A primer of Lebesgue integration /

The Lebesgue integral is now standard for both applications and advanced mathematics. This books starts with a review of the familiar calculus integral and then constructs the Lebesgue integral from the ground up using the same ideas. A Primer of Lebesgue Integration has been used successfully both...

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Bibliographic Details
Main Author: Bear, H. S.
Format: eBook
Published: San Diego : Academic Press, ©2002.
Edition:2nd ed.
Online Access:CONNECT
Table of Contents:
  • The Riemann-Darboux Integral; The Riemann Integral as a Limit of Sums; Lebesgue Measure on (0, 1);
  • Measurable Sets: The Caratheodory Characterization;
  • The Lebesgue Integral for Bounded Functions; Properties of the Integral; The Integral of Unbounded Functions; Differentiation and Integration; Plane Measure; The Relationship between æ and General Measures; Integration for General Measures; More Integration: The Radon-Nikodym Theorem; Product Measures; The Space L2; Index.