Moore C.G. An introduction to continued fractions

103 p. - National Council of Teachers of Mathematics - 1964.
Provided is an introduction to the properties of continued fractions for intellectually curious high school student. Also included are proofs that show new relationships between bits of familiar mathematics, exercises that demonstrate the properties under investigations, answers to exercises in the appendix, and historical notes on the men who first worked with continued fractions.Foreword.
Expansion of rational numbers into simple continued fractions.
Convergents.
Continued fractions and linear Diophantine equations of the type am + bn = c.
Continued fractions and congruents.
Continued fractions and determinants.
Some practical applications of continued fractions.
Continued fractions and quadratic irrational numbers.
Continued fractions and Pell's equation.
Initially repeating continued fractions and quadratic equations.
Initially repeating continued fractions and reduced quadratic irrationals.
Other interesting facts about continued fractions.
Appendix A - Proofs of selected theorems.
Appendix B - Answers to exercises.
Appendix C - Bibliography.