Real analysis: measures, integrals and applications:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
London [u.a.]
Springer
2013
|
| Schriftenreihe: | Universitext
|
| Schlagworte: | |
| Online-Zugang: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | Aus dem Russ. übers. |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9781447151210 9781447151227 |
| DOI: | 10.1007/978-1-4471-5122-7 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804150648807096320 |
|---|---|
| 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 |
| author_role | aut aut |
| author_sort | Makarov, Boris |
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| dewey-raw | 515.42 |
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| 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 |
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