# Mathematician:John William Wrench, Jr.

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## Mathematician

American mathematician working mainly in numerical analysis.

Pioneer of the use of computers for mathematical calculations

Best known now for his work with Daniel Shanks to calculate $\pi$ to $100 \, 000$ decimal places.

## Nationality

American

## History

- Born: October 13, 1911 in Westfield, New York
- Died: February 27, 2009 in Frederick, Maryland

## Publications

- 1952:
*A new calculation of Euler's constant*(*Mathematical Tables and Other Aids to Computation***Vol. 6**: p. 255) www.jstor.org/stable/2002275

- 1959:
*Khintchine's Constant*(*Amer. Math. Monthly***Vol. 66**,*no. 5*: pp. 276 – 279) (with Daniel Shanks) www.jstor.org/stable/2309633

- 1960:
*The evolution of extended decimal approximations to $\pi$*(*The Mathematics Teacher***Vol. 53**: pp. 644 – 650)

- 1962:
*Calculation of $\pi$ to $100,000$ Decimals*(*Mathematics of Computation***Vol. 16**,*no. 77*: pp. 76 – 99) (with Daniel Shanks) www.jstor.org/stable/2003813

- Oct. 1971:
*Partial Sums of the Harmonic Series*(*Amer. Math. Monthly***Vol. 78**,*no. 8*: pp. 864 – 870) (with R.P. Boas, Jr.) www.jstor.org/stable/2316476

- 1974:
*Brun's Constant*(*Math. Comp.***Vol. 28**: pp. 293 – 299) (with Daniel Shanks) www.jstor.org/stable/2005836

## Critical View

*In order to assure the preservation of this document, I arranged for two clear copies of the output to be printed and specially bound (inscribed in gold letters) -- one of which I donated to the Smithsonian Institution in Washington, D.C.; the other I kept. The transfer to the Smithsonian took place at a small ceremony, attended by about 25 invited guests.*