Verfügbarkeit: Measure theory

Measure theory:

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Bibliographische Detailangaben
1. Verfasser:	Cohn, Donald L. 1942- (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	New York [u.a.] Birkhäuser Springer 2013
Ausgabe:	2. ed.
Schriftenreihe:	Birkhäuser Advanced Texts Basler Lehrbücher
Schlagworte:	Maattheorie Mesure, Théorie de la Teoría de la medida Measure theory Maßtheorie
Online-Zugang:	Inhaltsverzeichnis Abstract
Beschreibung:	XXI, 457 S. graph. Darst.
ISBN:	9781461469551

Internformat

MARC


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Datensatz im Suchindex

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adam_text	MEASURE THEORY / COHN, DONALD L. : 2013 TABLE OF CONTENTS / INHALTSVERZEICHNIS 1. MEASURES ALGEBRAS AND SIGMA-ALGEBRAS MEASURES OUTER MEASURES LEBESGUE MEASURE COMPLETENESS AND REGULARITY DYNKIN CLASSES 2. FUNCTIONS AND INTEGRALS MEASURABLE FUNCTIONS PROPERTIES THAT HOLD ALMOST EVERYWHERE THE INTEGRAL LIMIT THEOREMS THE RIEMANN INTEGRAL MEASURABLE FUNCTIONS AGAIN, COMPLEX-VALUED FUNCTIONS, AND IMAGE MEASURES 3. CONVERGENCE MODES OF CONVERGENCE NORMED SPACES DEFINITION OF L^P AND L^P PROPERTIES OF L^P AND L-P DUAL SPACES 4. SIGNED AND COMPLEX MEASURES SIGNED AND COMPLEX MEASURES ABSOLUTE CONTINUITY SINGULARITY FUNCTIONS OF BOUNDED VARIATION THE DUALS OF THE L^P SPACES 5. PRODUCT MEASURES CONSTRUCTIONS FUBINI’S THEOREM APPLICATIONS 6. DIFFERENTIATION CHANGE OF VARIABLE IN R^D DIFFERENTIATION OF MEASURES DIFFERENTIATION OF FUNCTIONS 7. MEASURES ON LOCALLY COMPACT SPACES LOCALLY COMPACT SPACES THE RIESZ REPRESENTATION THEOREM SIGNED AND COMPLEX MEASURES; DUALITY ADDITIONAL PROPERTIES OF REGULAR MEASURES THE µ^*-MEASURABLE SETS AND THE DUAL OF L^1 PRODUCTS OF LOCALLY COMPACT SPACES 8. POLISH SPACES AND ANALYTIC SETS POLISH SPACES ANALYTIC SETS THE SEPARATION THEOREM AND ITS CONSEQUENCES THE MEASURABILITY OF ANALYTIC SETS CROSS SECTIONS STANDARD, ANALYTIC, LUSIN, AND SOUSLIN SPACES 9. HAAR MEASURE TOPOLOGICAL GROUPS THE EXISTENCE AND UNIQUENESS OF HAAR MEASURE THE ALGEBRAS L^1 (G) AND M (G) APPENDICES A. NOTATION AND SET THEORY B. ALGEBRA C. CALCULUS AND TOPOLOGY IN R^D D. TOPOLOGICAL SPACES AND METRIC SPACES E. THE BOCHNER INTEGRAL F LIFTINGS G THE BANACH-TARSKI PARADOX H THE HENSTOCK-KURZWEIL AND MCSHANE INTEGRALSBIBLIOGRAPHY INDEX OF NOTATION INDEX DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. MEASURE THEORY / COHN, DONALD L. : 2013 ABSTRACT / INHALTSTEXT INTENDED AS A SELF-CONTAINED INTRODUCTION TO MEASURE THEORY, THIS TEXTBOOK ALSO INCLUDESA COMPREHENSIVE TREATMENT OF INTEGRATION ON LOCALLY COMPACT HAUSDORFF SPACES, THE ANALYTIC AND BOREL SUBSETS OF POLISH SPACES, AND HAAR MEASURES ON LOCALLY COMPACT GROUPS. THIS SECOND EDITION INCLUDES A CHAPTER ON MEASURE-THEORETIC PROBABILITY THEORY, PLUS BRIEF TREATMENTS OF THE BANACH-TARSKI PARADOX, THE HENSTOCK-KURZWEIL INTEGRAL, THE DANIELL INTEGRAL, AND THE EXISTENCE OF LIFTINGS. MEASURE THEORY PROVIDES A SOLID BACKGROUND FOR STUDY IN