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Real Analysis: Measures, Integrals and Applications

Author: Boris Makarov; Anatolii Podkorytov
Publisher: London : Springer London : Imprint: Springer, 2013.
Series: Universitext
Edition/Format:   Print book : Document   Computer File : EnglishView all editions and formats
Database:WorldCat
Summary:

This book provides an introduction to Lebesgue measure and integration as well as the classical results concerning integrals of multivariable functions. It features over 600 examples.

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Additional Physical Format: Printed edition:
Real Analysis: Measures, Integrals and Applications
Material Type: Document
Document Type: Book, Computer File
All Authors / Contributors: Boris Makarov; Anatolii Podkorytov
ISBN: 9781447151227 1447151224
OCLC Number: 940921385
Description: 1 online resource (XIX, 772 p. 23 illus.)
Contents: Measure --
The Lebesgue Model --
Measurable Functions --
The Integral --
The Product Measure --
Change of Variables in an Integral --
Integrals Dependent on a Parameter --
Surface Integrals --
Approximation and Convolution of the Space --
Fourier Series and the Fourier Transform --
Charges. The Radon-Nikodym Theory --
Integral Representation of Linear Functionals --
Appendices.
Series Title: Universitext
Responsibility: by Boris Makarov, Anatolii Podkorytov.
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"Written in a didactic style, with clear proofs and intuitive motivations for the abstract notions, the book is a valuable addition to the literature on measure theory and integration and their Read more...

 
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