No π for you!

Neil J. Calkin; Eliza Gallagher

doi:10.2478/rmm-2024-0011

Abstract

In which we serve up several helpings of not- π.

References

[AKLoA03] G.L. Alexanderson, L.F. Klosinski, L.C. Larson, and Mathematical Association of America. The William Lowell Putnam Mathematical Competition: Problems and Solutions 1965-1984. MAA Problem Book Series. Mathematical Association of America, 2003.
Search in Google Scholar Back to article
[Bae18] John Baez. Patterns that eventually fail. https://johncarlosbaez.wordpress.com/2018/09/20/patterns-that-eventually-fail/, 2018. [Accessed: 2022-06-17].
Search in Google Scholar Back to article
[BB92] J. M. Borwein and P. B. Borwein. Strange series and high precision fraud. Amer. Math. Monthly, 99(7):622–640, 1992.
Search in Google Scholar Back to article
[BB01] David Borwein and Jonathan M. Borwein. Some remarkable properties of sinc and related integrals. Ramanujan J., 5(1):73–89, 2001.
Search in Google Scholar Back to article
[BBB97] Lennart Berggren, Jonathan Borwein, and Peter Borwein, editors. Pi: a source book. Springer-Verlag, New York, 1997.
Search in Google Scholar Back to article
[BBD89] J. M. Borwein, P. B. Borwein, and K. Dilcher. Pi, Euler numbers, and asymptotic expansions. Amer. Math. Monthly, 96(8):681–687, 1989.
Search in Google Scholar Back to article
[BBG04] Jonathan Borwein, David Bailey, and Roland Girgensohn. Experimentation in mathematics. A K Peters, Ltd., Natick, MA, 2004. Computational paths to discovery.
Search in Google Scholar Back to article
[BCM09] Jonathan M. Borwein, Neil J. Calkin, and Dante Manna. Euler-Boole summation revisited. Amer. Math. Monthly, 116(5):387–412, 2009.
Search in Google Scholar Back to article
[BD09] Jonathan Borwein and Keith Devlin. The computer as crucible. A K Peters, Ltd., Wellesley, MA, 2009. An introduction to experimental mathematics.
Search in Google Scholar Back to article
[Luc05] Stephen K. Lucas. Integral proofs that 355/113 > π. Austral. Math. Soc. Gaz., 32(4):263–266, 2005.
Search in Google Scholar Back to article
[Odl95] A. M. Odlyzko. Asymptotic enumeration methods. In Handbook of combinatorics, Vol. 1, 2, pages 1063–1229. Elsevier Sci. B. V., Amsterdam, 1995.
Search in Google Scholar Back to article
[Sch14] Hanspeter Schmid. Two curious integrals and a graphic proof. Elem. Math., 69(1):11–17, 2014.
Search in Google Scholar Back to article
[Sta97] State of Indiana 1897 Legislative Session. Engrossed House Bill No. 246. http://www.agecon.purdue.edu/crd/Localgov/Second%20Level%20pages/indiana_pi_bill.htm, 1897. Online text of the bill, [Accessed: 2022-06-17].
Search in Google Scholar Back to article

No π for you!

Abstract

Paradigm

My account