The Mathematical Intelligencer

, Volume 25, Issue 4, pp 72–76 | Cite as

Cool irrational numbers and their rather cool rational approximations

  • Francesco Calogero


Rational Number Mathematical Intelligencer Decimal Digit Positive Inte Decimal Expansion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    D. G. Champernowne, “The construction of decimals normal in the scale of ten,” J. London Math. Soc.8 (1933), 254–260.CrossRefMathSciNetGoogle Scholar
  2. [2]
    N. J. A. Sloane,The On-Line Encyclopedia of Integer Sequences, Scholar
  3. [3]
    J. R. Silvester, “Decimal déjà vu,” Math. Gaz.83 (1999), 453–463.CrossRefGoogle Scholar
  4. [4]
    E. T. Whittaker and G. N. Watson,A Course of Modern Analysis, Cambridge University Press, 1962.Google Scholar
  5. [5]
    M. Abramowitz and I. A. Stegun,Handbook of Mathematical Functions, National Bureau of Standards, Applied Mathematics Series55, U. S. Government Printing Office, Washington, D. C., 1965.Google Scholar
  6. [6]
    Higher Transcendental Functions, edited by A. Erdélyi, vol. II, McGraw-Hill, 1953.Google Scholar
  7. [7]
    I. S. Gradshteyn and I. M. Ryzhik,Table of Integrals, Series, and Products (edited by A. Jeffrey), Academic Press, 1994.Google Scholar
  8. [8]
    Resource Library, Scholar
  9. [9]
    A. H. Copeland and P. Erdos, “Note on normal numbers,” Bull. Amer. Math. Soc.52 (1946), 857–860.CrossRefMATHMathSciNetGoogle Scholar
  10. [10] Scholar

Copyright information

© Springer-Verlag 2003

Authors and Affiliations

  1. 1.Department of PhysicsUniversity of Rome ‘La Sapienza’RomeItaly

Personalised recommendations