Holdings: Measure theory :: THWS Bibkatalog

Measure theory:

Saved in:

Bibliographic Details
Main Author:	Cohn, Donald L. 1942- (Author)
Format:	Book
Language:	English
Published:	New York [u.a.] Birkhäuser Springer 2013
Edition:	2. ed.
Series:	Birkhäuser Advanced Texts Basler Lehrbücher
Subjects:	Maattheorie Mesure, Théorie de la Teoría de la medida Measure theory Maßtheorie
Online Access:	Inhaltsverzeichnis Abstract
Physical Description:	XXI, 457 S. graph. Darst.
ISBN:	9781461469551

Staff View

MARC


LEADER	00000nam a2200000 c 4500
001	BV040980088
003	DE-604
005	20190412
007	t
008	130503s2013 d\|\|\| \|\|\|\| 00\|\|\| eng d
020			\|a 9781461469551 \|c hbk \|9 978-1-4614-6955-1
035			\|a (OCoLC)855568339
035			\|a (DE-599)BVBBV040980088
040			\|a DE-604 \|b ger \|e rakddb
041	0		\|a eng
049			\|a DE-20 \|a DE-11 \|a DE-384 \|a DE-19 \|a DE-188 \|a DE-83 \|a DE-521 \|a DE-29T
050		0	\|a QA312
082	0		\|a 515.4/2
084			\|a SK 430 \|0 (DE-625)143239: \|2 rvk
084			\|a 28C05 \|2 msc
084			\|a 28-01 \|2 msc
084			\|a 26A39 \|2 msc
084			\|a 60Bxx \|2 msc
100	1		\|a Cohn, Donald L. \|d 1942- \|0 (DE-588)131522876 \|4 aut
245	1	0	\|a Measure theory \|c Donald L. Cohn
250			\|a 2. ed.
264		1	\|a New York [u.a.] \|b Birkhäuser Springer \|c 2013
300			\|a XXI, 457 S. \|b graph. Darst.
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
490	0		\|a Birkhäuser Advanced Texts
490	0		\|a Basler Lehrbücher
650		7	\|a Maattheorie \|2 gtt
650		4	\|a Mesure, Théorie de la
650		4	\|a Teoría de la medida
650		4	\|a Measure theory
650	0	7	\|a Maßtheorie \|0 (DE-588)4074626-4 \|2 gnd \|9 rswk-swf
689	0	0	\|a Maßtheorie \|0 (DE-588)4074626-4 \|D s
689	0		\|5 DE-604
776	0	8	\|i Erscheint auch als \|n Online-Ausgabe \|z 978-1-4614-6956-8
856	4	2	\|m Springer Fremddatenuebernahme \|q application/pdf \|u 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 \|3 Inhaltsverzeichnis
856	4	2	\|m Springer Fremddatenuebernahme \|q application/pdf \|u 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 \|3 Abstract
999			\|a oai:aleph.bib-bvb.de:BVB01-025958101

Record in the Search Index

_version_	1804150298686521344
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-
author_GND	(DE-588)131522876
author_facet	Cohn, Donald L. 1942-
author_role	aut
author_sort	Cohn, Donald L. 1942-
author_variant	d l c dl dlc
building	Verbundindex
bvnumber	BV040980088
callnumber-first	Q - Science
callnumber-label	QA312
callnumber-raw	QA312
callnumber-search	QA312
callnumber-sort	QA 3312
callnumber-subject	QA - Mathematics
classification_rvk	SK 430
ctrlnum	(OCoLC)855568339 (DE-599)BVBBV040980088
dewey-full	515.4/2
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	515 - Analysis
dewey-raw	515.4/2
dewey-search	515.4/2
dewey-sort	3515.4 12
dewey-tens	510 - Mathematics
discipline	Mathematik
edition	2. ed.
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01926nam a2200493 c 4500</leader><controlfield tag="001">BV040980088</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20190412 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">130503s2013 d\|\|\| \|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781461469551</subfield><subfield code="c">hbk</subfield><subfield code="9">978-1-4614-6955-1</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)855568339</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV040980088</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-20</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-521</subfield><subfield code="a">DE-29T</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA312</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.4/2</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 430</subfield><subfield code="0">(DE-625)143239:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">28C05</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">28-01</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">26A39</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">60Bxx</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Cohn, Donald L.</subfield><subfield code="d">1942-</subfield><subfield code="0">(DE-588)131522876</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Measure theory</subfield><subfield code="c">Donald L. Cohn</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">2. ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York [u.a.]</subfield><subfield code="b">Birkhäuser Springer</subfield><subfield code="c">2013</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XXI, 457 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Birkhäuser Advanced Texts</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Basler Lehrbücher</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Maattheorie</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mesure, Théorie de la</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Teoría de la medida</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Measure theory</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Maßtheorie</subfield><subfield code="0">(DE-588)4074626-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Maßtheorie</subfield><subfield code="0">(DE-588)4074626-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="z">978-1-4614-6956-8</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Springer Fremddatenuebernahme</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Springer Fremddatenuebernahme</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Abstract</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-025958101</subfield></datafield></record></collection>
id	DE-604.BV040980088
illustrated	Illustrated
indexdate	2024-07-10T00:36:42Z
institution	BVB
isbn	9781461469551
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-025958101
oclc_num	855568339
open_access_boolean
owner	DE-20 DE-11 DE-384 DE-19 DE-BY-UBM DE-188 DE-83 DE-521 DE-29T
owner_facet	DE-20 DE-11 DE-384 DE-19 DE-BY-UBM DE-188 DE-83 DE-521 DE-29T
physical	XXI, 457 S. graph. Darst.
publishDate	2013
publishDateSearch	2013
publishDateSort	2013
publisher	Birkhäuser Springer
record_format	marc
series2	Birkhäuser Advanced Texts Basler Lehrbücher
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
url	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 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
work_keys_str_mv	AT cohndonaldl measuretheory

Holdings

There is no print copy available.

Interlibrary loan Place Request Caution: Not in THWS collection! Indexes

MARC

Record in the Search Index

There is no print copy available.

Similar Items