You are here

Density of the Images of Integers under Continuous Functions

by Sining Zheng (Dalian University of Technology, China) and Jiangchen Cheng (Dalian University of Technology, China)

This article originally appeared in:
Mathematics Magazine
December, 1999

Subject classification(s): Analysis | Real Analysis | Convergence
Applicable Course(s): 4.11 Advanced Calc I, II, & Real Analysis

The authors show that for every continuous function with irrational period, the set of images of integers is dense in the range.

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.

Average: 3.1 (55 votes)