An Introduction to Continued Fractions.

Autor/in	Moore, Charles G.
Institution	National Council of Teachers of Mathematics, Inc., Reston, VA.
Titel	An Introduction to Continued Fractions.
Quelle	(1964), (102 Seiten) PDF als Volltext kostenfreie Datei Verfügbarkeit
Dokumenttyp	gedruckt; online; Monographie
Schlagwörter	Fractions; History; Instructional Materials; Mathematical Concepts; Mathematics; Number Concepts; Problem Solving; Secondary School Mathematics + Suchen Sie Ihr Suchwort? Bruchrechnung; Geschichte; Geschichtsdarstellung; Lehrmaterial; Lehrmittel; Unterrichtsmedien; Mathematik; Number concept; Zahlbegriff; Problemlösen
Abstract	Provided is an introduction to the properties of continued fractions for the intellectually curious high school student. Among the topics included are (1) Expansion of Rational Numbers into Simple Continued Fractions, (2) Convergents, (3) Continued Fractions and Linear Diophantine Equations of the Type am + bn = c, (4) Continued Fractions and Congruences, (5) Continued Fractions and Determinants, (6) Practical Applications of Continued Fractions, (7) Continued Fractions and Quadratic Irrational Numbers, (8) Continued Fractions and Pell's Equation, (9) Initially Repeating Continued Fractions and Quadratic Equations, and (10) Initially Repeating Continued Fractions and Reduced Quadratic Irrationals. 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. (RP)
Anmerkungen	National Council of Teachers of Mathematics, 1201 Sixteenth Street, N.W., Washington, D.C. 20036
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2004/1/01