William Shanks

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William Shanks

Born January 25, 1812(1812-01-25)
Corsenside, County Durham, England
Died 1882, aged 70
Houghton-le-Spring, County Durham, England
Fields Amateur calculator, school owner

William Shanks (January 25, 1812 – summer 1882, Houghton-le-Spring, Durham, England [1]) was a British amateur mathematician.

Shanks is famous for his calculation of π to 707 places, accomplished in the year 1873, which, however, was only correct up to the first 527 places. This error was highlighted in 1944 by Ferguson (using a mechanical desk calculator).

Shanks earned his living by owning a boarding school at Houghton-le-Spring, which left him enough time to spend on his hobby of calculating mathematical constants. His routine was as follows: he would calculate new digits all morning; and then he would spend all afternoon checking his morning's work. To calculate π, Shanks used Machin's formula:

 \frac{\pi}{4} = 4 \arctan \left(\frac{1}{5} \right) - \arctan \left(\frac{1}{239} \right)

Shank's approximation was the longest expansion of π until the advent of the electronic digital computer about one century later.

Shanks also calculated e and the Euler-Mascheroni constant γ to many decimal places. He published a table of primes up to 60 000 and found the natural logarithms of 2, 3, 5 and 10 to 137 places.

Shanks died in Houghton-le-Spring in summer 1882, aged 70, and is buried in the local Hillside Cemetery. [2]

[edit] See also

[edit] References

  1. ^ GRO Register of Deaths: JUN 1882 10a 252 HOUGHTON - William Shanks, aged 70
  2. ^ Houghton le Spring Hillside Cemetery

[edit] External links

Persondata
NAME Shanks, William
ALTERNATIVE NAMES
SHORT DESCRIPTION Amateur calculator, school owner
DATE OF BIRTH 1812-01-25
PLACE OF BIRTH Corsenside, County Durham, England
DATE OF DEATH 1882
PLACE OF DEATH Houghton-le-Spring, County Durham, England
Languages