This ebook includes a compendium of 25 papers released because the Seventies facing pi and linked issues of arithmetic and computing device science. the gathering starts with a Foreword by way of Bruce Berndt. every one contribution is preceded by way of a quick precis of its content material in addition to a shorty key thesaurus indicating how the content material pertains to others within the assortment. the amount contains articles on genuine computations of pi, articles on mathematical questions with regards to pi (e.g., “Is pi normal?”), articles providing new and infrequently remarkable thoughts for computing digits of pi (e.g., the “BBP” set of rules for pi, which allows one to compute an arbitrary binary digit of pi with no need to compute any of the digits that got here before), papers providing vital primary mathematical effects in terms of pi, and papers providing new, high-tech suggestions for examining pi (i.e., new graphical ideas that allow one to visually see if pi and different numbers are “normal”).
This quantity is a better half to Pi: A resource Book whose 3rd version published in 2004. the current assortment starts with 2 papers from 1976, released by way of Eugene Salamin and Richard Brent, which describe “quadratically convergent” algorithms for pi and different uncomplicated mathematical services, derived from a few mathematical paintings of Gauss. Bailey and Borwein carry that those papers represent the start of the trendy period of computational mathematics. this period of time (1970s) additionally corresponds with the creation of high-performance computers (supercomputers), which given that that point have elevated relentlessly in energy, by way of nearly an element of 100,000,000, advancing approximately on the similar expense as Moore’s legislations of semiconductor expertise. This booklet will be of curiosity to a variety of mathematical readers; a few articles disguise extra complex study questions appropriate for lively researchers within the field, but numerous are hugely available to undergraduate arithmetic students.
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