• 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 
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.

Copyright information

© Springer Science+Business Media New York 1980

Authors and Affiliations

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

Personalised recommendations