Pi — Unleashed

@inproceedings{Arndt2001PiU,
  title={Pi — Unleashed},
  author={J{\"o}rg Arndt and Christophe Haenel},
  booktitle={Springer Berlin Heidelberg},
  year={2001}
}

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References

SHOWING 1-10 OF 17 REFERENCES

The quest for PI

This article gives a brief history of the analysis and computation of the mathematical constant $\pi = 3.14159 \ldots$, including a number of the formulas that have been used to compute $\pi$ through

79.36 Pancake functions and approximations to π

to illustrate numerical integration techniques, for example see the recent article [1], the identity (1) gives us the best loved approximation to n, with an error estimate, without the need to do any

Ramanujan—100 years old (fashioned) or 100 years new (fangled)?

Everyone enjoys celebrating birthdays. Admittedly, as we get older, perhaps we enjoy celebrating others' birthdays more than our own. We also rejoice in commemorating the birthdays of many that have

Ramanujan’s Notebooks: Part V

The Best (?) Formula for Computing π to a Thousand Places

In the December 1938 issue of this Monthly, D. H. Lehmer gave a very comprehensive list of formulas for computing π. He rightly chose formulas (23) and (32) as the best self checking pair, with (18)

A simple formula for pi

Mathematical Recreations and Essays

THIS edition differs from the third by containing chapters on the history of the mathematical tripos at Cambridge, Mersenne's numbers, and cryptography and ciphers, besides descriptions of some

Decrypted secrets - methods and maxims of cryptology

This 3rd edition of "Decrypted Secrets" has become a standard book on cryptology and has again been revised and extended in many technical and biographical details.

On the Khintchine constant

It is shown that each of these constants can be cast in terms of an efficient free-parameter series, each series involving values of the Riemann zeta function, rationals, and logarithms of rationals.

Ramanujan--for lowbrows

"No, Inspector," he said. "It is not at all like that, I am assuring you. You see, for a person of my sort-and I admit that we are a rare breed-numbers are so much in our minds there is hardly any