Continuous Functions on an Interval

  • Sterling K. Berberian
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

Intervals are convex (4.1.4) and closed intervals are compact (4.5.4); these special properties of intervals are reflected in special properties of continuous functions defined on them. Applications include the construction of n’th roots, a characterization of injectivity (§6.4) and automatic continuity of inverse functions (§6.5).

Keywords

Posit 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • Sterling K. Berberian
    • 1
  1. 1.Department of MathematicsThe University of Texas at AustinAustinUSA

Personalised recommendations