Riemann Integrability


In this chapter we illustrate the definition of the definite integral of a realvalued function defined on a compact interval. We take a closer look at what kind of functions can be integrated and we develop a qualitative analysis of integrable functions, in a more precise way than is typical for calculus courses. The integral to be defined and studied here is now widely known as the Riemann integral.


Continuous Function Periodic Solution Integrable Function Differentiable Function Qualitative Result 
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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

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