**ERIC Number:**ED035543

**Record Type:**RIE

**Publication Date:**1964

**Pages:**102

**Abstractor:**N/A

**Reference Count:**0

**ISBN:**N/A

**ISSN:**N/A

An Introduction to Continued Fractions.

Moore, Charles G.

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)

Descriptors: Fractions, History, Instructional Materials, Mathematical Concepts, Mathematics, Number Concepts, Problem Solving, Secondary School Mathematics

National Council of Teachers of Mathematics, 1201 Sixteenth Street, N.W., Washington, D.C. 20036

**Publication Type:**N/A

**Education Level:**N/A

**Audience:**N/A

**Language:**N/A

**Sponsor:**N/A

**Authoring Institution:**National Council of Teachers of Mathematics, Inc., Reston, VA.

**Identifiers:**N/A