William Rutherford (mathematician)

William Rutherford (mathematician)

William Rutherford (1798–1871) was an English mathematician. He is best known for his calculation of 208 digits of the mathematical constant π in 1841. Only the first 152 digits were later found to be correct. However, that still broke the world record of the time which was held by the Slovenian mathematician Jurij Vega since 1789 (126 first digits were correct) [ [http://www.math.auckland.ac.nz/class190/lectures/pi_history.pdf "Use of the symbol π"] - Department of Mathematics, University of Auckland] As of 2002 the current world record is held by the Japanese mathematician Yasumasa Kanada who calculated the first 1.2411 trillion digits correctly.

Rutherford used the following formula: [ [http://www-math.cudenver.edu/~wcherowi/courses/history2/quad2.pdf "Squaring the Circle"] - Department of Mathematical Sciences University of Colorado at Denver]

: {piover 4} = 4 arctan left({1over 5} ight) - arctan left({1over 70} ight) + arctan left({1over 99} ight)

ee also

* History of π
* History of numerical approximations of π
* Yasumasa Kanada

References and notes


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