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how Pi is calculated

Bailey and Borwein hold that these two papers constitute the beginning of the modern era of computational mathematics. 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. Ramanujan, modular equations, and approximations to pi or how to compute one billion digits of pi.

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

Actueel Opinie Interviews Recensies Videos. Beoordeel zelf slecht matig voldoende goed zeer goed. Paperback Engels. Auteurs Over dit boek Artikelen en interviews Recensies. Samenvatting Rubriek: Wetenschap en techniek. Inhoudsopgave Foreword.

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Produkt empfehlen. This book contains a compendium of 25 papers published since the s 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 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.

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The volume includes articles on actual computations of pi, articles on mathematical questions related to pi e. This volume is a companion to Pi: A Source Book whose third edition released in The present collection begins with 2 papers from , 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 s 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 ,,, 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.

Ramanujan, modular equations, and approximations to pi or how to compute one billion digits of pi.