passa ai contenuti
Real analysis : measures, integrals and applications Anteprima di questo documento
ChiudiAnteprima di questo documento
Stiamo controllando…

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…
Voto:

(non ancora votato) 0 con commenti - Diventa il primo.

Soggetti
Altri come questo

 

Trova una copia online

Collegamenti a questo documento

Trova una copia in biblioteca

&AllPage.SpinnerRetrieving; Stiamo ricercando le biblioteche che possiedono questo documento…

Dettagli

Genere/forma: Electronic books
Tipo materiale: Document, Risorsa internet
Tipo documento: Internet Resource, Computer File
Tutti gli autori / Collaboratori: B M Makarov; Anatolii Podkorytov
ISBN: 9781447151227 1447151224
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.
Maggiori informazioni:

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…

Commenti

Recensioni editoriali

Sinossi editore

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 Per saperne di più…

 
Commenti degli utenti
Recuperando commenti GoodReads…
Stiamo recuperando commenti DOGObooks

Etichette

Diventa il primo.
Conferma questa richiesta

Potresti aver già richiesto questo documento. Seleziona OK se si vuole procedere comunque con questa richiesta.

Dati collegati


<http://www.worldcat.org/oclc/850907435>
library:oclcnum"850907435"
library:placeOfPublication
library:placeOfPublication
library:placeOfPublication
owl:sameAs<info:oclcnum/850907435>
rdf:typeschema:Book
schema:about
schema:about
schema:about
schema:bookFormatschema:EBook
schema:contributor
schema:copyrightYear"2013"
schema:creator
schema:datePublished"2013"
schema:description"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 multivariable functions. It examines the concept of the Hausdorff measure, the properties of the area on smooth and Lipschitz surfaces, the divergence formula, and Laplace's method for finding the asymptotic behavior of integrals. The general theory is then applied to harmonic analysis, geometry, and topology. Preliminaries are provided on probability theory, including the study of the Rademacher functions as a sequence of independent random variables. The book contains more than 600 examples and exercises. The reader who has mastered the first third of the book will be able to study other areas of mathematics that use integration, such as probability theory, statistics, functional analysis, partial probability theory, statistics, functional analysis, partial differential equations and others. Real Analysis: Measures, Integrals and Applications is intended for advanced undergraduate and graduate students in mathematics and physics. It assumes that the reader is familiar with basic linear algebra and differential calculus of functions of several variables."
schema:exampleOfWork<http://worldcat.org/entity/work/id/1378921971>
schema:genre"Electronic books."
schema:inLanguage"en"
schema:name"Real analysis measures, integrals and applications"
schema:publisher
schema:url<http://dx.doi.org/10.1007/978-1-4471-5122-7>
schema:url
schema:workExample

Content-negotiable representations

Chiudi finestra

Per favore entra in WorldCat 

Non hai un account? Puoi facilmente crearne uno gratuito.