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Real analysis : measures, integrals and applications

著者: B M Makarov; Anatolii Podkorytov
出版商: London ; New York : Springer, ©2013.
丛书: Universitext.
版本/格式:   电子图书 : 文献 : 英语查看所有的版本和格式
数据库:WorldCat
提要:
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  再读一些...
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类型/形式: Electronic books
附加的形体格式: Printed edition:
材料类型: 文献, 互联网资源
文件类型: 互联网资源, 计算机文档
所有的著者/提供者: B M Makarov; Anatolii Podkorytov
ISBN: 9781447151227 1447151224 1447151216 9781447151210
OCLC号码: 850907435
描述: 1 online resource.
内容: 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.
丛书名: Universitext.
责任: Boris Makarov, Anatolii Podkorytov.

摘要:

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.  再读一些...

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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 再读一些...

 
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