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American mathematician who worked primarily in numerical analysis and number theory.
Best known as the first to compute $\pi$ to $100 \, 000$ decimal places.
Unrelated to William Shanks, who also calculated $\pi$ to a large number of places.
- Born: January 17, 1917 in Chicago, Illinois
- Died: September 6, 1996 in Maryland
Theorems and Definitions
- Newman-Shanks-Williams Prime (with Morris Newman and Hugh Cowie Williams)
- Shanks Transformation
- Shanks' Square Forms Factorization
- Tonelli-Shanks Algorithm (with Alberto Tonelli)
- 1959: Khintchine's Constant (Amer. Math. Monthly Vol. 66, no. 5: pp. 276 – 279) (with John W. Wrench, Jr.) www.jstor.org/stable/2309633
- 1962: Calculation of $\pi$ to 100,000 Decimals (Math. Comp. Vol. 16: pp. 76 – 99) (with John W. Wrench, Jr.) www.jstor.org/stable/2003813
- 1974: Brun's Constant (Math. Comp. Vol. 28: pp. 293 – 299) (with John W. Wrench, Jr.) www.jstor.org/stable/2005836
- My tardiness in learning of these historical references [to Alberto Tonelli's work on factorization] was because I had lent Volume 1 of Dickson's History to a friend and it was never returned.
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $10$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $10$