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)

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
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
This classroom-tested text is intended for a one-semester course in Lebesgue’s theory. With over 180 exercises, the text takes an elementary approach, making it easily accessible to both upper-undergraduate- and lower-graduate-level 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 self-contained, 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 σ-algebras 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
Member of
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
QA312-312.5
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)
Instantiates
Publication
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
10.1007/978-1-4614-7196-7
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
  • (DE-He213)978-1-4614-7196-7
  • (MiAaPQ)EBC3107064
  • (EXLCZ)993390000000037148
Label
Measure, Integral, Derivative : A Course on Lebesgue's Theory, by Sergei Ovchinnikov, (electronic resource)
Publication
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
10.1007/978-1-4614-7196-7
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
  • (DE-He213)978-1-4614-7196-7
  • (MiAaPQ)EBC3107064
  • (EXLCZ)993390000000037148

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