Integration Theory: 1st Edition (Hardback) book cover

Integration Theory

1st Edition

By Wolfgang Filter, K. Weber

Chapman and Hall/CRC

296 pages

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Hardback: 9780412576805
pub: 1997-07-01
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This introductory text acts as a singular resource for undergraduates learning the fundamental principles and applications of integration theory.

Chapters discuss: function spaces and functionals, extension of Daniell spaces, measures of Hausdorff spaces, spaces of measures, elements of the theory of real functions on R.

Table of Contents


Function Spaces and Functionals

Ordered Sets, Lattices

The Spaces RX and R-X

Vector Lattices of Functions


Daniell Spaces

The Extension of Daniell Spaces

Upper Functions

Lower Functions

The Closure of (x, L, I)

Convergence of Theorems in (x, L(L), I)


Null Functions and Null Sets, Integrability


The Induction Principle


Measure and Integral

The Extension of Positive Measure Spaces


Locally Integrable Functions

Product Measures

Fubini's Theorem

Measures of Hausdorff Spaces


Vector Lattices, Lp-Spaces

Spaces of Measures

The Vector Lattice Structure

The Variation

Hahn's Theorem

Absolute Continuity

The Radon-Nikodym Theorem

Elements of the Theory of Real Functions on R

Functions of Locally Finite Variation

Absolutely Continuous Functions

About the Series

Chapman Hall/CRC Mathematics Series

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Subject Categories

BISAC Subject Codes/Headings:
MATHEMATICS / Differential Equations