This publication encompasses a compendium of 25 papers released because the Nineteen Seventies facing pi and linked themes of arithmetic and computing device science. the gathering starts with a Foreword by way of Bruce Berndt. each one contribution is preceded through a short precis of its content material in addition to a shorty key thesaurus indicating how the content material pertains to others within the assortment. the quantity comprises articles on genuine computations of pi, articles on mathematical questions with regards to pi (e.g., “Is pi normal?”), articles proposing new and infrequently outstanding options 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 featuring very important primary mathematical effects on the subject of pi, and papers offering new, high-tech recommendations for studying pi (i.e., new graphical options that let one to visually see if pi and different numbers are “normal”).
This quantity is a spouse to Pi: A resource Book whose 3rd version published in 2004. the current assortment starts with 2 papers from 1976, released through Eugene Salamin and Richard Brent, which describe “quadratically convergent” algorithms for pi and different easy mathematical services, derived from a few mathematical paintings of Gauss. Bailey and Borwein carry that those papers represent the start of the fashionable period of computational mathematics. this period of time (1970s) additionally corresponds with the creation of high-performance computers (supercomputers), which considering that point have elevated relentlessly in energy, by means of nearly an element of 100,000,000, advancing approximately on the related cost as Moore’s legislations of semiconductor know-how. This e-book should be of curiosity to a variety of mathematical readers; a few articles conceal extra complicated study questions compatible for energetic researchers within the field, but a number of are hugely obtainable to undergraduate arithmetic students.