Birth, growth and computation of pi to ten trillion digits

Advances in Difference Equations

Syamal K Sen¹  Ravi P Agarwal²  Hans Agarwal⁴ 

[1] Bethlehem, USA;Department of Mathematics, Texas A&GVP-Prof. V. Lakshmikantham Institute for Advanced Studies, Visakhapatnam, India;M University-Kingsville, Kingsville, USA

关键词: circle;    error-free;    history of pi;    Matlab;    random sequence;    stability of a computer;    trillion digits;   

DOI  :  10.1186/1687-1847-2013-100

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The universal real constant pi, the ratio of the circumference of any circle and its diameter, has no exact numerical representation in a finite number of digits in any number/radix system. It has conjured up tremendous interest in mathematicians and non-mathematicians alike, who spent countless hours over millennia to explore its beauty and varied applications in science and engineering. The article attempts to record the pi exploration over centuries including its successive computation to ever increasing number of digits and its remarkable usages, the list of which is not yet closed.

【 授权许可】

CC BY