For my tutorial on continued fraction , I listed here resources based external links regarding continued fraction.
Software
Keith Matthews explains continued fraction using BCMATH
Knott provides Continued Fraction Converter and Calculator
Kardi Teknomo's continued fraction tutorial using MS Excel and VB
Books & References:
Lange, K. (1998) Numerical Analysis for Statisticians, Springer-Verlag , New York .
Philips, G. M. (2000) Two Millenia of Mathematics: from Archimedes to Gauss, Springer-Verlag, New York ( It's a very interesting book for those of you who love mathematics)
Bronshtein, I.N., Semendyayev, K.A. Musiol, G. and Muehlig, H. (2003) Handbook of Mathematics, 4 th ed., Springer, Berlin.
Lorentzen, L. and Waadeland, H. (1992) Continued Fractions with Applications, North Holland , Amsterdam.
Check google for books on Continued Fraction
Tutorials
McKeagues provides YouTube video of continued fraction
Knott's tutorial on Continued fraction for square root
Dr. David P. Stern tutorial on continued fraction
Mark Herkommer puts excerp of his book regarding continued fraction as part of number theory
Adam Van Tuyl provides nice historical background of continued fraction
Scientific Papers
Lakhtakia, A et al (1988) Incommensurate Numbers, Continued Fractions and Fractal Immittances
Shallit, J.O. (1991) Some Facts About Continued Fractions That Should Be Better Known
Shallit, J.O. (1991) Description of Generalized Continued Fractions by Finite Automata
Robert, C. at al (1999) Continued Fractions Hierarchy of Rotation Numbers in Planar Dynamics , Physical Review Letters 83 (18)
Garrity, T. (1999) On periodic sequences for algebraic numbers
Collins, D. C (1999) Continued Fractions , MIT Undergraduate Journal of Mathematics
Gliga, A.I. (2006), On continued fractions of the square root of prime numbers
This tutorial is copyrighted .
Preferable reference for this tutorial is
Teknomo, Kardi (2015) Continued Fraction. http://people.revoledu.com/kardi/tutorial/ContinuedFraction/index.html