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The Resource Measure, Integral, Derivative : A Course on Lebesgue's Theory, by Sergei Ovchinnikov, (electronic resource)
Measure, Integral, Derivative : A Course on Lebesgue's Theory, by Sergei Ovchinnikov, (electronic resource)
Resource Information
The item Measure, Integral, Derivative : A Course on Lebesgue's Theory, by Sergei Ovchinnikov, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Measure, Integral, Derivative : A Course on Lebesgue's Theory, by Sergei Ovchinnikov, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 This classroomtested text is intended for a onesemester course in Lebesgue’s theory. With over 180 exercises, the text takes an elementary approach, making it easily accessible to both upperundergraduate and lowergraduatelevel students. The three main topics presented are measure, integration, and differentiation, and the only prerequisite is a course in elementary real analysis. In order to keep the book selfcontained, an introductory chapter is included with the intent to fill the gap between what the student may have learned before and what is required to fully understand the consequent text. Proofs of difficult results, such as the differentiability property of functions of bounded variations, are dissected into small steps in order to be accessible to students. With the exception of a few simple statements, all results are proven in the text. The presentation is elementary, where σalgebras are not used in the text on measure theory and Dini’s derivatives are not used in the chapter on differentiation. However, all the main results of Lebesgue’s theory are found in the book
 Language

 eng
 eng
 Edition
 1st ed. 2013.
 Extent
 1 online resource (X, 146 p. 16 illus.)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Contents

 1 Preliminaries
 2 Lebesgue Measure
 3 Lebesgue Integration
 4 Differentiation and Integration
 A Measure and Integral over Unbounded Sets
 Index
 Isbn
 9781461471967
 Label
 Measure, Integral, Derivative : A Course on Lebesgue's Theory
 Title
 Measure, Integral, Derivative
 Title remainder
 A Course on Lebesgue's Theory
 Statement of responsibility
 by Sergei Ovchinnikov
 Language

 eng
 eng
 Summary
 This classroomtested text is intended for a onesemester course in Lebesgue’s theory. With over 180 exercises, the text takes an elementary approach, making it easily accessible to both upperundergraduate and lowergraduatelevel students. The three main topics presented are measure, integration, and differentiation, and the only prerequisite is a course in elementary real analysis. In order to keep the book selfcontained, an introductory chapter is included with the intent to fill the gap between what the student may have learned before and what is required to fully understand the consequent text. Proofs of difficult results, such as the differentiability property of functions of bounded variations, are dissected into small steps in order to be accessible to students. With the exception of a few simple statements, all results are proven in the text. The presentation is elementary, where σalgebras are not used in the text on measure theory and Dini’s derivatives are not used in the chapter on differentiation. However, all the main results of Lebesgue’s theory are found in the book
 http://library.link/vocab/creatorName
 Ovchinnikov, Sergei
 Dewey number
 515/.83
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 bjpdsHLWcdI
 Image bit depth
 0
 Language note
 English
 LC call number
 QA312312.5
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Universitext,
 http://library.link/vocab/subjectName

 Mathematics
 Global analysis (Mathematics)
 Measure and Integration
 Real Functions
 Analysis
 Label
 Measure, Integral, Derivative : A Course on Lebesgue's Theory, by Sergei Ovchinnikov, (electronic resource)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Antecedent source
 mixed
 Bibliography note
 Includes bibliographical references (page 143) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Contents
 1 Preliminaries  2 Lebesgue Measure  3 Lebesgue Integration  4 Differentiation and Integration  A Measure and Integral over Unbounded Sets  Index
 Dimensions
 unknown
 Edition
 1st ed. 2013.
 Extent
 1 online resource (X, 146 p. 16 illus.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9781461471967
 Level of compression
 uncompressed
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9781461471967
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3390000000037148
 (SSID)ssj0001067678
 (PQKBManifestationID)11630099
 (PQKBTitleCode)TC0001067678
 (PQKBWorkID)11092783
 (PQKB)11132383
 (DEHe213)9781461471967
 (MiAaPQ)EBC3107064
 (EXLCZ)993390000000037148
 Label
 Measure, Integral, Derivative : A Course on Lebesgue's Theory, by Sergei Ovchinnikov, (electronic resource)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Antecedent source
 mixed
 Bibliography note
 Includes bibliographical references (page 143) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Contents
 1 Preliminaries  2 Lebesgue Measure  3 Lebesgue Integration  4 Differentiation and Integration  A Measure and Integral over Unbounded Sets  Index
 Dimensions
 unknown
 Edition
 1st ed. 2013.
 Extent
 1 online resource (X, 146 p. 16 illus.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9781461471967
 Level of compression
 uncompressed
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9781461471967
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3390000000037148
 (SSID)ssj0001067678
 (PQKBManifestationID)11630099
 (PQKBTitleCode)TC0001067678
 (PQKBWorkID)11092783
 (PQKB)11132383
 (DEHe213)9781461471967
 (MiAaPQ)EBC3107064
 (EXLCZ)993390000000037148
Library Locations

Architecture LibraryBorrow itGould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US35.205706 97.445050



Chinese Literature Translation ArchiveBorrow it401 W. Brooks St., RM 414, Norman, OK, 73019, US35.207487 97.447906

Engineering LibraryBorrow itFelgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US35.205706 97.445050

Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

Western History CollectionsBorrow itMonnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US35.209584 97.445414
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/MeasureIntegralDerivativeACourseon/YymMyuYopU4/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/MeasureIntegralDerivativeACourseon/YymMyuYopU4/">Measure, Integral, Derivative : A Course on Lebesgue's Theory, by Sergei Ovchinnikov, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>