BOTH FUNCTIONAL ANALYSIS AND PROBABILITY THEORY AND IS AN EXCELLENT RESOURCE FOR ADVANCED UNDERGRADUATE AND GRADUATE STUDENTS IN MATHEMATICS. THE PREREQUISITES FOR THIS BOOK ARE BASIC COURSES IN POINT-SET TOPOLOGY AND IN ANALYSIS, AND THE APPENDICES PRESENT A THOROUGH REVIEW OFESSENTIAL BACKGROUND MATERIAL. THE AUTHOR AIMS TO PRESENT A STRAIGHTFORWARD TREATMENT OF THE PART OF MEASURE THEORY NECESSARY FOR ANALYSIS AND PROBABILITY ASSUMING ONLY BASIC KNOWLEDGE OF ANALYSIS AND TOPOLOGY...EACH CHAPTER INCLUDES NUMEROUS WELL-CHOSEN EXERCISES, VARYING FROM VERY ROUTINE PRACTICE PROBLEMS TO IMPORTANT EXTENSIONS AND DEVELOPMENTS OF THE THEORY; FOR THE DIFFICULT ONES THERE ARE HELPFUL HINTS. IT IS THE REVIEWER S OPINION THAT THE AUTHOR HAS SUCCEEDED IN HIS AIM. IN SPITE OF ITS LACK OF NEW RESULTS, THE SELECTION AND PRESENTATION OF MATERIALS MAKES THIS A USEFUL BOOK FOR AN INTRODUCTION TO MEASURE AND INTEGRATION THEORY. —MATHEMATICAL REVIEWS (REVIEW OF THE FIRST EDITION) THE BOOK IS A COMPREHENSIVE AND CLEARLY WRITTEN TEXTBOOK ON MEASURE AND INTEGRATION...THE BOOK CONTAINS APPENDICES ON SET THEORY, ALGEBRA, CALCULUS AND TOPOLOGY IN EUCLIDEAN SPACES, TOPOLOGICAL AND METRIC SPACES, AND THE BOCHNER INTEGRAL. EACH SECTION OF THE BOOK CONTAINS A NUMBER OF EXERCISES. —ZBMATH (REVIEW OF THE FIRST EDITION) DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
any_adam_object	1
author	Cohn, Donald L. 1942-
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author_sort	Cohn, Donald L. 1942-
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dewey-tens	510 - Mathematics
discipline	Mathematik
edition	2. ed.
format	Book
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spelling	Cohn, Donald L. 1942- (DE-588)131522876 aut Measure theory Donald L. Cohn 2. ed. New York [u.a.] Birkhäuser Springer 2013 XXI, 457 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Birkhäuser Advanced Texts Basler Lehrbücher Maattheorie gtt Mesure, Théorie de la Teoría de la medida Measure theory Maßtheorie (DE-588)4074626-4 gnd rswk-swf Maßtheorie (DE-588)4074626-4 s DE-604 Erscheint auch als Online-Ausgabe 978-1-4614-6956-8 Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025958101&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=025958101&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract
spellingShingle	Cohn, Donald L. 1942- Measure theory Maattheorie gtt Mesure, Théorie de la Teoría de la medida Measure theory Maßtheorie (DE-588)4074626-4 gnd
subject_GND	(DE-588)4074626-4
title	Measure theory
title_auth	Measure theory
title_exact_search	Measure theory
title_full	Measure theory Donald L. Cohn
title_fullStr	Measure theory Donald L. Cohn
title_full_unstemmed	Measure theory Donald L. Cohn
title_short	Measure theory
title_sort	measure theory
topic	Maattheorie gtt Mesure, Théorie de la Teoría de la medida Measure theory Maßtheorie (DE-588)4074626-4 gnd
topic_facet	Maattheorie Mesure, Théorie de la Teoría de la medida Measure theory Maßtheorie
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