You are here

An Intuitive Proof of Brouwer's Fixed Point Theorem in \(\Re^2\)

by Clarence C. Morrison (Indiana University) and Martin Stynes (Waterford Regional Technical College Ireland)

This article originally appeared in:
Mathematics Magazine
January, 1983

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

The authors demonstrate that the intuitive graphical proof of the Brouwer Fixed Point Theorem for single variable functions can be generalized to functions of two variables.

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 (17 votes)