Essentials of measure theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cham
Springer
[2015]
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| Schlagworte: | |
| Online-Zugang: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 URL des Erstveröffentlichers Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online Ressource (XIII, 279 Seiten, 1 illus) |
| ISBN: | 9783319225067 |
| DOI: | 10.1007/978-3-319-22506-7 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804175707287322624 |
|---|---|
| adam_text | ESSENTIALS OF MEASURE THEORY
/ KUBRUSLY, CARLOS S.
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PREFACE
PART I. INTRODUCTION TO MEASURE AND INTEGRATION.-1. MEASURABLE FUNCTIONS
2. MEASURE ON A Σ-ALGEBRA
3. INTEGRAL OF NONNEGATIVE FUNCTIONS
4. INTEGRAL OF REAL-VALUED FUNCTIONS
5. BANACH SPACES LP
6. CONVERGENCE OF FUNCTIONS
7. DECOMPOSITION OF MEASURES
8. EXTENSION OF MEASURES
9. PRODUCT MEASURES
PART II
10. REMARKS ON INTEGRALS
11. BOREL MEASURE
12. REPRESENTATION THEOREMS
13. INVARIANT MEASURES
REFERENCES
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
ESSENTIALS OF MEASURE THEORY
/ KUBRUSLY, CARLOS S.
: 2015
ABSTRACT / INHALTSTEXT
CLASSICAL IN ITS APPROACH, THIS TEXTBOOK IS THOUGHTFULLY DESIGNED AND
COMPOSED IN TWO PARTS. PART I IS MEANT FOR A ONE-SEMESTER BEGINNING
GRADUATE COURSE IN MEASURE THEORY, PROPOSING AN “ABSTRACT” APPROACH
TO MEASURE AND INTEGRATION, WHERE THE CLASSICAL CONCRETE CASES OF
LEBESGUE MEASURE AND LEBESGUE INTEGRAL ARE PRESENTED AS AN IMPORTANT
PARTICULAR CASE OF GENERAL THEORY. PART II OF THE TEXT IS MORE ADVANCED
AND IS ADDRESSED TO A MORE EXPERIENCED READER. THE MATERIAL IS DESIGNED
TO COVER ANOTHER ONE-SEMESTER GRADUATE COURSE SUBSEQUENT TO A FIRST
COURSE, DEALING WITH MEASURE AND INTEGRATION IN TOPOLOGICAL SPACES. THE
FINAL SECTION OF EACH CHAPTER IN PART I PRESENTS PROBLEMS THAT ARE
INTEGRAL TO EACH CHAPTER, THE MAJORITY OF WHICH CONSIST OF AUXILIARY
RESULTS, EXTENSIONS OF THE THEORY, EXAMPLES, AND COUNTEREXAMPLES.
PROBLEMS WHICH ARE HIGHLY THEORETICAL HAVE ACCOMPANYING HINTS. THE LAST
SECTION OF EACH CHAPTER OF PART II CONSISTS OF ADDITIONAL PROPOSITIONS
CONTAINING AUXILIARY AND COMPLEMENTARY RESULTS. THE ENTIRE BOOK CONTAINS
COLLECTIONS OF SUGGESTED READINGS AT THE END OF EACH CHAPTER IN ORDER TO
HIGHLIGHT ALTERNATE APPROACHES, PROOFS, AND ROUTES TOWARD ADDITIONAL
RESULTS. WITH MODEST PREREQUISITES, THIS TEXT IS INTENDED TO MEET THE
NEEDS OF A CONTEMPORARY COURSE IN MEASURE THEORY FOR MATHEMATICS
STUDENTS AND IS ALSO ACCESSIBLE TO A WIDER STUDENT AUDIENCE, NAMELY
THOSE IN STATISTICS, ECONOMICS, ENGINEERING, AND PHYSICS. PART I MAY BE
ALSO ACCESSIBLE TO ADVANCED UNDERGRADUATES WHO FULFILL THE PREREQUISITES
WHICH INCLUDE AN INTRODUCTORY COURSE IN ANALYSIS, LINEAR ALGEBRA
(CHAPTER 5 ONLY), AND ELEMENTARY SET THEORY
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Kubrusly, Carlos S. 1947- |
| author_GND | (DE-588)173093426 |
| author_facet | Kubrusly, Carlos S. 1947- |
| author_role | aut |
| author_sort | Kubrusly, Carlos S. 1947- |
| author_variant | c s k cs csk |
| building | Verbundindex |
| bvnumber | BV043209018 |
| classification_rvk | SK 430 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)932034531 (DE-599)BVBBV043209018 |
| 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 | 10.1007/978-3-319-22506-7 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T07:20:34Z |
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| isbn | 9783319225067 |
| language | English |
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| spelling | Kubrusly, Carlos S. 1947- Verfasser (DE-588)173093426 aut Essentials of measure theory Carlos S. Kubrusly Cham Springer [2015] © 2015 1 Online Ressource (XIII, 279 Seiten, 1 illus) txt rdacontent c rdamedia cr rdacarrier Mathematics Measure theory Topology Measure and Integration Mathematik Topologie (DE-588)4060425-1 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Maßtheorie (DE-588)4074626-4 gnd rswk-swf Mathematik (DE-588)4037944-9 s Maßtheorie (DE-588)4074626-4 s Topologie (DE-588)4060425-1 s 1\p DE-604 Erscheint auch als Druckausgabe 978-3-319-22505-0 https://doi.org/10.1007/978-3-319-22506-7 Verlag URL des Erstveröffentlichers Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632179&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=028632179&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 | Kubrusly, Carlos S. 1947- Essentials of measure theory Mathematics Measure theory Topology Measure and Integration Mathematik Topologie (DE-588)4060425-1 gnd Mathematik (DE-588)4037944-9 gnd Maßtheorie (DE-588)4074626-4 gnd |
| subject_GND | (DE-588)4060425-1 (DE-588)4037944-9 (DE-588)4074626-4 |
| title | Essentials of measure theory |
| title_auth | Essentials of measure theory |
| title_exact_search | Essentials of measure theory |
| title_full | Essentials of measure theory Carlos S. Kubrusly |
| title_fullStr | Essentials of measure theory Carlos S. Kubrusly |
| title_full_unstemmed | Essentials of measure theory Carlos S. Kubrusly |
| title_short | Essentials of measure theory |
| title_sort | essentials of measure theory |
| topic | Mathematics Measure theory Topology Measure and Integration Mathematik Topologie (DE-588)4060425-1 gnd Mathematik (DE-588)4037944-9 gnd Maßtheorie (DE-588)4074626-4 gnd |
| topic_facet | Mathematics Measure theory Topology Measure and Integration Mathematik Topologie Maßtheorie |
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