Continued Fractions in Hard Copy

1. Beskin, N.M., Fascinating Fractions. Mir Publishers: Moscow, 1980. (Translated by V.I. Kisln, 1986)

2. Brezinski, Claude, History of Continued Fractions and Pade Approximants. Springer-Verlag: New York, 1980.

3. Euler, Leonard, Introduction to Analysis of the Infinite, Book I. Translated by John D. Blanton. Springer-Verlag: New York, 1980.

4. Kline, Morris, Mathematical Thought from Ancient to Modern Times. Oxford University Press: New York, 1972.

5. Moore, Charles D., An Introduction to Continued Fractions. The National Council of Teachers of Mathematics: Washington, D.C., 1964.

6. Olds, C.D., Continued Fractions. Random House: New York, 1963.

7. Pettofrezzo, Anthony J., Bykrit, Donald R., Elements of Number Theory. Prentice-Hall Inc.: Englewood Cliffs, NJ, 1970.

8. Rosen, Kenneth H., Elementary Number Theory and its Applications. Addison-Wesley Publishing Company: New York, 1980.

9. Wall, H.S., Analytic Theory of Continued Fractions. Chelsea Publishing Company: Bronx, NY, 1948.

Continued Fractions on the Web

• http://www.cecm.sfu.ca/publications/organic/confrac/confrac.html
  A recent paper by Rob Corless on the connection between continued fractions and chaos theory.
• http://www.inwap.com/pdp10/hbaker/hakmem/cf.html
  Some proofs that are about continued fractions. Also includes the definition on how to add, subtract, multiply and divide continued fractions
• http://pauillac.inria.fr/algo/bsolve/constant/cntfrc/cntfrc.html
  A site that talks about continued fraction constants.
  Try the following:
  • http://pauillac.inria.fr/algo/bsolve/constant/e/cntfrc.html
    Continued fractions involving e
  • http://pauillac.inria.fr/algo/bsolve/constant/pi/frc.html
    Continued fractions involving Pi
  • http://pauillac.inria.fr/algo/bsolve/constant/gold/gold.html
    Continued fractions involving the Golden Mean
  • http://pauillac.inria.fr/algo/bsolve/constant/apery/cntfrc.html
    Continued fractions involving Zeta (3)
  • http://pauillac.inria.fr/algo/bsolve/constant/catalan/cntfrc.html
    Continued fractions involving Catalan's Constant
  • http://pauillac.inria.fr/algo/bsolve/constant/khntchn/khntchn.html
    Khintchine's Constant defined in terms of a continued fraction
  • http://pauillac.inria.fr/algo/bsolve/constant/kuzmin/kuzmin.html
    The Gauss-Kuzmin-Wirsing Constant defined in terms of a continued fraction
  • http://pauillac.inria.fr/algo/bsolve/constant/lehmer/lehmer.html
    Lehmer's Constant defined in terms of a continued fractions
• HotBot
  This is a list of all the websites (according to HotBot) that contain a reference to continued fractions.

Other Interesting Sites Dealing with Numbers

• http://www.cecm.sfu.ca/projects/ISC/
  The Inverse Symbolic Calculator that I helped create during the summer of 1995
• http://pauillac.inria.fr/algo/bsolve/constant/constant.html
  A site dedicated to mathematical constants.

Resources

The following is a list of resources that I used to create this web site.

• Leslie Lamport, LATEX: A Document Preperation System. Addison-Wesley Publishing Company: Reading, Massachusetts, 1986.
• http://www-cgi.cs.cmu.edu/cgi-bin/perl-man
  The man pages for the PERL language
• http://www.flash.net/~drj2142/rgb.html
  A list of the RGB Hex codes for colors
• http://werbach.com/barebones/
  The Bare Bones Guide to HTML
• The Latex2html utility program.
  Converts Latex documents into HTML Documents. Used to create the formulas.