The Mathematical Intelligencer

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

Cool irrational numbers and their rather cool rational approximations



Rational Number Mathematical Intelligencer Decimal Digit Positive Inte Decimal Expansion 


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  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

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