• Kenneth A. Ross
Part of the Undergraduate Texts in Mathematics book series (UTM)


This chapter serves two purposes. It contains a careful development of the Riemann integral, which is the integral studied in standard calculus courses. It also contains an introduction to a generalization of the Riemann integral called the Riemann-Stieltjes integral. The generalization is easy and natural. Moreover, the Riemann-Stieltjes integral is an important tool in probability and statistics, and other areas of mathematics.


Continuous Function Bounded Function Fundamental Theorem Induction Argument Improper Integral 
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Copyright information

© Springer Science+Business Media New York 1980

Authors and Affiliations

  • Kenneth A. Ross
    • 1
  1. 1.Department of MathematicsUniversity of OregonEugeneUSA

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