Holdings: Real analysis: measures, integrals and applications

Real analysis: measures, integrals and applications:

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Bibliographic Details
Main Authors:	Makarov, Boris (Author), Podkorytov, Anatolii (Author)
Format:	Electronic eBook
Language:	English
Published:	London [u.a.] Springer 2013
Series:	Universitext
Subjects:	Reelle Analysis
Online Access:	BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract
Item Description:	Aus dem Russ. übers.
Physical Description:	1 Online-Ressource
ISBN:	9781447151210 9781447151227
DOI:	10.1007/978-1-4471-5122-7

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MARC


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adam_text	REAL ANALYSIS: MEASURES, INTEGRALS AND APPLICATIONS / MAKAROV, BORIS : 2013 TABLE OF CONTENTS / INHALTSVERZEICHNIS MEASURE THE LEBESGUE MODEL MEASURABLE FUNCTIONS THE INTEGRAL THE PRODUCT MEASURE CHANGE OF VARIABLES IN AN INTEGRAL INTEGRALS DEPENDENT ON A PARAMETER SURFACE INTEGRALS APPROXIMATION AND CONVOLUTION OF THE SPACE FOURIER SERIES AND THE FOURIER TRANSFORM CHARGES. THE RADON-NIKODYM THEORY INTEGRAL REPRESENTATION OF LINEAR FUNCTIONALS APPENDICES DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. REAL ANALYSIS: MEASURES, INTEGRALS AND APPLICATIONS / MAKAROV, BORIS : 2013 ABSTRACT / INHALTSTEXT 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 DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
any_adam_object	1
author	Makarov, Boris Podkorytov, Anatolii
author_facet	Makarov, Boris Podkorytov, Anatolii
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author_sort	Makarov, Boris
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dewey-full	515.42
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	515 - Analysis
dewey-raw	515.42
dewey-search	515.42
dewey-sort	3515.42
dewey-tens	510 - Mathematics
discipline	Mathematik
doi_str_mv	10.1007/978-1-4471-5122-7
format	Electronic eBook
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spelling	Makarov, Boris Verfasser aut Lekcii po veščestvennomu analizu Real analysis: measures, integrals and applications Boris Makarov ; Anatolii Podkorytov London [u.a.] Springer 2013 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Universitext Aus dem Russ. übers. Reelle Analysis (DE-588)4627581-2 gnd rswk-swf Reelle Analysis (DE-588)4627581-2 s 1\p DE-604 Podkorytov, Anatolii Verfasser aut https://doi.org/10.1007/978-1-4471-5122-7 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026189552&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026189552&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Makarov, Boris Podkorytov, Anatolii Real analysis: measures, integrals and applications Reelle Analysis (DE-588)4627581-2 gnd
subject_GND	(DE-588)4627581-2
title	Real analysis: measures, integrals and applications
title_alt	Lekcii po veščestvennomu analizu
title_auth	Real analysis: measures, integrals and applications
title_exact_search	Real analysis: measures, integrals and applications
title_full	Real analysis: measures, integrals and applications Boris Makarov ; Anatolii Podkorytov
title_fullStr	Real analysis: measures, integrals and applications Boris Makarov ; Anatolii Podkorytov
title_full_unstemmed	Real analysis: measures, integrals and applications Boris Makarov ; Anatolii Podkorytov
title_short	Real analysis: measures, integrals and applications
title_sort	real analysis measures integrals and applications
topic	Reelle Analysis (DE-588)4627581-2 gnd
topic_facet	Reelle Analysis
url	https://doi.org/10.1007/978-1-4471-5122-7 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026189552&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026189552&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
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