Measure and Integration: An Advanced Course in Basic Procedures and Applications free ebook download.

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Measure and Integration: An Advanced Course in Basic Procedures and Applications free ebook download

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Mathematics

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Author(s):	Heinz Konig

Date:	1997	Format:	PDF	Language:	English	ISBN/ASIN:	3540618589
Pages:	1	OCR:		Quality:		ISBN13:
Uploader:	eternal	Upload Date:	12/22/2019 7:09:30 PM

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This book sets out to restructure certain fundamentals in measure and integration theory, and thus to fee the theory from some notorious drawbacks. It centers around the ubiquitous task of producing appropriate contents and measures from more primitive data, in order to extend elementary contents and to represent elementary integrals.
This task has not been met with adequate unified means so far. The traditional main tools, the Carathodory and Daniell-Stone theorems, are too restrictive and had to be supplemented by other ad-hoc procedures. Around 1970 a new approach emerged, based on the notion of regularity, which in traditional measure theory is linked to topology. The present book develops the new approach into a systematic theory. The theory unifies the entire context and is much more powerful than the former means. It has striking implications all over measure theory and beyond. Thus it extends the Riesz representation theorem in terms of Randon measures from locally compact to arbitrary Hausdorff topological spaces. It furthers the methodical unification with non-additive set functions, as shown in natural extensions of the Choquet capacitability theorem. The presentation of this research monograph is self-contained, and starts from the beginning. It is addressed to research workers in mathematical analysis and in applications like mathematical economics, and in particular for university teachers in measure and integration theory. The corrected, second printing includes required corrections and appropriate small alterations of the text and a list of the subsequent articles by the author.
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	Title	Link	Password	Size (MB)	Thank to	Inform Admin
2658778	Book	http://k2s.cc/file/c4712be13dadb...		8.57	eternal

Tags: Advanced Applications Basic Course Integration Measure Procedures

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