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Real analysis : measures, integrals and applications

Autore: B M Makarov; Anatolii Podkorytov
Editore: London ; New York : Springer, ©2013.
Serie: Universitext.
Edizione/Formato:   eBook : Document : EnglishVedi tutte le edizioni e i formati
Banca dati:WorldCat
Sommario:
Real Analysis: Measures, Integrals and Applications is devoted to the basics of integration theory and its related topics. The main emphasis is made on the properties of the Lebesgue integral and various applications both classical and those rarely covered in literature. This book provides a detailed introduction to Lebesgue measure and integration as well as the classical results concerning integrals of  Per saperne di più…
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Genere/forma: Electronic books
Informazioni aggiuntive sul formato: Printed edition:
Tipo materiale: Document, Risorsa internet
Tipo documento: Internet Resource, Computer File
Tutti gli autori / Collaboratori: B M Makarov; Anatolii Podkorytov
ISBN: 9781447151227 1447151224 1447151216 9781447151210
Numero OCLC: 850907435
Descrizione: 1 online resource.
Contenuti: Measure --
The Lebesgue Measure --
Measurable Functions --
The Integral --
The Product Measure --
Change of Variables in an Integral --
Integrals Dependent on a Parameter --
Surface Integrals --
Approximation and Convolution in the Spaces --
Fourier Series and the Fourier Transform --
Charges. The Radon-Nikodym Theorem --
Integral Representation of Linear Functionals.
Titolo della serie: Universitext.
Responsabilità: Boris Makarov, Anatolii Podkorytov.

Abstract:

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.  Per saperne di più…

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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 Per saperne di più…

 
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