The Lebesgue-Stieltjes Integral : a Practical Introduction /

Mathematics students generally meet the Riemann integral early in their undergraduate studies, then at advanced undergraduate or graduate level they receive a course on measure and integration dealing with the Lebesgue theory. However, those whose interests lie more in the direction of applied mathe...

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Bibliographic Details
Main Author: Carter, Harold
Corporate Author: SpringerLink (Online service)
Other Authors: Brunt, B.
Format: eBook
Language:English
Published: New York, NY : Springer New York, 2000.
Series:Undergraduate texts in mathematics.
Subjects:
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Real Numbers
  • Some Analytic Preliminaries
  • The Riemann Integral
  • The Lebesgue-Stieltjes Integral
  • Properties of the Integral
  • Integral Calculus
  • Double and Repeated Integrals
  • The Lebesgue Spaces Lp
  • Hilbert Spaces and L2
  • Epilogue.