You are here

Surprisingly Accurate Rational Approximations

by Tom M. Apostol (California Institute of Technology) and Mamikon A. Mnatsakanian (California Institute of Technology)

This article originally appeared in:
Mathematics Magazine
October, 2002

Subject classification(s): Algebra and Number Theory | Number Theory | Analysis | Numerical Analysis
Applicable Course(s): 4.17 Numerical Analysis

This article presents rational approximations of \(\pi\) and, in fact, any real number using continued fractions using the fact that the real number can expressed as the sum of its floor and fractional part, whose reciprocal can be expressed as the sum of its floor and fractional part, etc.


A pdf copy of the article can be viewed by clicking below. Since the copy is a faithful reproduction of the actual journal pages, the article may not begin at the top of the first page.

To open this file please click here.

These pdf files are furnished by JSTOR.

Classroom Capsules would not be possible without the contribution of JSTOR.

JSTOR provides online access to pdf copies of 512 journals, including all three print journals of the Mathematical Association of America: The American Mathematical Monthly, College Mathematics Journal, and Mathematics Magazine. We are grateful for JSTOR's cooperation in providing the pdf pages that we are using for Classroom Capsules.

3
Average: 3 (173 votes)

Dummy View - NOT TO BE DELETED