History of the formulas and algorithms for pi
Abstract
Description
Throughout more than two millennia many formulas have been obtained, some of them beautiful, to calculate the number pi. Among them, we can find series, infinite products, expansions as continued fractions and expansions using radicals. Some expressions which are (amazingly) related to pi have been evaluated. In addition, a continual battle has been waged just to break the records computing digits of this number; records have been set using rapidly converging series, ultra fast algorithms and really surprising ones, calculating isolated digits. The development of powerful computers has played a fundamental role in these achievements of calculus.
Translated from the original Spanish by Luis Sanchez Lajusticia. Updated by the author. Some mistakes corrected
Translated from the original Spanish by Luis Sanchez Lajusticia. Updated by the author. Some mistakes corrected