Open Access

The aftermath of the intermediate value theorem

Fixed Point Theory and Applications20042004:516570

Received: 28 October 2003

Published: 26 August 2004


The solvability of nonlinear equations has awakened great interest among mathematicians for a number of centuries, perhaps as early as the Babylonian culture (3000-300 B.C.E.). However, we intend to bring to our attention that some of the problems studied nowadays appear to be amazingly related to the time of Bolzano's era (1781-1848). Indeed, this Czech mathematician or perhaps philosopher has rigorously proven what is known today as the intermediate value theorem, a result that is intimately related to various classical theorems that will be discussed throughout this work.

Authors’ Affiliations

Departmento de Matemáticas, Pontificia Universidad Católica de Valparaiso
Department of Mathematics, University of Alabama in Huntsville


© Fierro et al. 2004