Advertisement

Continuity

  • Teodora-Liliana T. Rădulescu
  • Vicenţiu D. Rădulescu
  • Titu Andreescu
Chapter

A crucial use of the idea of limit is to separate out a class of functions to study: exactly those whose value at a point coincideswith the limit at that point. This is the class of continuous functions, and it contains many familiar and useful functions. In this chapter, we are interested in the special case of real-valued continuous functions on an interval in R. The concepts we develop here will be reexamined and developed in later chapters.

Keywords

Positive Integer Continuous Function Functional Equation Closed Interval Open Interval 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag New York 2009

Authors and Affiliations

  1. 1.Department of MathematicsFratii Buzesti National CollegeCraiovaRomania
  2. 2.Simion Stoilow Mathematics InstituteRomanian AcademyBucharest Netherlands
  3. 3.School of Natural Sciences and MathematicsUniversity of Texas at DallasRichardsonUSA

Personalised recommendations