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Pi: The Next Generation: A Sourcebook on the Recent History of Pi and Its
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Pi: The Next Generation: A Sourcebook on the Recent History of Pi and Its Computation Hardcover - 2016

by David H. Bailey; Jonathan M. Borwein


From the rear cover

This book contains a compendium of 25 papers published since the 1970s dealing with pi and associated topics of mathematics and computer science. The collection begins with a Foreword by Bruce Berndt. Each contribution is preceded by a brief summary of its content as well as a short key word list indicating how the content relates to others in the collection. The volume includes articles on actual computations of pi, articles on mathematical questions related to pi (e.g., "Is pi normal?"), articles presenting new and often amazing techniques for computing digits of pi (e.g., the "BBP" algorithm for pi, which permits one to compute an arbitrary binary digit of pi without needing to compute any of the digits that came before), papers presenting important fundamental mathematical results relating to pi, and papers presenting new, high-tech techniques for analyzing pi (i.e., new graphical techniques that permit one to visually see if pi and other numbers are "normal").

his volume="" is="" a="" companion="" to Pi: A Source Book whose third edition released in 2004. The present collection begins with 2 papers from 1976, published by Eugene Salamin and Richard Brent, which describe "quadratically convergent" algorithms for pi and other basic mathematical functions, derived from some mathematical work of Gauss. Bailey and Borwein hold that these two papers constitute the beginning of the modern era of computational mathematics. This time period (1970s) also corresponds with the introduction of high-performance computer systems (supercomputers), which since that time have increased relentlessly in power, by approximately a factor of 100,000,000, advancing roughly at the same rate as Moore's Law of semiconductor technology. This book may be of interest to a wide range of mathematical readers; some articles cover more advanced research questions suitable for active researchers in the field, but several are highly accessible to undergraduate mathematics students.

Details

  • Title Pi: The Next Generation: A Sourcebook on the Recent History of Pi and Its Computation
  • Author David H. Bailey; Jonathan M. Borwein
  • Binding Hardcover
  • Pages 507
  • Volumes 1
  • Language ENG
  • Publisher Springer
  • Date 2016-08-05
  • Illustrated Yes
  • Features Bibliography, Illustrated
  • ISBN 9783319323756 / 331932375X
  • Weight 2.46 lbs (1.12 kg)
  • Dimensions 10 x 7 x 1.13 in (25.40 x 17.78 x 2.87 cm)
  • Dewey Decimal Code 510.9

About the author

David H. Bailey currently has two affiliations for his professional research work. Dr. Bailey is Senior Scientist, Computational Research Department, Lawrence Berkeley National Laboratory from which he officially retired in June 2013 but continues as an active researcher. Since February 2013, Bailey is also a Research Fellow, Department of Computer Science, University of California, Davis.
Jonathan M. Borwein is currently Laureate Professor in the School of Mathematical and Physical Sciences at the University of Newcastle (NSW) with adjunct appointments at Dalhousie and at Simon Fraser. He received his Doctorate from Oxford in 1974, and has published extensively in optimization, analysis, and computational mathematics, and has received various prizes both for research and for exposition. He directs the University of Newcastle's Priority Research Centre in Computer Assisted Research Mathematics and its Applications (CARMA).
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Pi: The Next Generation

Pi: The Next Generation

by Jonathan M. Borwein

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Hardback. New. New Book; Fast Shipping from UK; Not signed; Not First Edition; This book contains a compendium of 25 papers published since the 1970s dealing with pi and associated topics of mathematics and computer science. The collection begins with a Foreword by Bruce Berndt. Each contribution is preceded by a
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Pi: The Next Generation: A Sourcebook on the Recent History of Pi and Its Computation

Pi: The Next Generation: A Sourcebook on the Recent History of Pi and Its Computation

by David H. Bailey

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Pi: The Next Generation: A Sourcebook on the Recent History of Pi and Its Computation
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Pi: The Next Generation: A Sourcebook on the Recent History of Pi and Its Computation

by Bailey, David H. (Author)/ Borwein, Jonathan M. (Author)

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ISBN 10 / ISBN 13
9783319323756 / 331932375X
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