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CHAPTER 12 - Decimal Fractions and Continud Fractions
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12.1 Decimal Fractions

Page 459

You can find an excellent exposition written by Helmut Richter concerning the period length of decimal fractions at
http://www.lrz-muenchen.de/~hr/numb/period.html (The period length of the decimal expansion of a fraction)

 

 

 

12.2 Finite Continued Fractions

Page 469

 

An introduction to continued fractions can be found at http://archives.math.utk.edu/articles/atuyl/confrac/index.html (Continued Fractions .. An Introduction)

You can learn more about continued fractions at the site
http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/cflINTRO.html (Continued Fractions: An Introduction)

 

Page 471

 

You can find the fraction represented by a finite continued fraction using the tool at http://www.numbertheory.org/php/convergents.html

 

 

 

12.3 Infinite Continued Fractions

Page 479

The best rational approximations of real numbers are discussed at
http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/cfINTRO.html#convergents

 

 

12.4 Periodic Continued Fractions

Page 490

You can use the applet at http://archives.math.utk.edu/articles/atuyl/confrac/qi2cf.html (Quadratic Irrationals to Continued Fractions) to find the continued fraction of quadratic irrationals.

 

You can use the tool at http://www.numbertheory.org/php/surd.html  (Calculating the simple continued fraction of a quadratic irrational)

to find the continued fraction of a quadratic irrational.

Continued fractions for square-roots are discussed at
http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/cfINTRO.html#sqrtcf

 

 

12.5 Factoring Using Continued Fractions

 
Page 505

An implementation of factoring using continued fractions can be found at http://www.mindspring.com/~pate/riesel/chap06.html