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Notes on Measure and Integration by John Franks



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About this book :-
This text introduce the Lebesgue integral in a quick, and hopefully painless, way and then go on to investigate the standard convergence theorems and a brief introduction to the Hilbert space of L2 functions on the interval. The actual construction of Lebesgue measure and proofs of its key properties are relegated to an appendix. Instead the text introduces Lebesgue measure as a generalization of the concept of length and motivates its key properties: monotonicity, countable additivity, and translation invariance. The text is used in teaching a one quarter course on integration at the advanced undergraduate level.

Book Detail :-
This book has following details information.
Title: Notes on Measure and Integration by John Franks by NA
Publisher: ArXiv
Series: eBooksDirectory
Year: 2009
Pages: 118
Type: PDF
Language: English
ISBN-10 #:
ISBN-13 #:
Country: Pakistan
License: CC BY-NC-SA 3.0 US
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About Author :-
The author NA NA

Book Contents :-
conver the following topics.
0. Background and Foundations 1. The Regulated and Riemann Integrals 2. Lebesgue Measure 3. The Lebesgue Integral 4. The Integral of Unbounded Functions 5. The Hilbert Space L2[-1, 1] A. Lebesgue Measure B. A Non-measurable Set

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