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Real analysis : measures, integrals and applications

Autor: B M Makarov; Anatolii Podkorytov
Editora: London ; New York : Springer, ©2013.
Séries: Universitext.
Edição/Formato   e-book : Documento : InglêsVer todas as edições e formatos
Base de Dados:WorldCat
Resumo:
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  Ler mais...
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Detalhes

Gênero/Forma: Electronic books
Formato Físico Adicional: Printed edition:
Tipo de Material: Documento, Recurso Internet
Tipo de Documento: Recurso Internet, Arquivo de Computador
Todos os Autores / Contribuintes: B M Makarov; Anatolii Podkorytov
ISBN: 9781447151227 1447151224 1447151216 9781447151210
Número OCLC: 850907435
Descrição: 1 online resource.
Conteúdos: 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.
Título da Série: Universitext.
Responsabilidade: Boris Makarov, Anatolii Podkorytov.

Resumo:

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.  Ler mais...

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From the reviews: "The book contains enough material for a good three-semester graduate course in analysis. Complete proofs are given for all results, and the reader-friendly, exposition style Ler mais...

 
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