书目名称 | Pi: The Next Generation | 副标题 | A Sourcebook on the | 编辑 | David H. Bailey,Jonathan M. Borwein | 视频video | | 概述 | Presents amazing techniques for computing digits of pi as well as high-tech techniques for analyzing pi.Brief synopses precede each contribution containing a summary of its content and a short key wor | 图书封面 |  | 描述 | .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”). .This 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 “quadratic | 出版日期 | Book 2016 | 关键词 | Catalan‘s constant; Euler numbers; approximations to pi; arithmetic-geometric mean Gauss; asymptotic exp | 版次 | 1 | doi | https://doi.org/10.1007/978-3-319-32377-0 | isbn_softcover | 978-3-319-81270-0 | isbn_ebook | 978-3-319-32377-0 | copyright | Springer International Publishing Switzerland 2016 |
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