přejít na obsah
Real analysis : measures, integrals and applications Náhled dokumentu
ZavřítNáhled dokumentu
Probíhá kontrola...

Real analysis : measures, integrals and applications

Autor B M Makarov; Anatolii Podkorytov
Vydavatel: London ; New York : Springer, ©2013.
Edice: Universitext.
Vydání/formát:   e-kniha : Document : EnglishZobrazit všechny vydání a formáty
Databáze:WorldCat
Shrnutí:
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  Přečíst více...
Hodnocení:

(ještě nehodnoceno) 0 zobrazit recenze - Buďte první.

Předmětová hesla:
Více podobných

 

Najít online exemplář

Odkazy na tento dokument

Vyhledat exemplář v knihovně

&AllPage.SpinnerRetrieving; Vyhledávání knihoven, které vlastní tento dokument...

Detaily

Žánr/forma: Electronic books
Typ materiálu: Document, Internetový zdroj
Typ dokumentu: Internet Resource, Computer File
Všichni autoři/tvůrci: B M Makarov; Anatolii Podkorytov
ISBN: 9781447151227 1447151224
OCLC číslo: 850907435
Popis: 1 online resource.
Obsahy: 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.
Název edice: Universitext.
Odpovědnost: Boris Makarov, Anatolii Podkorytov.
Více informací:

Anotace:

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.  Přečíst více...

Recenze

Recenze redakce

Souhrn od vydavatele

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 Přečíst více...

 
Recenze vložené uživatelem
Nahrávání recenzí GoodReads...
Přebírání recenzí DOGO books...

Štítky

Buďte první.
Potvrdit tento požadavek

Tento dokument jste si již vyžádali. Prosím vyberte Ok pokud chcete přesto v žádance pokračovat.

Propojená data


<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

Zavřít okno

Prosím přihlaste se do WorldCat 

Nemáte účet? Můžete si jednoduše vytvořit bezplatný účet.