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The aftermath of the intermediate value theorem


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.

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Correspondence to Raul Fierro.

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Fierro, R., Martinez, C. & Morales, C.H. The aftermath of the intermediate value theorem. Fixed Point Theory Appl 2004, 516570 (2004).

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