-run format (you can start using it right out of the box). Its inclusion alone is worth much more than the price of the book…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."


Product Description

In the 4,000-year history of research into pi, results have never been as prolific as at present. This book describes, in easy-to-understand language, the latest and most fascinating findings of mathematicians and computer scientists in the field of pi. Attention is focused on new methods of high-speed computation. The accompanying CD-ROM contains the source code of all programs described, algorithms for pi computation, instructions for testing hardware with programs for pi computation, and complete high-precision libraries.

System requirements: HTML document in a standard CD-ROM file system (ISO 9660), platform-independent.

Product Details

  • Paperback: 276 pages
  • Publisher: Springer; 1 edition (January 25, 2001)
  • Language: English
  • ISBN-10: 3540665722
  • ISBN-13: 978-3540665724
  • Product Dimensions: 9.3 x 6.2 x 0.8 inches
  • Shipping Weight: 1.1 pounds (View shipping rates and policies)
  • Average Customer Review: 4.5 out of 5 stars  See all reviews (4 customer reviews)
  • Amazon.com Sales Rank: #690,014 in Books (See Bestsellers in Books)

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More About the Author

Jörg Arndt
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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First Sentence:
In October 1999 Professor Yasumasa Kanada of the University of Tokyo announced on the Internet that he had set a new world record for the calculation of ; namely, he had calculated it to 206,158,430,000 decimal places. Read the first page
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Leonhard Euler, Liu Hui, Peter Borwein, Yasumasa Kanada, John Machin, Simon Plouffe, Carl Friedrich Gauss, David Bailey, The State of Pi Art, Tsu Chhung-Chih, Isaac Newton, Johann Heinrich Lambert, John Wallis, Ludolph van Ceulen, Monte Carlo, Srinivasa Ramanujan, Zhang Heng, Colin Percival, Edmund Landau, Jakob Bernoulli, James Gregory, Liu Xin, Simon Fraser University, Wildebrod Snell
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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Customer Reviews

4 Reviews
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4.5 out of 5 stars (4 customer reviews)
 
 
 
 
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15 of 17 people found the following review helpful:
5.0 out of 5 stars Have your pi and eat it too, December 9, 2001
A must have for the pi gourmet. Ever since reading Beckman's "History of Pi" years ago, I have had a love for pi. Finding Blatner's "The Joy of Pi" only added to it. With "Pi-Unleashed", Arndt and Haenel help to sate the appetite for more pi left by the first two books. While Beckman weaves the tale of pi as only he can in his book, and Blatner does indeed bring joy to the pi lover in the way he pulls together so many aspects of pi, Arndt and Haenel help to satisfy the number junkie who likes to experience pi, not just read about it. This book was so good that after giving it a good sniffing, I just had to roll all over in it to get its scent all over me. The book covers the many roads to pi, from the oldest arctangent series and product series to the latest series used for calculating hundreds of billions of digits. For the algorithm junkie, it has 17 whole pages of nothing but pi formulas, followed by thousands of digits of pi in decimal and hexadecimal as well as continued fraction format. The mathematics is deeper than Beckman or Blatner, but nothing beyond college level. The CD that comes with the book contains 400 million digits of pi along with a whole slew of programs on pi or high precision numbers that I just had to dig into. I know I will be spending many weeks chewing on all the wonderful new bones offered in this book.
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10 of 12 people found the following review helpful:
4.0 out of 5 stars One of many recent pieces on pi, November 4, 2004
By Marvin J. Greenberg (Berkeley, CA USA) - See all my reviews
(REAL NAME)   
Why the flood of books on pi (do a search, you'll see)? And why calculate its decimal expansion to enormous numbers of places? Is number mysticism having a revival?

Certainly there are many fascinating theorems involving pi, which is one of the two most important transcendental numbers (the other being e) and which shows up unexpectedly in many different branches of mathematics. These books are well worth reading to learn those theorems, those lovely, unexpected formulas, and the interesting history.

If you are a trained mathematician, the best of these books by far is the recent one by Eymard and Lafon, but it is very difficult.

My complaint about all these books is that not one of them proves that pi exists! I mean pi is defined as the ratio of the circumference to the diameter of any circle; in order for that definition to make sense, one must prove that ratio to be constant. But that ratio is only constant in Euclidean geometry, not hyperbolic or elliptic geometries, so the proof depends on the Euclidean parallel postulate and is not at all obvious.

There is a proof in the book by Moise "Elementary Geometry from an Advanced Viewpoint."

This book is a good one, its main competition being the good one by Posamentier and Lehmann.
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4.0 out of 5 stars Good introduction to pi, February 9, 2009
By Reader Jun (Buffalo, NY, USA) - See all my reviews
This book, together with the accompanying CD, is directed towards the decimal expansion of the number pi. The authors' account of the history of the development of this topic is illuminating. They discuss the recent results of Kanada's and Borweins', and Ramanujan's. Their exhaustive list of mathematical formulas of pi is helpful. However, if the reader is mathematically oriented, be warned that very few proofs are provided for these formulas.
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5.0 out of 5 stars Indispensable for the Pursuits on Contemporary Pi Calculation
"PI Unleashed" of Jorg Arndt and Christoph Haenel's has seventeen chapters, one appendix, and one CDROM. The first chapter presents a brief history on pi calculation. Read more
Published 11 months ago by Man Kam Tam

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